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Dazu klammert man ",[572,680,682,695],{"className":681},[575],[572,683,685],{"className":684},[579],[581,686,687],{"xmlns":583},[585,688,689,693],{},[588,690,691],{},[594,692,596],{},[602,694,596],{"encoding":604},[572,696,698],{"className":697,"ariaHidden":610},[609],[572,699,701,705],{"className":700},[614],[572,702],{"className":703,"style":704},[618],"height:0.4306em;",[572,706,596],{"className":707},[623,627]," immer wieder aus, wie in der Formel oben. Es bleiben nur Multiplikationen mit ",[572,710,712,729],{"className":711},[575],[572,713,715],{"className":714},[579],[581,716,717],{"xmlns":583},[585,718,719,727],{},[588,720,721],{},[591,722,723,725],{},[594,724,596],{},[598,726,600],{},[602,728,605],{"encoding":604},[572,730,732],{"className":731,"ariaHidden":610},[609],[572,733,735,738],{"className":734},[614],[572,736],{"className":737,"style":619},[618],[572,739,741,744],{"className":740},[623],[572,742,596],{"className":743},[623,627],[572,745,747],{"className":746},[631],[572,748,750,770],{"className":749},[635,636],[572,751,753,767],{"className":752},[640],[572,754,756],{"className":755,"style":645},[644],[572,757,758,761],{"style":648},[572,759],{"className":760,"style":653},[652],[572,762,764],{"className":763},[657,658,659,660],[572,765,600],{"className":766},[623,660],[572,768,668],{"className":769},[667],[572,771,773],{"className":772},[640],[572,774,776],{"className":775,"style":675},[644],[572,777],{}," und Additionen.",[564,780,781],{},"Man schreibt die Rechnung als Tabelle:",[783,784,785,941,944,1017],"ol",{},[786,787,788,789,940],"li",{},"In die erste Zeile alle Koeffizienten ",[572,790,792,827],{"className":791},[575],[572,793,795],{"className":794},[579],[581,796,797],{"xmlns":583},[585,798,799,824],{},[588,800,801,809,813,816,818],{},[591,802,803,806],{},[594,804,805],{},"a",[594,807,808],{},"n",[810,811,812],"mo",{"separator":610},",",[810,814,815],{},"…",[810,817,812],{"separator":610},[591,819,820,822],{},[594,821,805],{},[598,823,600],{},[602,825,826],{"encoding":604},"a_n, \\ldots, a_0",[572,828,830],{"className":829,"ariaHidden":610},[609],[572,831,833,837,878,882,887,891,894,897,900],{"className":832},[614],[572,834],{"className":835,"style":836},[618],"height:0.625em;vertical-align:-0.1944em;",[572,838,840,843],{"className":839},[623],[572,841,805],{"className":842},[623,627],[572,844,846],{"className":845},[631],[572,847,849,870],{"className":848},[635,636],[572,850,852,867],{"className":851},[640],[572,853,856],{"className":854,"style":855},[644],"height:0.1514em;",[572,857,858,861],{"style":648},[572,859],{"className":860,"style":653},[652],[572,862,864],{"className":863},[657,658,659,660],[572,865,808],{"className":866},[623,627,660],[572,868,668],{"className":869},[667],[572,871,873],{"className":872},[640],[572,874,876],{"className":875,"style":675},[644],[572,877],{},[572,879,812],{"className":880},[881],"mpunct",[572,883],{"className":884,"style":886},[885],"mspace","margin-right:0.1667em;",[572,888,815],{"className":889},[890],"minner",[572,892],{"className":893,"style":886},[885],[572,895,812],{"className":896},[881],[572,898],{"className":899,"style":886},[885],[572,901,903,906],{"className":902},[623],[572,904,805],{"className":905},[623,627],[572,907,909],{"className":908},[631],[572,910,912,932],{"className":911},[635,636],[572,913,915,929],{"className":914},[640],[572,916,918],{"className":917,"style":645},[644],[572,919,920,923],{"style":648},[572,921],{"className":922,"style":653},[652],[572,924,926],{"className":925},[657,658,659,660],[572,927,600],{"className":928},[623,660],[572,930,668],{"className":931},[667],[572,933,935],{"className":934},[640],[572,936,938],{"className":937,"style":675},[644],[572,939],{},", auch die Nullen für fehlende Potenzen.",[786,942,943],{},"Den ersten Koeffizienten nach unten in die dritte Zeile übernehmen.",[786,945,946,947,1016],{},"Die Zahl unten mit ",[572,948,950,967],{"className":949},[575],[572,951,953],{"className":952},[579],[581,954,955],{"xmlns":583},[585,956,957,965],{},[588,958,959],{},[591,960,961,963],{},[594,962,596],{},[598,964,600],{},[602,966,605],{"encoding":604},[572,968,970],{"className":969,"ariaHidden":610},[609],[572,971,973,976],{"className":972},[614],[572,974],{"className":975,"style":619},[618],[572,977,979,982],{"className":978},[623],[572,980,596],{"className":981},[623,627],[572,983,985],{"className":984},[631],[572,986,988,1008],{"className":987},[635,636],[572,989,991,1005],{"className":990},[640],[572,992,994],{"className":993,"style":645},[644],[572,995,996,999],{"style":648},[572,997],{"className":998,"style":653},[652],[572,1000,1002],{"className":1001},[657,658,659,660],[572,1003,600],{"className":1004},[623,660],[572,1006,668],{"className":1007},[667],[572,1009,1011],{"className":1010},[640],[572,1012,1014],{"className":1013,"style":675},[644],[572,1015],{}," multiplizieren, das Ergebnis in die mittlere Zeile der nächsten Spalte schreiben und nach unten addieren.",[786,1018,1019,1020,1111],{},"Schritt 3 bis zur letzten Spalte wiederholen. Die letzte Zahl unten ist ",[572,1021,1023,1050],{"className":1022},[575],[572,1024,1026],{"className":1025},[579],[581,1027,1028],{"xmlns":583},[585,1029,1030,1047],{},[588,1031,1032,1034,1038,1044],{},[594,1033,564],{},[810,1035,1037],{"stretchy":1036},"false","(",[591,1039,1040,1042],{},[594,1041,596],{},[598,1043,600],{},[810,1045,1046],{"stretchy":1036},")",[602,1048,1049],{"encoding":604},"p(x_0)",[572,1051,1053],{"className":1052,"ariaHidden":610},[609],[572,1054,1056,1060,1063,1067,1107],{"className":1055},[614],[572,1057],{"className":1058,"style":1059},[618],"height:1em;vertical-align:-0.25em;",[572,1061,564],{"className":1062},[623,627],[572,1064,1037],{"className":1065},[1066],"mopen",[572,1068,1070,1073],{"className":1069},[623],[572,1071,596],{"className":1072},[623,627],[572,1074,1076],{"className":1075},[631],[572,1077,1079,1099],{"className":1078},[635,636],[572,1080,1082,1096],{"className":1081},[640],[572,1083,1085],{"className":1084,"style":645},[644],[572,1086,1087,1090],{"style":648},[572,1088],{"className":1089,"style":653},[652],[572,1091,1093],{"className":1092},[657,658,659,660],[572,1094,600],{"className":1095},[623,660],[572,1097,668],{"className":1098},[667],[572,1100,1102],{"className":1101},[640],[572,1103,1105],{"className":1104,"style":675},[644],[572,1106],{},[572,1108,1046],{"className":1109},[1110],"mclose",".",[564,1113,1114,1115,1220,1221,1224,1225,1336,1337,1406,1407,1508],{},"Die übrigen Zahlen der unteren Zeile sind die Koeffizienten des Quotienten bei der Division durch ",[572,1116,1118,1145],{"className":1117},[575],[572,1119,1121],{"className":1120},[579],[581,1122,1123],{"xmlns":583},[585,1124,1125,1142],{},[588,1126,1127,1129,1131,1134,1140],{},[810,1128,1037],{"stretchy":1036},[594,1130,596],{},[810,1132,1133],{},"−",[591,1135,1136,1138],{},[594,1137,596],{},[598,1139,600],{},[810,1141,1046],{"stretchy":1036},[602,1143,1144],{"encoding":604},"(x - x_0)",[572,1146,1148,1171],{"className":1147,"ariaHidden":610},[609],[572,1149,1151,1154,1157,1160,1164,1168],{"className":1150},[614],[572,1152],{"className":1153,"style":1059},[618],[572,1155,1037],{"className":1156},[1066],[572,1158,596],{"className":1159},[623,627],[572,1161],{"className":1162,"style":1163},[885],"margin-right:0.2222em;",[572,1165,1133],{"className":1166},[1167],"mbin",[572,1169],{"className":1170,"style":1163},[885],[572,1172,1174,1177,1217],{"className":1173},[614],[572,1175],{"className":1176,"style":1059},[618],[572,1178,1180,1183],{"className":1179},[623],[572,1181,596],{"className":1182},[623,627],[572,1184,1186],{"className":1185},[631],[572,1187,1189,1209],{"className":1188},[635,636],[572,1190,1192,1206],{"className":1191},[640],[572,1193,1195],{"className":1194,"style":645},[644],[572,1196,1197,1200],{"style":648},[572,1198],{"className":1199,"style":653},[652],[572,1201,1203],{"className":1202},[657,658,659,660],[572,1204,600],{"className":1205},[623,660],[572,1207,668],{"className":1208},[667],[572,1210,1212],{"className":1211},[640],[572,1213,1215],{"className":1214,"style":675},[644],[572,1216],{},[572,1218,1046],{"className":1219},[1110],". Das