Polynomial From Roots

(the database of solved problems)

All the problems and solutions shown below were generated using the Polynomial From Roots Calculator.

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ID	Problem	Count
1401	Find the polynomial having roots at $ 7 $ , $ 7 $ , $ \dfrac{ 2 }{ 3 } $ , $ -\dfrac{ 4 }{ 7 } $ , $ -\dfrac{ 2 }{ 5 } $ , $ -2 $ , $ -4 $ , $ 1 $ , $ 1 $ , $ 9 $ , $ 9 $ , $ 9 $ and $ 5 $ .	2
1402	Find the polynomial having roots at $ \dfrac{ 77 }{ 9 } $ , $ -\dfrac{ 5 }{ 4 } $ and $ 1 $ .	2
1403	Find the polynomial having roots at $ 1 $ , $ 2 $ , $ 3 $ , $ -1 $ , $ -2 $ and $ -3 $ .	2
1404	Find the polynomial having roots at $ -4 $ , $ 4 $ and $ -4 $ .	2
1405	Find the polynomial having roots at $ -2 $ , $ -2 $ and $ 2 $ .	2
1406	Find the polynomial having roots at $ 11 $ and $ 15 $ .	2
1407	Find the polynomial having roots at $ 2 $ .	2
1408	Find the polynomial having roots at $ 1 $ , $ 4 $ , $ 9 $ , $ 6 $ , $ 0 $ and $ 0 $ .	2
1409	Find the polynomial having roots at $ -1 $ , $ 7 $ , $ -4 $ , $ 1 $ and $ 45 $ .	2
1410	Find the polynomial having roots at $ -4 $ and $ 3 $ .	2
1411	Find the polynomial having roots at $ \dfrac{ 3 }{ 2 } $ .	2
1412	Find the polynomial having roots at $ 2 $ and $ 4 $ .	2
1413	Find the polynomial having roots at $ -5 $ , $ -2 $ , $ 3 $ and $ 7 $ .	2
1414	Find the polynomial having roots at $ 2 $ , $ -4 $ , $ -7 $ , $ 3 $ and $ 9 $ .	2
1415	Find the polynomial having roots at $ 0 $ , $ 5 $ and $ -6 $ .	2
1416	Find the polynomial having roots at $ 3 $ , $ 8 $ and $ -4 $ .	2
1417	Find the polynomial having roots at $ 0 $ , $ -7 $ and $ -4 $ .	2
1418	Find the polynomial having roots at $ 4 $ and $ 29 $ .	2
1419	Find the polynomial having roots at $ -1 $ , $ 1 $ and $ -9 $ .	2
1420	Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -3 $ and $ 3 $ .	2
1421	Find the polynomial having roots at $ -1 $ , $ 2 $ , $ -5 $ and $ -3 $ .	2
1422	Find the polynomial having roots at $ 1 $ , $ -7 $ , $ -4 $ and $ -2 $ .	2
1423	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 2 $ , $ -2 $ and $ 3 $ .	2
1424	Find the polynomial having roots at $ 5 $ , $ 6 $ and $ -2 $ .	2
1425	Find the polynomial having roots at $ 4 $ and $ 8 $ .	2
1426	Find the polynomial having roots at $ 0 $ , $ 2 $ and $ -4 $ .	2
1427	Find the polynomial having roots at $ -3 $ , $ 4 $ , $ -\dfrac{ 1 }{ 4 } $ , $ \dfrac{ 3 }{ 2 } $ , $ -\dfrac{ 1 }{ 3 } $ , $ 2 $ and $ -5 $ .	2
1428	Find the polynomial having roots at $ -2 $ , $ \dfrac{ 1 }{ 2 } $ and $ 1 $ .	2
1429	Find the polynomial having roots at $ -2 $ and $ \dfrac{ 1 }{ 2 } $ .	2
1430	Find the polynomial having roots at $ 15 $ and $ -\dfrac{ 1 }{ 5 } $ .	2
1431	Find the polynomial having roots at $ 1 $ , $ 1 $ , $ 0 $ and $ -1 $ .	2
1432	Find the polynomial having roots at $ 6 $ , $ 2 $ and $ 2 $ .	2
1433	Find the polynomial having roots at $ 1 $ , $ -3 $ , $ 2 $ and $ \dfrac{ 2 }{ 3 } $ .	2
1434	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ , $ -\dfrac{ 17 }{ 13 } $ and $ \dfrac{ 562251 }{ 1000000 } $ .	2
1435	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ , $ -\dfrac{ 17 }{ 13 } $ and $ \dfrac{ 14 }{ 25 } $ .	2
1436	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ , $ -\dfrac{ 17 }{ 13 } $ and $ \dfrac{ 1 }{ 2 } $ .	2
1437	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ and $ -\dfrac{ 17 }{ 13 } $ .	2
1438	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 7 } $ , $ -\dfrac{ 17 }{ 3 } $ and $ 1 $ .	2
1439	Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -3 $ and $ 2 $ .	2
1440	Find the polynomial having roots at $ -2 $ , $ 3 $ and $ 4 $ .	2
1441	Find the polynomial having roots at $ 2 $ , $ 4 $ , $ 6 $ , $ 12 $ and $ 217 $ .	2
1442	Find the polynomial having roots at $ 2 $ , $ 3 $ , $ 5 $ , $ 7 $ , $ 11 $ , $ 13 $ , $ 17 $ , $ 19 $ , $ 23 $ and $ 29 $ .	2
1443	Find the polynomial having roots at $ 3 $ , $ 5 $ , $ 7 $ , $ 11 $ , $ 13 $ , $ 17 $ , $ 19 $ , $ 23 $ , $ 25 $ and $ 29 $ .	2
1444	Find the polynomial having roots at $ 1 $ , $ 10 $ , $ 100 $ , $ 1000 $ and $ 1001 $ .	2
1445	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 2 $ and $ 3 $ .	2
1446	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 2 $ and $ 2 $ .	2
1447	Find the polynomial having roots at $ -\dfrac{ 4 }{ 5 } $ , $ \dfrac{ 2 }{ 3 } $ and $ 2 $ .	2
1448	Find the polynomial having roots at $ \dfrac{ 43 }{ 2 } $ and $ -\dfrac{ 13 }{ 4 } $ .	2
1449	Find the polynomial having roots at $ 34 $ .	2
1450	Find the polynomial having roots at $ -5 $ , $ 1 $ , $ 3 $ and $ -1 $ .	2