Horner-Schema ist also eine verkürzte ",[568,1222,1223],{},"Polynomdivision",". Ist ",[572,1226,1228,1257],{"className":1227},[575],[572,1229,1231],{"className":1230},[579],[581,1232,1233],{"xmlns":583},[585,1234,1235,1254],{},[588,1236,1237,1239,1241,1247,1249,1252],{},[594,1238,564],{},[810,1240,1037],{"stretchy":1036},[591,1242,1243,1245],{},[594,1244,596],{},[598,1246,600],{},[810,1248,1046],{"stretchy":1036},[810,1250,1251],{},"=",[598,1253,600],{},[602,1255,1256],{"encoding":604},"p(x_0) = 0",[572,1258,1260,1326],{"className":1259,"ariaHidden":610},[609],[572,1261,1263,1266,1269,1272,1312,1315,1319,1323],{"className":1262},[614],[572,1264],{"className":1265,"style":1059},[618],[572,1267,564],{"className":1268},[623,627],[572,1270,1037],{"className":1271},[1066],[572,1273,1275,1278],{"className":1274},[623],[572,1276,596],{"className":1277},[623,627],[572,1279,1281],{"className":1280},[631],[572,1282,1284,1304],{"className":1283},[635,636],[572,1285,1287,1301],{"className":1286},[640],[572,1288,1290],{"className":1289,"style":645},[644],[572,1291,1292,1295],{"style":648},[572,1293],{"className":1294,"style":653},[652],[572,1296,1298],{"className":1297},[657,658,659,660],[572,1299,600],{"className":1300},[623,660],[572,1302,668],{"className":1303},[667],[572,1305,1307],{"className":1306},[640],[572,1308,1310],{"className":1309,"style":675},[644],[572,1311],{},[572,1313,1046],{"className":1314},[1110],[572,1316],{"className":1317,"style":1318},[885],"margin-right:0.2778em;",[572,1320,1251],{"className":1321},[1322],"mrel",[572,1324],{"className":1325,"style":1318},[885],[572,1327,1329,1333],{"className":1328},[614],[572,1330],{"className":1331,"style":1332},[618],"height:0.6444em;",[572,1334,600],{"className":1335},[623],", ist ",[572,1338,1340,1357],{"className":1339},[575],[572,1341,1343],{"className":1342},[579],[581,1344,1345],{"xmlns":583},[585,1346,1347,1355],{},[588,1348,1349],{},[591,1350,1351,1353],{},[594,1352,596],{},[598,1354,600],{},[602,1356,605],{"encoding":604},[572,1358,1360],{"className":1359,"ariaHidden":610},[609],[572,1361,1363,1366],{"className":1362},[614],[572,1364],{"className":1365,"style":619},[618],[572,1367,1369,1372],{"className":1368},[623],[572,1370,596],{"className":1371},[623,627],[572,1373,1375],{"className":1374},[631],[572,1376,1378,1398],{"className":1377},[635,636],[572,1379,1381,1395],{"className":1380},[640],[572,1382,1384],{"className":1383,"style":645},[644],[572,1385,1386,1389],{"style":648},[572,1387],{"className":1388,"style":653},[652],[572,1390,1392],{"className":1391},[657,658,659,660],[572,1393,600],{"className":1394},[623,660],[572,1396,668],{"className":1397},[667],[572,1399,1401],{"className":1400},[640],[572,1402,1404],{"className":1403,"style":675},[644],[572,1405],{}," eine Nullstelle, und man hat das Polynom gleich um den Faktor ",[572,1408,1410,1435],{"className":1409},[575],[572,1411,1413],{"className":1412},[579],[581,1414,1415],{"xmlns":583},[585,1416,1417,1433],{},[588,1418,1419,1421,1423,1425,1431],{},[810,1420,1037],{"stretchy":1036},[594,1422,596],{},[810,1424,1133],{},[591,1426,1427,1429],{},[594,1428,596],{},[598,1430,600],{},[810,1432,1046],{"stretchy":1036},[602,1434,1144],{"encoding":604},[572,1436,1438,1459],{"className":1437,"ariaHidden":610},[609],[572,1439,1441,1444,1447,1450,1453,1456],{"className":1440},[614],[572,1442],{"className":1443,"style":1059},[618],[572,1445,1037],{"className":1446},[1066],[572,1448,596],{"className":1449},[623,627],[572,1451],{"className":1452,"style":1163},[885],[572,1454,1133],{"className":1455},[1167],[572,1457],{"className":1458,"style":1163},[885],[572,1460,1462,1465,1505],{"className":1461},[614],[572,1463],{"className":1464,"style":1059},[618],[572,1466,1468,1471],{"className":1467},[623],[572,1469,596],{"className":1470},[623,627],[572,1472,1474],{"className":1473},[631],[572,1475,1477,1497],{"className":1476},[635,636],[572,1478,1480,1494],{"className":1479},[640],[572,1481,1483],{"className":1482,"style":645},[644],[572,1484,1485,1488],{"style":648},[572,1486],{"className":1487,"style":653},[652],[572,1489,1491],{"className":1490},[657,658,659,660],[572,1492,600],{"className":1493},[623,660],[572,1495,668],{"className":1496},[667],[572,1498,1500],{"className":1499},[640],[572,1501,1503],{"className":1502,"style":675},[644],[572,1504],{},[572,1506,1046],{"className":1507},[1110]," reduziert.",[559,1510,1512],{"id":1511},"beispiele","Beispiele",[564,1514,1515,1732,1733,1825],{},[572,1516,1518,1574],{"className":1517},[575],[572,1519,1521],{"className":1520},[579],[581,1522,1523],{"xmlns":583},[585,1524,1525,1571],{},[588,1526,1527,1529,1531,1533,1535,1537,1540,1548,1550,1552,1558,1561,1564,1566,1568],{},[594,1528,564],{},[810,1530,1037],{"stretchy":1036},[594,1532,596],{},[810,1534,1046],{"stretchy":1036},[810,1536,1251],{},[598,1538,1539],{},"2",[1541,1542,1543,1545],"msup",{},[594,1544,596],{},[598,1546,1547],{},"3",[810,1549,1133],{},[598,1551,1547],{},[1541,1553,1554,1556],{},[594,1555,596],{},[598,1557,1539],{},[810,1559,1560],{},"+",[598,1562,1563],{},"4",[594,1565,596],{},[810,1567,1133],{},[598,1569,1570],{},"5",[602,1572,1573],{"encoding":604},"p(x) = 2x^3 - 3x^2 + 4x - 5",[572,1575,1577,1604,1654,1701,1723],{"className":1576,"ariaHidden":610},[609],[572,1578,1580,1583,1586,1589,1592,1595,1598,1601],{"className":1579},[614],[572,1581],{"className":1582,"style":1059},[618],[572,1584,564],{"className":1585},[623,627],[572,1587,1037],{"className":1588},[1066],[572,1590,596],{"className":1591},[623,627],[572,1593,1046],{"className":1594},[1110],[572,1596],{"className":1597,"style":1318},[885],[572,1599,1251],{"className":1600},[1322],[572,1602],{"className":1603,"style":1318},[885],[572,1605,1607,1611,1614,1645,1648,1651],{"className":1606},[614],[572,1608],{"className":1609,"style":1610},[618],"height:0.8974em;vertical-align:-0.0833em;",[572,1612,1539],{"className":1613},[623],[572,1615,1617,1620],{"className":1616},[623],[572,1618,596],{"className":1619},[623,627],[572,1621,1623],{"className":1622},[631],[572,1624,1626],{"className":1625},[635],[572,1627,1629],{"className":1628},[640],[572,1630,1633],{"className":1631,"style":1632},[644],"height:0.8141em;",[572,1634,1636,1639],{"style":1635},"top:-3.063em;margin-right:0.05em;",[572,1637],{"className":1638,"style":653},[652],[572,1640,1642],{"className":1641},[657,658,659,660],[572,1643,1547],{"className":1644},[623,660],[572,1646],{"className":1647,"style":1163},[885],[572,1649,1133],{"className":1650},[1167],[572,1652],{"className":1653,"style":1163},[885],[572,1655,1657,1660,1663,1692,1695,1698],{"className":1656},[614],[572,1658],{"className":1659,"style":1610},[618],[572,1661,1547],{"className":1662},[623],[572,1664,1666,1669],{"className":1665},[623],[572,1667,596],{"className":1668},[623,627],[572,1670,1672],{"className":1671},[631],[572,1673,1675],{"className":1674},[635],[572,1676,1678],{"className":1677},[640],[572,1679,1681],{"className":1680,"style":1632},[644],[572,1682,1683,1686],{"style":1635},[572,1684],{"className":1685,"style":653},[652],[572,1687,1689],{"className":1688},[657,658,659,660],[572,1690,1539],{"className":1691},[623,660],[572,1693],{"className":1694,"style":1163},[885],[572,1696,1560],{"className":1697},[1167],[572,1699],{"className":1700,"style":1163},[885],[572,1702,1704,1708,1711,1714,1717,1720],{"className":1703},[614],[572,1705],{"className":1706,"style":1707},[618],"height:0.7278em;vertical-align:-0.0833em;",[572,1709,1563],{"className":1710},[623],[572,1712,596],{"className":1713},[623,627],[572,1715],{"className":1716,"style":1163},[885],[572,1718,1133],{"className":1719},[1167],[572,1721],{"className":1722,"style":1163},[885],[572,1724,1726,1729],{"className":1725},[614],[572,1727],{"className":1728,"style":1332},[618],[572,1730,1570],{"className":1731},[623]," an der Stelle ",[572,1734,1736,1758],{"className":1735},[575],[572,1737,1739],{"className":1738},[579],[581,1740,1741],{"xmlns":583},[585,1742,1743,1755],{},[588,1744,1745,1751,1753],{},[591,1746,1747,1749],{},[594,1748,596],{},[598,1750,600],{},[810,1752,1251],{},[598,1754,1539],{},[602,1756,1757],{"encoding":604},"x_0 = 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107,2108,2112],{},[588,2109,2110],{},[598,2111,1563],{},[602,2113,1563],{"encoding":604},[572,2115,2117],{"className":2116,"ariaHidden":610},[609],[572,2118,2120,2123],{"className":2119},[614],[572,2121],{"className":2122,"style":1332},[618],[572,2124,1563],{"className":2125},[623],[2027,2127,2128],{},[572,2129,2131,2147],{"className":2130},[575],[572,2132,2134],{"className":2133},[579],[581,2135,2136],{"xmlns":583},[585,2137,2138,2144],{},[588,2139,2140,2142],{},[810,2141,1133],{},[598,2143,1570],{},[602,2145,2146],{"encoding":604},"-5",[572,2148,2150],{"className":2149,"ariaHidden":610},[609],[572,2151,2153,2156,2159],{"className":2152},[614],[572,2154],{"className":2155,"style":1707},[618],[572,2157,1133],{"className":2158},[623],[572,2160,1570],{"className":2161},[623],[1833,2163,2164,2201,2203,2233,2263],{},[2027,2165,2166],{},[572,2167,2169,2186],{"className":2168},[575],[572,2170,2172],{"className":2171},[579],[581,2173,2174],{"xmlns":583},[585,2175,2176,2183],{},[588,2177,2178,2181],{},[810,2179,2180],{},"⋅",[598,2182,1539],{},[602,2184,2185],{"encoding":604},"\\cdot 2",[572,2187,2189],{"className":2188,"ariaHidden":610},[609],[572,2190,2192,2195,2198],{"className":2191},[614],[572,2193],{"className":2194,"style":1332},[618],[572,2196,2180],{"className":2197},[623],[572,2199,1539],{"className":2200},[623],[2027,2202],{},[2027,2204,2205],{},[572,2206,2208,2221],{"className":2207},[575],[572,2209,2211],{"className":2210},[579],[581,2212,2213],{"xmlns":583},[585,2214,2215,2219],{},[588,2216,2217],{},[598,2218,1563],{},[602,2220,1563],{"encoding":604},[572,2222,2224],{"className":2223,"ariaHidden":610},[609],[572,2225,2227,2230],{"className":2226},[614],[572,2228],{"className":2229,"style":1332},[618],[572,2231,1563],{"className":2232},[623],[2027,2234,2235],{},[572,2236,2238,2251],{"className":2237},[575],[572,2239,2241],{"className":2240},[579],[581,2242,2243],{"xmlns":583},[585,2244,2245,2249],{},[588,2246,2247],{},[598,2248,1539],{},[602,2250,1539],{"encoding":604},[572,2252,2254],{"className":2253,"ariaHidden":610},[609],[572,2255,2257,2260],{"className":2256},[614],[572,2258],{"className":2259,"style":1332},[618],[572,2261,1539],{"className":2262},[623],[2027,2264,2265],{},[572,2266,2268,2282],{"className":2267},[575],[572,2269,2271],{"className":2270},[579],[581,2272,2273],{"xmlns":583},[585,2274,2275,2280],{},[588,2276,2277],{},[598,2278,2279],{},"12",[602,2281,2279],{"encoding":604},[572,2283,2285],{"className":2284,"ariaHidden":610},[609],[572,2286,2288,2291],{"className":2287},[614],[572,2289],{"className":2290,"style":1332},[618],[572,2292,2279],{"className":2293},[623],[1833,2295,2296,2299,2329,2359,2390],{},[2027,2297,2298],{},"Summe",[2027,2300,2301],{},[572,2302,2304,2317],{"className":2303},[575],[572,2305,2307],{"className":2306},[579],[581,2308,2309],{"xmlns":583},[585,2310,2311,2315],{},[588,2312,2313],{},[598,2314,1539],{},[602,2316,1539],{"encoding":604},[572,2318,2320],{"className":2319,"ariaHidden":610},[609],[572,2321,2323,2326],{"className":2322},[614],[572,2324],{"className":2325,"style":1332},[618],[572,2327,1539],{"className":2328},[623],[2027,2330,2331],{},[572,2332,2334,2347],{"className":2333},[575],[572,2335,2337],{"className":2336},[579],[581,2338,2339],{"xmlns":583},[585,2340,2341,2345],{},[588,2342,2343],{},[598,2344,2006],{},[602,2346,2006],{"encoding":604},[572,2348,2350],{"className":2349,"ariaHidden":610},[609],[572,2351,2353,2356],{"className":2352},[614],[572,2354],{"className":2355,"style":1332},[618],[572,2357,2006],{"className":2358},[623],[2027,2360,2361],{},[572,2362,2364,2378],{"className":2363},[575],[572,2365,2367],{"className":2366},[579],[581,2368,2369],{"xmlns":583},[585,2370,2371,2376],{},[588,2372,2373],{},[598,2374,2375],{},"6",[602,2377,2375],{"encoding":604},[572,2379,2381],{"className":2380,"ariaHidden":610},[609],[572,2382,2384,2387],{"className":2383},[614],[572,2385],{"className":2386,"style":1332},[618],[572,2388,2375],{"className":2389},[623],[2027,2391,2392],{},[572,2393,2395,2409],{"className":2394},[575],[572,2396,2398],{"className":2397},[579],[581,2399,2400],{"xmlns":583},[585,2401,2402,2407],{},[588,2403,2404],{},[598,2405,2406],{},"7",[602,2408,2406],{"encoding":604},[572,2410,2412],{"className":2411,"ariaHidden":610},[609],[572,2413,2415,2418],{"className":2414},[614],[572,2416],{"className":2417,"style":1332},[618],[572,2419,2406],{"className":2420},[623],[564,2422,2423,2424,2490,2491,2675],{},"Also ",[572,2425,2427,2451],{"className":2426},[575],[572,2428,2430],{"className":2429},[579],[581,2431,2432],{"xmlns":583},[585,2433,2434,2448],{},[588,2435,2436,2438,2440,2442,2444,2446],{},[594,2437,564],{},[810,2439,1037],{"stretchy":1036},[598,2441,1539],{},[810,2443,1046],{"stretchy":1036},[810,2445,1251],{},[598,2447,2406],{},[602,2449,2450],{"encoding":604},"p(2) = 7",[572,2452,2454,2481],{"className":2453,"ariaHidden":610},[609],[572,2455,2457,2460,2463,2466,2469,2472,2475,2478],{"className":2456},[614],[572,2458],{"className":2459,"style":1059},[618],[572,2461,564],{"className":2462},[623,627],[572,2464,1037],{"className":2465},[1066],[572,2467,1539],{"className":2468},[623],[572,2470,1046],{"className":2471},[1110],[572,2473],{"className":2474,"style":1318},[885],[572,2476,1251],{"className":2477},[1322],[572,2479],{"className":2480,"style":1318},[885],[572,2482,2484,2487],{"className":2483},[614],[572,2485],{"className":2486,"style":1332},[618],[572,2488,2406],{"className":2489},[623],", zur Kontrolle: ",[572,2492,2494,2537],{"className":2493},[575],[572,2495,2497],{"className":2496},[579],[581,2498,2499],{"xmlns":583},[585,2500,2501,2534],{},[588,2502,2503,2505,2507,2510,2512,2514,2516,2518,2520,2522,2524,2526,2528,2530,2532],{},[598,2504,1539],{},[810,2506,2180],{},[598,2508,2509],{},"8",[810,2511,1133],{},[598,2513,1547],{},[810,2515,2180],{},[598,2517,1563],{},[810,2519,1560],{},[598,2521,1563],{},[810,2523,2180],{},[598,2525,1539],{},[810,2527,1133],{},[598,2529,1570],{},[810,2531,1251],{},[598,2533,2406],{},[602,2535,2536],{"encoding":604},"2 \\cdot 8 - 3 \\cdot 4 + 4 \\cdot 2 - 5 = 7",[572,2538,2540,2558,2576,2594,2612,2630,2648,2666],{"className":2539,"ariaHidden":610},[609],[572,2541,2543,2546,2549,2552,2555],{"className":2542},[614],[572,2544],{"className":2545,"style":1332},[618],[572,2547,1539],{"className":2548},[623],[572,2550],{"className":2551,"style":1163},[885],[572,2553,2180],{"className":2554},[1167],[572,2556],{"className":2557,"style":1163},[885],[572,2559,2561,2564,2567,2570,2573],{"className":2560},[614],[572,2562],{"className":2563,"style":1707},[618],[572,2565,2509],{"className":2566},[623],[572,2568],{"className":2569,"style":1163},[885],[572,2571,1133],{"className":2572},[1167],[572,2574],{"className":2575,"style":1163},[885],[572,2577,2579,2582,2585,2588,2591],{"className":2578},[614],[572,2580],{"className":2581,"style":1332},[618],[572,2583,1547],{"className":2584},[623],[572,2586],{"className":2587,"style":1163},[885],[572,2589,2180],{"className":2590},[1167],[572,2592],{"className":2593,"style":1163},[885],[572,2595,2597,2600,2603,2606,2609],{"className":2596},[614],[572,2598],{"className":2599,"style":1707},[618],[572,2601,1563],{"className":2602},[623],[572,2604],{"className":2605,"style":1163},[885],[572,2607,1560],{"className":2608},[1167],[572,2610],{"className":2611,"style":1163},[885],[572,2613,2615,2618,2621,2624,2627],{"className":2614},[614],[572,2616],{"className":2617,"style":1332},[618],[572,2619,1563],{"className":2620},[623],[572,2622],{"className":2623,"style":1163},[885],[572,2625,2180],{"className":2626},[1167],[572,2628],{"className":2629,"style":1163},[885],[572,2631,2633,2636,2639,2642,2645],{"className":2632},[614],[572,2634],{"className":2635,"style":1707},[618],[572,2637,1539],{"className":2638},[623],[572,2640],{"className":2641,"style":1163},[885],[572,2643,1133],{"className":2644},[1167],[572,2646],{"className":2647,"style":1163},[885],[572,2649,2651,2654,2657,2660,2663],{"className":2650},[614],[572,2652],{"className":2653,"style":1332},[618],[572,2655,1570],{"className":2656},[623],[572,2658],{"className":2659,"style":1318},[885],[572,2661,1251],{"className":2662},[1322],[572,2664],{"className":2665,"style":1318},[885],[572,2667,2669,2672],{"className":2668},[614],[572,2670],{"className":2671,"style":1332},[618],[572,2673,2406],{"className":2674},[623],". Außerdem gilt",[572,2677,2680],{"className":2678},[2679],"katex-display",[572,2681,2683,2760],{"className":2682},[575],[572,2684,2686],{"className":2685},[579],[581,2687,2689],{"xmlns":583,"display":2688},"block",[585,2690,2691,2757],{},[588,2692,2693,2695,2701,2703,2705,2711,2713,2715,2717,2719,2721,2723,2725,2727,2729,2731,2733,2735,2737,2743,2745,2747,2749,2751,2753,2755],{},[598,2694,1539],{},[1541,2696,2697,2699],{},[594,2698,596],{},[598,2700,1547],{},[810,2702,1133],{},[598,2704,1547],{},[1541,2706,2707,2709],{},[594,2708,596],{},[598,2710,1539],{},[810,2712,1560],{},[598,2714,1563],{},[594,2716,596],{},[810,2718,1133],{},[598,2720,1570],{},[810,2722,1251],{},[810,2724,1037],{"stretchy":1036},[594,2726,596],{},[810,2728,1133],{},[598,2730,1539],{},[810,2732,1046],{"stretchy":1036},[810,2734,1037],{"stretchy":1036},[598,2736,1539],{},[1541,2738,2739,2741],{},[594,2740,596],{},[598,2742,1539],{},[810,2744,1560],{},[594,2746,596],{},[810,2748,1560],{},[598,2750,2375],{},[810,2752,1046],{"stretchy":1036},[810,2754,1560],{},[598,2756,2406],{},[602,2758,2759],{"encoding":604},"2x^3 - 3x^2 + 4x - 5 = (x - 2)(2x^2 + x + 6) + 7",[572,2761,2763,2813,2860,2881,2899,2920,2977,2996,3017],{"className":2762,"ariaHidden":610},[609],[572,2764,2766,2770,2773,2804,2807,2810],{"className":2765},[614],[572,2767],{"className":2768,"style":2769},[618],"height:0.9474em;vertical-align:-0.0833em;",[572,2771,1539],{"className":2772},[623],[572,2774,2776,2779],{"className":2775},[623],[572,2777,596],{"className":2778},[623,627],[572,2780,2782],{"className":2781},[631],[572,2783,2785],{"className":2784},[635],[572,2786,2788],{"className":2787},[640],[572,2789,2792],{"className":2790,"style":2791},[644],"height:0.8641em;",[572,2793,2795,2798],{"style":2794},"top:-3.113em;margin-right:0.05em;",[572,2796],{"className":2797,"style":653},[652],[572,2799,2801],{"className":2800},[657,658,659,660],[572,2802,1547],{"className":2803},[623,660],[572,2805],{"className":2806,"style":1163},[885],[572,2808,1133],{"className":2809},[1167],[572,2811],{"className":2812,"style":1163},[885],[572,2814,2816,2819,2822,2851,2854,2857],{"className":2815},[614],[572,2817],{"className":2818,"style":2769},[618],[572,2820,1547],{"className":2821},[623],[572,2823,2825,2828],{"className":2824},[623],[572,2826,596],{"className":2827},[623,627],[572,2829,2831],{"className":2830},[631],[572,2832,2834],{"className":2833},[635],[572,2835,2837],{"className":2836},[640],[572,2838,2840],{"className":2839,"style":2791},[644],[572,2841,2842,2845],{"style":2794},[572,2843],{"className":2844,"style":653},[652],[572,2846,2848],{"className":2847},[657,658,659,660],[572,2849,1539],{"className":2850},[623,660],[572,2852],{"className":2853,"style":1163},[885],[572,2855,1560],{"className":2856},[1167],[572,2858],{"className":2859,"style":1163},[885],[572,2861,2863,2866,2869,2872,2875,2878],{"className":2862},[614],[572,2864],{"className":2865,"style":1707},[618],[572,2867,1563],{"className":2868},[623],[572,2870,596],{"className":2871},[623,627],[572,2873],{"className":2874,"style":1163},[885],[572,2876,1133],{"className":2877},[1167],[572,2879],{"className":2880,"style":1163},[885],[572,2882,2884,2887,2890,2893,2896],{"className":2883},[614],[572,2885],{"className":2886,"style":1332},[618],[572,2888,1570],{"className":2889},[623],[572,2891],{"className":2892,"style":1318},[885],[572,2894,1251],{"className":2895},[1322],[572,2897],{"className":2898,"style":1318},[885],[572,2900,2902,2905,2908,2911,2914,2917],{"className":2901},[614],[572,2903],{"className":2904,"style":1059},[618],[572,2906,1037],{"className":2907},[1066],[572,2909,596],{"className":2910},[623,627],[572,2912],{"className":2913,"style":1163},[885],[572,2915,1133],{"className":2916},[1167],[572,2918],{"className":2919,"style":1163},[885],[572,2921,2923,2927,2930,2933,2936,2939,2968,2971,2974],{"className":2922},[614],[572,2924],{"className":2925,"style":2926},[618],"height:1.1141em;vertical-align:-0.25em;",[572,2928,1539],{"className":2929},[623],[572,2931,1046],{"className":2932},[1110],[572,2934,1037],{"className":2935},[1066],[572,2937,1539],{"className":2938},[623],[572,2940,2942,2945],{"className":2941},[623],[572,2943,596],{"className":2944},[623,627],[572,2946,2948],{"className":2947},[631],[572,2949,2951],{"className":2950},[635],[572,2952,2954],{"className":2953},[640],[572,2955,2957],{"className":2956,"style":2791},[644],[572,2958,2959,2962],{"style":2794},[572,2960],{"className":2961,"style":653},[652],[572,2963,2965],{"className":2964},[657,658,659,660],[572,2966,1539],{"className":2967},[623,660],[572,2969],{"className":2970,"style":1163},[885],[572,2972,1560],{"className":2973},[1167],[572,2975],{"className":2976,"style":1163},[885],[572,2978,2980,2984,2987,2990,2993],{"className":2979},[614],[572,2981],{"className":2982,"style":2983},[618],"height:0.6667em;vertical-align:-0.0833em;",[572,2985,596],{"className":2986},[623,627],[572,2988],{"className":2989,"style":1163},[885],[572,2991,1560],{"className":2992},[1167],[572,2994],{"className":2995,"style":1163},[885],[572,2997,2999,3002,3005,3008,3011,3014],{"className":2998},[614],[572,3000],{"className":3001,"style":1059},[618],[572,3003,2375],{"className":3004},[623],[572,3006,1046],{"className":3007},[1110],[572,3009],{"className":3010,"style":1163},[885],[572,3012,1560],{"className":3013},[1167],[572,3015],{"className":3016,"style":1163},[885],[572,3018,3020,3023],{"className":3019},[614],[572,3021],{"className":3022,"style":1332},[618],[572,3024,2406],{"className":3025},[623],[564,3027,3028,1732,3230,3322,3323,3402,3403,3431,3432,3460],{},[572,3029,3031,3079],{"className":3030},[575],[572,3032,3034],{"className":3033},[579],[581,3035,3036],{"xmlns":583},[585,3037,3038,3076],{},[588,3039,3040,3042,3044,3046,3048,3050,3056,3058,3060,3066,3068,3070,3072,3074],{},[594,3041,564],{},[810,3043,1037],{"stretchy":1036},[594,3045,596],{},[810,3047,1046],{"stretchy":1036},[810,3049,1251],{},[1541,3051,3052,3054],{},[594,3053,596],{},[598,3055,1547],{},[810,3057,1133],{},[598,3059,1539],{},[1541,3061,3062,3064],{},[594,3063,596],{},[598,3065,1539],{},[810,3067,1133],{},[598,3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= x^3 - 2x^2 - 5x + 6",[572,3080,3082,3109,3153,3200,3221],{"className":3081,"ariaHidden":610},[609],[572,3083,3085,3088,3091,3094,3097,3100,3103,3106],{"className":3084},[614],[572,3086],{"className":3087,"style":1059},[618],[572,3089,564],{"className":3090},[623,627],[572,3092,1037],{"className":3093},[1066],[572,3095,596],{"className":3096},[623,627],[572,3098,1046],{"className":3099},[1110],[572,3101],{"className":3102,"style":1318},[885],[572,3104,1251],{"className":3105},[1322],[572,3107],{"className":3108,"style":1318},[885],[572,3110,3112,3115,3144,3147,3150],{"className":3111},[614],[572,3113],{"className":3114,"style":1610},[618],[572,3116,3118,3121],{"className":3117},[623],[572,3119,596],{"className":3120},[623,627],[572,3122,3124],{"className":3123},[631],[572,3125,3127],{"className":3126},[635],[572,3128,3130],{"className":3129},[640],[572,3131,3133],{"className":3132,"style":1632},[644],[572,3134,3135,3138],{"style":1635},[572,3136],{"className":3137,"style":653},[652],[572,3139,3141],{"className":3140},[657,658,659,660],[572,3142,1547],{"className":3143},[623,660],[572,3145],{"className":3146,"style":1163},[885],[572,3148,1133],{"className":3149},[1167],[572,3151],{"className":3152,"style":1163},[885],[572,3154,3156,3159,3162,3191,3194,3197],{"className":3155},[614],[572,3157],{"className":3158,"style":1610},[618],[572,3160,1539],{"className":3161},[623],[572,3163,3165,3168],{"className":3164},[623],[572,3166,596],{"className":3167},[623,627],[572,3169,3171],{"className":3170},[631],[572,3172,3174],{"className":3173},[635],[572,3175,3177],{"className":3176},[640],[572,3178,3180],{"className":3179,"style":1632},[644],[572,3181,3182,3185],{"style":1635},[572,3183],{"className":3184,"style":653},[652],[572,3186,3188],{"className":3187},[657,658,659,660],[572,3189,1539],{"className":3190},[623,660],[572,3192],{"className":3193,"style":1163},[885],[572,3195,1133],{"className":3196},[1167],[572,3198],{"className":3199,"style":1163},[885],[572,3201,3203,3206,3209,3212,3215,3218],{"className":3202},[614],[572,3204],{"className":3205,"style":1707},[618],[572,3207,1570],{"className":3208},[623],[572,3210,596],{"className":3211},[623,627],[572,3213],{"className":3214,"style":1163},[885],[572,3216,1560],{"className":3217},[1167],[572,3219],{"className":3220,"style":1163},[885],[572,3222,3224,3227],{"className":3223},[614],[572,3225],{"className":3226,"style":1332},[618],[572,3228,2375],{"className":3229},[623],[572,3231,3233,3255],{"className":3232},[575],[572,3234,3236],{"className":3235},[579],[581,3237,3238],{"xmlns":583},[585,3239,3240,3252],{},[588,3241,3242,3248,3250],{},[591,3243,3244,3246],{},[594,3245,596],{},[598,3247,600],{},[810,3249,1251],{},[598,3251,2006],{},[602,3253,3254],{"encoding":604},"x_0 = 1",[572,3256,3258,3313],{"className":3257,"ariaHidden":610},[609],[572,3259,3261,3264,3304,3307,3310],{"className":3260},[614],[572,3262],{"className":3263,"style":619},[618],[572,3265,3267,3270],{"className":3266},[623],[572,3268,596],{"className":3269},[623,627],[572,3271,3273],{"className":3272},[631],[572,3274,3276,3296],{"className":3275},[635,636],[572,3277,3279,3293],{"className":3278},[640],[572,3280,3282],{"className":3281,"style":645},[644],[572,3283,3284,3287],{"style":648},[572,3285],{"className":3286,"style":653},[652],[572,3288,3290],{"className":3289},[657,658,659,660],[572,3291,600],{"className":3292},[623,660],[572,3294,668],{"className":3295},[667],[572,3297,3299],{"className":3298},[640],[572,3300,3302],{"className":3301,"style":675},[644],[572,3303],{},[572,3305],{"className":3306,"style":1318},[885],[572,3308,1251],{"className":3309},[1322],[572,3311],{"className":3312,"style":1318},[885],[572,3314,3316,3319],{"className":3315},[614],[572,3317],{"className":3318,"style":1332},[618],[572,3320,2006],{"className":3321},[623],": Die untere Zeile lautet ",[572,3324,3326,3356],{"className":3325},[575],[572,3327,3329],{"className":3328},[579],[581,3330,3331],{"xmlns":583},[585,3332,3333,3353],{},[588,3334,3335,3337,3339,3341,3343,3345,3347,3349,3351],{},[598,3336,2006],{},[810,3338,812],{"separator":610},[810,3340,1133],{},[598,3342,2006],{},[810,3344,812],{"separator":610},[810,3346,1133],{},[598,3348,2375],{},[810,3350,812],{"separator":610},[598,3352,600],{},[602,3354,3355],{"encoding":604},"1, -1, -6, 0",[572,3357,3359],{"className":3358,"ariaHidden":610},[609],[572,3360,3362,3366,3369,3372,3375,3378,3381,3384,3387,3390,3393,3396,3399],{"className":3361},[614],[572,3363],{"className":3364,"style":3365},[618],"height:0.8389em;vertical-align:-0.1944em;",[572,3367,2006],{"className":3368},[623],[572,3370,812],{"className":3371},[881],[572,3373],{"className":3374,"style":886},[885],[572,3376,1133],{"className":3377},[623],[572,3379,2006],{"className":3380},[623],[572,3382,812],{"className":3383},[881],[572,3385],{"className":3386,"style":886},[885],[572,3388,1133],{"className":3389},[623],[572,3391,2375],{"className":3392},[623],[572,3394,812],{"className":3395},[881],[572,3397],{"className":3398,"style":886},[885],[572,3400,600],{"className":3401},[623],". Der Rest ist ",[572,3404,3406,3419],{"className":3405},[575],[572,3407,3409],{"className":3408},[579],[581,3410,3411],{"xmlns":583},[585,3412,3413,3417],{},[588,3414,3415],{},[598,3416,600],{},[602,3418,600],{"encoding":604},[572,3420,3422],{"className":3421,"ariaHidden":610},[609],[572,3423,3425,3428],{"className":3424},[614],[572,3426],{"className":3427,"style":1332},[618],[572,3429,600],{"className":3430},[623],", also ist ",[572,3433,3435,3448],{"className":3434},[575],[572,3436,3438],{"className":3437},[579],[581,3439,3440],{"xmlns":583},[585,3441,3442,3446],{},[588,3443,3444],{},[598,3445,2006],{},[602,3447,2006],{"encoding":604},[572,3449,3451],{"className":3450,"ariaHidden":610},[609],[572,3452,3454,3457],{"className":3453},[614],[572,3455],{"className":3456,"style":1332},[618],[572,3458,2006],{"className":3459},[623]," eine Nullstelle, und",[572,3462,3464],{"className":3463},[2679],[572,3465,3467,3535],{"className":3466},[575],[572,3468,3470],{"className":3469},[579],[581,3471,3472],{"xmlns":583,"display":2688},[585,3473,3474,3532],{},[588,3475,3476,3482,3484,3486,3492,3494,3496,3498,3500,3502,3504,3506,3508,3510,3512,3514,3516,3522,3524,3526,3528,3530],{},[1541,3477,3478,3480],{},[594,3479,596],{},[598,3481,1547],{},[810,3483,1133],{},[598,3485,1539],{},[1541,3487,3488,3490],{},[594,3489,596],{},[598,3491,1539],{},[810,3493,1133],{},[598,3495,1570],{},[594,3497,596],{},[810,3499,1560],{},[598,3501,2375],{},[810,3503,1251],{},[810,3505,1037],{"stretchy":1036},[594,3507,596],{},[810,3509,1133],{},[598,3511,2006],{},[810,3513,1046],{"stretchy":1036},[810,3515,1037],{"stretchy":1036},[1541,3517,3518,3520],{},[594,3519,596],{},[598,3521,1539],{},[810,3523,1133],{},[594,3525,596],{},[810,3527,1133],{},[598,3529,2375],{},[810,3531,1046],{"stretchy":1036},[602,3533,3534],{"encoding":604},"x^3 - 2x^2 - 5x + 6 = (x - 1)(x^2 - x - 6)",[572,3536,3538,3582,3629,3650,3668,3689,3742,3760],{"className":3537,"ariaHidden":610},[609],[572,3539,3541,3544,3573,3576,3579],{"className":3540},[614],[572,3542],{"className":3543,"style":2769},[618],[572,3545,3547,3550],{"className":3546},[623],[572,3548,596],{"className":3549},[623,627],[572,3551,3553],{"className":3552},[631],[572,3554,3556],{"className":3555},[635],[572,3557,3559],{"className":3558},[640],[572,3560,3562],{"className":3561,"style":2791},[644],[572,3563,3564,3567],{"style":2794},[572,3565],{"className":3566,"style":653},[652],[572,3568,3570],{"className":3569},[657,658,659,660],[572,3571,1547],{"className":3572},[623,660],[572,3574],{"className":3575,"style":1163},[885],[572,3577,1133],{"className":3578},[1167],[572,3580],{"className":3581,"style":1163},[885],[572,3583,3585,3588,3591,3620,3623,3626],{"className":3584},[614],[572,3586],{"className":3587,"style":2769},[618],[572,3589,1539],{"className":3590},[623],[572,3592,3594,3597],{"className":3593},[623],[572,3595,596],{"className":3596},[623,627],[572,3598,3600],{"className":3599},[631],[572,3601,3603],{"className":3602},[635],[572,3604,3606],{"className":3605},[640],[572,3607,3609],{"className":3608,"style":2791},[644],[572,3610,3611,3614],{"style":2794},[572,3612],{"className":3613,"style":653},[652],[572,3615,3617],{"className":3616},[657,658,659,660],[572,3618,1539],{"className":3619},[623,660],[572,3621],{"className":3622,"style":1163},[885],[572,3624,1133],{"className":3625},[1167],[572,3627],{"className":3628,"style":1163},[885],[572,3630,3632,3635,3638,3641,3644,3647],{"className":3631},[614],[572,3633],{"className":3634,"style":1707},[618],[572,3636,1570],{"className":3637},[623],[572,3639,596],{"className":3640},[623,627],[572,3642],{"className":3643,"style":1163},[885],[572,3645,1560],{"className":3646},[1167],[572,3648],{"className":3649,"style":1163},[885],[572,3651,3653,3656,3659,3662,3665],{"className":3652},[614],[572,3654],{"className":3655,"style":1332},[618],[572,3657,2375],{"className":3658},[623],[572,3660],{"className":3661,"style":1318},[885],[572,3663,1251],{"className":3664},[1322],[572,3666],{"className":3667,"style":1318},[885],[572,3669,3671,3674,3677,3680,3683,3686],{"className":3670},[614],[572,3672],{"className":3673,"style":1059},[618],[572,3675,1037],{"className":3676},[1066],[572,3678,596],{"className":3679},[623,627],[572,3681],{"className":3682,"style":1163},[885],[572,3684,1133],{"className":3685},[1167],[572,3687],{"className":3688,"style":1163},[885],[572,3690,3692,3695,3698,3701,3704,3733,3736,3739],{"className":3691},[614],[572,3693],{"className":3694,"style":2926},[618],[572,3696,2006],{"className":3697},[623],[572,3699,1046],{"className":3700},[1110],[572,3702,1037],{"className":3703},[1066],[572,3705,3707,3710],{"className":3706},[623],[572,3708,596],{"className":3709},[623,627],[572,3711,3713],{"className":3712},[631],[572,3714,3716],{"className":3715},[635],[572,3717,3719],{"className":3718},[640],[572,3720,3722],{"className":3721,"style":2791},[644],[572,3723,3724,3727],{"style":2794},[572,3725],{"className":3726,"style":653},[652],[572,3728,3730],{"className":3729},[657,658,659,660],[572,3731,1539],{"className":3732},[623,660],[572,3734],{"className":3735,"style":1163},[885],[572,3737,1133],{"className":3738},[1167],[572,3740],{"className":3741,"style":1163},[885],[572,3743,3745,3748,3751,3754,3757],{"className":3744},[614],[572,3746],{"className":3747,"style":2983},[618],[572,3749,596],{"className":3750},[623,627],[572,3752],{"className":3753,"style":1163},[885],[572,3755,1133],{"className":3756},[1167],[572,3758],{"className":3759,"style":1163},[885],[572,3761,3763,3766,3769],{"className":3762},[614],[572,3764],{"className":3765,"style":1059},[618],[572,3767,2375],{"className":3768},[623],[572,3770,1046],{"className":3771},[1110],[564,3773,3774,3775,3950,3951,4037,4038,4135,4136,4227,4228,1111],{},"Mit fehlenden Potenzen: ",[572,3776,3778,3820],{"className":3777},[575],[572,3779,3781],{"className":3780},[579],[581,3782,3783],{"xmlns":583},[585,3784,3785,3817],{},[588,3786,3787,3789,3791,3793,3795,3797,3803,3805,3807,3813,3815],{},[594,3788,564],{},[810,3790,1037],{"stretchy":1036},[594,3792,596],{},[810,3794,1046],{"stretchy":1036},[810,3796,1251],{},[1541,3798,3799,3801],{},[594,3800,596],{},[598,3802,1563],{},[810,3804,1133],{},[598,3806,1547],{},[1541,3808,3809,3811],{},[594,3810,596],{},[598,3812,1539],{},[810,3814,1560],{},[598,3816,1539],{},[602,3818,3819],{"encoding":604},"p(x) = x^4 - 3x^2 + 2",[572,3821,3823,3850,3894,3941],{"className":3822,"ariaHidden":610},[609],[572,3824,3826,3829,3832,3835,3838,3841,3844,3847],{"className":3825},[614],[572,3827],{"className":3828,"style":1059},[618],[572,3830,564],{"className":3831},[623,627],[572,3833,1037],{"className":3834},[1066],[572,3836,596],{"className":3837},[623,627],[572,3839,1046],{"className":3840},[1110],[572,3842],{"className":3843,"style":1318},[885],[572,3845,1251],{"className":3846},[1322],[572,3848],{"className":3849,"style":1318},[885],[572,3851,3853,3856,3885,3888,3891],{"className":3852},[614],[572,3854],{"className":3855,"style":1610},[618],[572,3857,3859,3862],{"className":3858},[623],[572,3860,596],{"className":3861},[623,627],[572,3863,3865],{"className":3864},[631],[572,3866,3868],{"className":3867},[635],[572,3869,3871],{"className":3870},[640],[572,3872,3874],{"className":3873,"style":1632},[644],[572,3875,3876,3879],{"style":1635},[572,3877],{"className":3878,"style":653},[652],[572,3880,3882],{"className":3881},[657,658,659,660],[572,3883,1563],{"className":3884},[623,660],[572,3886],{"className":3887,"style":1163},[885],[572,3889,1133],{"className":3890},[1167],[572,3892],{"className":3893,"style":1163},[885],[572,3895,3897,3900,3903,3932,3935,3938],{"className":3896},[614],[572,3898],{"className":3899,"style":1610},[618],[572,3901,1547],{"className":3902},[623],[572,3904,3906,3909],{"className":3905},[623],[572,3907,596],{"className":3908},[623,627],[572,3910,3912],{"className":3911},[631],[572,3913,3915],{"className":3914},[635],[572,3916,3918],{"className":3917},[640],[572,3919,3921],{"className":3920,"style":1632},[644],[572,3922,3923,3926],{"style":1635},[572,3924],{"className":3925,"style":653},[652],[572,3927,3929],{"className":3928},[657,658,659,660],[572,3930,1539],{"className":3931},[623,660],[572,3933],{"className":3934,"style":1163},[885],[572,3936,1560],{"className":3937},[1167],[572,3939],{"className":3940,"style":1163},[885],[572,3942,3944,3947],{"className":3943},[614],[572,3945],{"className":3946,"style":1332},[618],[572,3948,1539],{"className":3949},[623]," hat die Koeffizienten ",[572,3952,3954,3986],{"className":3953},[575],[572,3955,3957],{"className":3956},[579],[581,3958,3959],{"xmlns":583},[585,3960,3961,3983],{},[588,3962,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981],{},[598,3964,2006],{},[810,3966,812],{"separator":610},[598,3968,600],{},[810,3970,812],{"separator":610},[810,3972,1133],{},[598,3974,1547],{},[810,3976,812],{"separator":610},[598,3978,600],{},[810,3980,812],{"separator":610},[598,3982,1539],{},[602,3984,3985],{"encoding":604},"1, 0, -3, 0, 2",[572,3987,3989],{"className":3988,"ariaHidden":610},[609],[572,3990,3992,3995,3998,4001,4004,4007,4010,4013,4016,4019,4022,4025,4028,4031,4034],{"className":3991},[614],[572,3993],{"className":3994,"style":3365},[618],[572,3996,2006],{"className":3997},[623],[572,3999,812],{"className":4000},[881],[572,4002],{"className":4003,"style":886},[885],[572,4005,600],{"className":4006},[623],[572,4008,812],{"className":4009},[881],[572,4011],{"className":4012,"style":886},[885],[572,4014,1133],{"className":4015},[623],[572,4017,1547],{"className":4018},[623],[572,4020,812],{"className":4021},[881],[572,4023],{"className":4024,"style":886},[885],[572,4026,600],{"className":4027},[623],[572,4029,812],{"className":4030},[881],[572,4032],{"className":4033,"style":886},[885],[572,4035,1539],{"className":4036},[623],". An der Stelle ",[572,4039,4041,4065],{"className":4040},[575],[572,4042,4044],{"className":4043},[579],[581,4045,4046],{"xmlns":583},[585,4047,4048,4062],{},[588,4049,4050,4056,4058,4060],{},[591,4051,4052,4054],{},[594,4053,596],{},[598,4055,600],{},[810,4057,1251],{},[810,4059,1133],{},[598,4061,1539],{},[602,4063,4064],{"encoding":604},"x_0 = -2",[572,4066,4068,4123],{"className":4067,"ariaHidden":610},[609],[572,4069,4071,4074,4114,4117,4120],{"className":4070},[614],[572,4072],{"className":4073,"style":619},[618],[572,4075,4077,4080],{"className":4076},[623],[572,4078,596],{"className":4079},[623,627],[572,4081,4083],{"className":4082},[631],[572,4084,4086,4106],{"className":4085},[635,636],[572,4087,4089,4103],{"className":4088},[640],[572,4090,4092],{"className":4091,"style":645},[644],[572,4093,4094,4097],{"style":648},[572,4095],{"className":4096,"style":653},[652],[572,4098,4100],{"className":4099},[657,658,659,660],[572,4101,600],{"className":4102},[623,660],[572,4104,668],{"className":4105},[667],[572,4107,4109],{"className":4108},[640],[572,4110,4112],{"className":4111,"style":675},[644],[572,4113],{},[572,4115],{"className":4116,"style":1318},[885],[572,4118,1251],{"className":4119},[1322],[572,4121],{"className":4122,"style":1318},[885],[572,4124,4126,4129,4132],{"className":4125},[614],[572,4127],{"className":4128,"style":1707},[618],[572,4130,1133],{"className":4131},[623],[572,4133,1539],{"className":4134},[623]," ergibt die untere Zeile ",[572,4137,4139,4173],{"className":4138},[575],[572,4140,4142],{"className":4141},[579],[581,4143,4144],{"xmlns":583},[585,4145,4146,4170],{},[588,4147,4148,4150,4152,4154,4156,4158,4160,4162,4164,4166,4168],{},[598,4149,2006],{},[810,4151,812],{"separator":610},[810,4153,1133],{},[598,4155,1539],{},[810,4157,812],{"separator":610},[598,4159,2006],{},[810,4161,812],{"separator":610},[810,4163,1133],{},[598,4165,1539],{},[810,4167,812],{"separator":610},[598,4169,2375],{},[602,4171,4172],{"encoding":604},"1, -2, 1, -2, 6",[572,4174,4176],{"className":4175,"ariaHidden":610},[609],[572,4177,4179,4182,4185,4188,4191,4194,4197,4200,4203,4206,4209,4212,4215,4218,4221,4224],{"className":4178},[614],[572,4180],{"className":4181,"style":3365},[618],[572,4183,2006],{"className":4184},[623],[572,4186,812],{"className":4187},[881],[572,4189],{"className":4190,"style":886},[885],[572,4192,1133],{"className":4193},[623],[572,4195,1539],{"className":4196},[623],[572,4198,812],{"className":4199},[881],[572,4201],{"className":4202,"style":886},[885],[572,4204,2006],{"className":4205},[623],[572,4207,812],{"className":4208},[881],[572,4210],{"className":4211,"style":886},[885],[572,4213,1133],{"className":4214},[623],[572,4216,1539],{"className":4217},[623],[572,4219,812],{"className":4220},[881],[572,4222],{"className":4223,"style":886},[885],[572,4225,2375],{"className":4226},[623],", also ",[572,4229,4231,4257],{"className":4230},[575],[572,4232,4234],{"className":4233},[579],[581,4235,4236],{"xmlns":583},[585,4237,4238,4254],{},[588,4239,4240,4242,4244,4246,4248,4250,4252],{},[594,4241,564],{},[810,4243,1037],{"stretchy":1036},[810,4245,1133],{},[598,4247,1539],{},[810,4249,1046],{"stretchy":1036},[810,4251,1251],{},[598,4253,2375],{},[602,4255,4256],{"encoding":604},"p(-2) = 6",[572,4258,4260,4290],{"className":4259,"ariaHidden":610},[609],[572,4261,4263,4266,4269,4272,4275,4278,4281,4284,4287],{"className":4262},[614],[572,4264],{"className":4265,"style":1059},[618],[572,4267,564],{"className":4268},[623,627],[572,4270,1037],{"className":4271},[1066],[572,4273,1133],{"className":4274},[623],[572,4276,1539],{"className":4277},[623],[572,4279,1046],{"className":4280},[1110],[572,4282],{"className":4283,"style":1318},[885],[572,4285,1251],{"className":4286},[1322],[572,4288],{"className":4289,"style":1318},[885],[572,4291,4293,4296],{"className":4292},[614],[572,4294],{"className":4295,"style":1332},[618],[572,4297,2375],{"className":4298},[623],[559,4300,4302],{"id":4301},"typische-fehler","Typische Fehler",[4304,4305,4306,4477,4554],"ul",{},[786,4307,4308,4309,4337,4338,4476],{},"Fehlende Potenzen nicht mit ",[572,4310,4312,4325],{"className":4311},[575],[572,4313,4315],{"className":4314},[579],[581,4316,4317],{"xmlns":583},[585,4318,4319,4323],{},[588,4320,4321],{},[598,4322,600],{},[602,4324,600],{"encoding":604},[572,4326,4328],{"className":4327,"ariaHidden":610},[609],[572,4329,4331,4334],{"className":4330},[614],[572,4332],{"className":4333,"style":1332},[618],[572,4335,600],{"className":4336},[623]," eintragen. Bei ",[572,4339,4341,4373],{"className":4340},[575],[572,4342,4344],{"className":4343},[579],[581,4345,4346],{"xmlns":583},[585,4347,4348,4370],{},[588,4349,4350,4356,4358,4360,4366,4368],{},[1541,4351,4352,4354],{},[594,4353,596],{},[598,4355,1563],{},[810,4357,1133],{},[598,4359,1547],{},[1541,4361,4362,4364],{},[594,4363,596],{},[598,4365,1539],{},[810,4367,1560],{},[598,4369,1539],{},[602,4371,4372],{"encoding":604},"x^4 - 3x^2 + 2",[572,4374,4376,4420,4467],{"className":4375,"ariaHidden":610},[609],[572,4377,4379,4382,4411,4414,4417],{"className":4378},[614],[572,4380],{"className":4381,"style":1610},[618],[572,4383,4385,4388],{"className":4384},[623],[572,4386,596],{"className":4387},[623,627],[572,4389,4391],{"className":4390},[631],[572,4392,4394],{"className":4393},[635],[572,4395,4397],{"className":4396},[640],[572,4398,4400],{"className":4399,"style":1632},[644],[572,4401,4402,4405],{"style":1635},[572,4403],{"className":4404,"style":653},[652],[572,4406,4408],{"className":4407},[657,658,659,660],[572,4409,1563],{"className":4410},[623,660],[572,4412],{"className":4413,"style":1163},[885],[572,4415,1133],{"className":4416},[1167],[572,4418],{"className":4419,"style":1163},[885],[572,4421,4423,4426,4429,4458,4461,4464],{"className":4422},[614],[572,4424],{"className":4425,"style":1610},[618],[572,4427,1547],{"className":4428},[623],[572,4430,4432,4435],{"className":4431},[623],[572,4433,596],{"className":4434},[623,627],[572,4436,4438],{"className":4437},[631],[572,4439,4441],{"className":4440},[635],[572,4442,4444],{"className":4443},[640],[572,4445,4447],{"className":4446,"style":1632},[644],[572,4448,4449,4452],{"style":1635},[572,4450],{"className":4451,"style":653},[652],[572,4453,4455],{"className":4454},[657,658,659,660],[572,4456,1539],{"className":4457},[623,660],[572,4459],{"className":4460,"style":1163},[885],[572,4462,1560],{"className":4463},[1167],[572,4465],{"className":4466,"style":1163},[885],[572,4468,4470,4473],{"className":4469},[614],[572,4471],{"className":4472,"style":1332},[618],[572,4474,1539],{"className":4475},[623]," wären es sonst nur drei Koeffizienten, und alles verrutscht.",[786,4478,4479,4480,4549,4550,4553],{},"In der mittleren Zeile addieren statt multiplizieren: Die untere Zahl wird mit ",[572,4481,4483,4500],{"className":4482},[575],[572,4484,4486],{"className":4485},[579],[581,4487,4488],{"xmlns":583},[585,4489,4490,4498],{},[588,4491,4492],{},[591,4493,4494,4496],{},[594,4495,596],{},[598,4497,600],{},[602,4499,605],{"encoding":604},[572,4501,4503],{"className":4502,"ariaHidden":610},[609],[572,4504,4506,4509],{"className":4505},[614],[572,4507],{"className":4508,"style":619},[618],[572,4510,4512,4515],{"className":4511},[623],[572,4513,596],{"className":4514},[623,627],[572,4516,4518],{"className":4517},[631],[572,4519,4521,4541],{"className":4520},[635,636],[572,4522,4524,4538],{"className":4523},[640],[572,4525,4527],{"className":4526,"style":645},[644],[572,4528,4529,4532],{"style":648},[572,4530],{"className":4531,"style":653},[652],[572,4533,4535],{"className":4534},[657,658,659,660],[572,4536,600],{"className":4537},[623,660],[572,4539,668],{"className":4540},[667],[572,4542,4544],{"className":4543},[640],[572,4545,4547],{"className":4546,"style":675},[644],[572,4548],{}," ",[568,4551,4552],{},"multipliziert",", erst dann wird addiert.",[786,4555,4556,4557,4618,4619,4710,4711,4807,4808,1111],{},"Bei der Division durch ",[572,4558,4560,4582],{"className":4559},[575],[572,4561,4563],{"className":4562},[579],[581,4564,4565],{"xmlns":583},[585,4566,4567,4579],{},[588,4568,4569,4571,4573,4575,4577],{},[810,4570,1037],{"stretchy":1036},[594,4572,596],{},[810,4574,1560],{},[598,4576,1539],{},[810,4578,1046],{"stretchy":1036},[602,4580,4581],{"encoding":604},"(x + 2)",[572,4583,4585,4606],{"className":4584,"ariaHidden":610},[609],[572,4586,4588,4591,4594,4597,4600,4603],{"className":4587},[614],[572,4589],{"className":4590,"style":1059},[618],[572,4592,1037],{"className":4593},[1066],[572,4595,596],{"className":4596},[623,627],[572,4598],{"className":4599,"style":1163},[885],[572,4601,1560],{"className":4602},[1167],[572,4604],{"className":4605,"style":1163},[885],[572,4607,4609,4612,4615],{"className":4608},[614],[572,4610],{"className":4611,"style":1059},[618],[572,4613,1539],{"className":4614},[623],[572,4616,1046],{"className":4617},[1110]," mit ",[572,4620,4622,4643],{"className":4621},[575],[572,4623,4625],{"className":4624},[579],[581,4626,4627],{"xmlns":583},[585,4628,4629,4641],{},[588,4630,4631,4637,4639],{},[591,4632,4633,4635],{},[594,4634,596],{},[598,4636,600],{},[810,4638,1251],{},[598,4640,1539],{},[602,4642,1757],{"encoding":604},[572,4644,4646,4701],{"className":4645,"ariaHidden":610},[609],[572,4647,4649,4652,4692,4695,4698],{"className":4648},[614],[572,4650],{"className":4651,"style":619},[618],[572,4653,4655,4658],{"className":4654},[623],[572,4656,596],{"className":4657},[623,627],[572,4659,4661],{"className":4660},[631],[572,4662,4664,4684],{"className":4663},[635,636],[572,4665,4667,4681],{"className":4666},[640],[572,4668,4670],{"className":4669,"style":645},[644],[572,4671,4672,4675],{"style":648},[572,4673],{"className":4674,"style":653},[652],[572,4676,4678],{"className":4677},[657,658,659,660],[572,4679,600],{"className":4680},[623,660],[572,4682,668],{"className":4683},[667],[572,4685,4687],{"className":4686},[640],[572,4688,4690],{"className":4689,"style":675},[644],[572,4691],{},[572,4693],{"className":4694,"style":1318},[885],[572,4696,1251],{"className":4697},[1322],[572,4699],{"className":4700,"style":1318},[885],[572,4702,4704,4707],{"className":4703},[614],[572,4705],{"className":4706,"style":1332},[618],[572,4708,1539],{"className":4709},[623]," rechnen. Richtig ist ",[572,4712,4714,4737],{"className":4713},[575],[572,4715,4717],{"className":4716},[579],[581,4718,4719],{"xmlns":583},[585,4720,4721,4735],{},[588,4722,4723,4729,4731,4733],{},[591,4724,4725,4727],{},[594,4726,596],{},[598,4728,600],{},[810,4730,1251],{},[810,4732,1133],{},[598,4734,1539],{},[602,4736,4064],{"encoding":604},[572,4738,4740,4795],{"className":4739,"ariaHidden":610},[609],[572,4741,4743,4746,4786,4789,4792],{"className":4742},[614],[572,4744],{"className":4745,"style":619},[618],[572,4747,4749,4752],{"className":4748},[623],[572,4750,596],{"className":4751},[623,627],[572,4753,4755],{"className":4754},[631],[572,4756,4758,4778],{"className":4757},[635,636],[572,4759,4761,4775],{"className":4760},[640],[572,4762,4764],{"className":4763,"style":645},[644],[572,4765,4766,4769],{"style":648},[572,4767],{"className":4768,"style":653},[652],[572,4770,4772],{"className":4771},[657,658,659,660],[572,4773,600],{"className":4774},[623,660],[572,4776,668],{"className":4777},[667],[572,4779,4781],{"className":4780},[640],[572,4782,4784],{"className":4783,"style":675},[644],[572,4785],{},[572,4787],{"className":4788,"style":1318},[885],[572,4790,1251],{"className":4791},[1322],[572,4793],{"className":4794,"style":1318},[885],[572,4796,4798,4801,4804],{"className":4797},[614],[572,4799],{"className":4800,"style":1707},[618],[572,4802,1133],{"className":4803},[623],[572,4805,1539],{"className":4806},[623],", denn ",[572,4809,4811,4843],{"className":4810},[575],[572,4812,4814],{"className":4813},[579],[581,4815,4816],{"xmlns":583},[585,4817,4818,4840],{},[588,4819,4820,4822,4824,4826,4828,4830,4832,4834,4836,4838],{},[594,4821,596],{},[810,4823,1560],{},[598,4825,1539],{},[810,4827,1251],{},[594,4829,596],{},[810,4831,1133],{},[810,4833,1037],{"stretchy":1036},[810,4835,1133],{},[598,4837,1539],{},[810,4839,1046],{"stretchy":1036},[602,4841,4842],{"encoding":604},"x + 2 = x - (-2)",[572,4844,4846,4864,4882,4900],{"className":4845,"ariaHidden":610},[609],[572,4847,4849,4852,4855,4858,4861],{"className":4848},[614],[572,4850],{"className":4851,"style":2983},[618],[572,4853,596],{"className":4854},[623,627],[572,4856],{"className":4857,"style":1163},[885],[572,4859,1560],{"className":4860},[1167],[572,4862],{"className":4863,"style":1163},[885],[572,4865,4867,4870,4873,4876,4879],{"className":4866},[614],[572,4868],{"className":4869,"style":1332},[618],[572,4871,1539],{"className":4872},[623],[572,4874],{"className":4875,"style":1318},[885],[572,4877,1251],{"className":4878},[1322],[572,4880],{"className":4881,"style":1318},[885],[572,4883,4885,4888,4891,4894,4897],{"className":4884},[614],[572,4886],{"className":4887,"style":2983},[618],[572,4889,596],{"className":4890},[623,627],[572,4892],{"className":4893,"style":1163},[885],[572,4895,1133],{"className":4896},[1167],[572,4898],{"className":4899,"style":1163},[885],[572,4901,4903,4906,4909,4912,4915],{"className":4902},[614],[572,4904],{"className":4905,"style":1059},[618],[572,4907,1037],{"className":4908},[1066],[572,4910,1133],{"className":4911},[623],[572,4913,1539],{"className":4914},[623],[572,4916,1046],{"className":4917},[1110],{"title":4919,"searchDepth":4920,"depth":4920,"links":4921},"",2,[4922,4923,4924],{"id":561,"depth":4920,"text":562},{"id":1511,"depth":4920,"text":1512},{"id":4301,"depth":4920,"text":4302},[4926,4929,4931,4933,4935,4937,4940,4942,4945,4947],{"lhs":4927,"rhs":4928},"((a3*x + a2)*x + a1)*x + a0","a3*x^3 + a2*x^2 + a1*x + a0",{"lhs":4930,"rhs":2006},"2*2 - 3",{"lhs":4932,"rhs":2375},"1*2 + 4",{"lhs":4934,"rhs":2406},"6*2 - 5",{"lhs":4936,"rhs":2406},"2*2^3 - 3*2^2 + 4*2 - 5",{"lhs":4938,"rhs":4939},"(x - 2)*(2*x^2 + x + 6) + 7","2*x^3 - 3*x^2 + 4*x - 5",{"lhs":4941,"rhs":600},"((1*1 - 2)*1 - 5)*1 + 6",{"lhs":4943,"rhs":4944},"(x - 1)*(x^2 - x - 6)","x^3 - 2*x^2 - 5*x + 6",{"lhs":4946,"rhs":2375},"(((1*(-2) + 0)*(-2) - 3)*(-2) + 0)*(-2) + 2",{"lhs":4948,"rhs":2375},"(-2)^4 - 3*(-2)^2 + 2",null,"md","horner-scheme","p(x_0) = \\bigl(\\cdots\\bigl((a_n x_0 + a_{n-1})\\, x_0 + a_{n-2}\\bigr)\\, x_0 + \\cdots + a_1\\bigr)\\, x_0 + a_0","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>p\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(\u003C\u002Fmo>\u003Cmo>⋯\u003C\u002Fmo>\u003Cmo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">(\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>+\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>+\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmrow>\u003C\u002Fmsub>\u003Cmo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)\u003C\u002Fmo>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>+\u003C\u002Fmo>\u003Cmo>⋯\u003C\u002Fmo>\u003Cmo>+\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo fence=\"true\" stretchy=\"true\" minsize=\"1.2em\" maxsize=\"1.2em\">)\u003C\u002Fmo>\u003Cmtext> \u003C\u002Fmtext>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>+\u003C\u002Fmo>\u003Cmsub>\u003Cmi>a\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">p(x_0) = \\bigl(\\cdots\\bigl((a_n x_0 + a_{n-1})\\, x_0 + a_{n-2}\\bigr)\\, x_0 + \\cdots + a_1\\bigr)\\, x_0 + a_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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