Polynomial From Roots
(the database of solved problems)
All the problems and solutions shown below were generated using the Polynomial From Roots Calculator.
| ID |
Problem |
Count |
| 601 | Find the polynomial having roots at $ 6 $ , $ -1 $ and $ -9 $ . | 6 |
| 602 | Find the polynomial having roots at $ 0 $ , $ 1 $ and $ 3 $ . | 6 |
| 603 | Find the polynomial having roots at $ 0 $ , $ 4 $ and $ -4 $ . | 6 |
| 604 | Find the polynomial having roots at $ -3 $ , $ 1 $ and $ 5 $ . | 6 |
| 605 | Find the polynomial having roots at $ -3 $ , $ -2 $ and $ 1 $ . | 6 |
| 606 | Find the polynomial having roots at $ 2 $ , $ -3 $ , $ 5 $ and $ -6 $ . | 6 |
| 607 | Find the polynomial having roots at $ 4 $ , $ 2 $ and $ 1 $ . | 6 |
| 608 | Find the polynomial having roots at $ 8 $ , $ 12 $ , $ 13 $ , $ 16 $ , $ 17 $ and $ 18 $ . | 5 |
| 609 | Find the polynomial having roots at $ -1 $ , $ 1 $ and $ \dfrac{ 173 }{ 100 } $ . | 5 |
| 610 | Find the polynomial having roots at $ -4 $ and $ -4 $ . | 5 |
| 611 | Find the polynomial having roots at $ -1 $ , $ 7 $ and $ -3 $ . | 5 |
| 612 | Find the polynomial having roots at $ 2 $ , $ 3 $ and $ -5 $ . | 5 |
| 613 | Find the polynomial having roots at $ 2 $ , $ -2 $ , $ 1 $ , $ \dfrac{ 1 }{ 4 } $ and $ -\dfrac{ 2 }{ 3 } $ . | 5 |
| 614 | Find the polynomial having roots at $ -1 $ , $ 1 $ and $ 8 $ . | 5 |
| 615 | Find the polynomial having roots at $ -7 $ and $ -6 $ . | 5 |
| 616 | Find the polynomial having roots at $ -1 $ and $ 3 $ . | 5 |
| 617 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ 3 $ and $ 3 $ . | 5 |
| 618 | Find the polynomial having roots at $ 2 $ , $ -6 $ and $ -5 $ . | 5 |
| 619 | Find the polynomial having roots at $ 0 $ , $ 1 $ , $ -8 $ and $ -5 $ . | 5 |
| 620 | Find the polynomial having roots at $ -6 $ , $ -1 $ , $ -\dfrac{ 7 }{ 3 } $ , $ \dfrac{ 5 }{ 2 } $ , $ -2 $ , $ -2 $ and $ 4 $ . | 5 |
| 621 | Find the polynomial having roots at $ 2 $ , $ -2 $ , $ -\dfrac{ 1 }{ 3 } $ , $ \dfrac{ 2 }{ 7 } $ and $ 3 $ . | 5 |
| 622 | Find the polynomial having roots at $ -5 $ , $ -1 $ , $ 0 $ , $ 1 $ and $ 5 $ . | 5 |
| 623 | Find the polynomial having roots at $ -5 $ and $ -4 $ . | 5 |
| 624 | Find the polynomial having roots at $ -1 $ and $ -2 $ . | 5 |
| 625 | Find the polynomial having roots at $ 1 $ , $ 2 $ and $ 9 $ . | 5 |
| 626 | Find the polynomial having roots at $ 0 $ , $ 0 $ , $ -1 $ and $ -2 $ . | 5 |
| 627 | Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ and $ -\dfrac{ 1 }{ 10 } $ . | 5 |
| 628 | Find the polynomial having roots at $ 12 $ , $ 4 $ , $ -17 $ and $ -6 $ . | 5 |
| 629 | Find the polynomial having roots at $ 0 $ , $ 0 $ , $ -5 $ and $ 5 $ . | 5 |
| 630 | Find the polynomial having roots at $ -1 $ and $ \dfrac{ 1 }{ 3 } $ . | 5 |
| 631 | Find the polynomial having roots at $ -1 $ , $ 4 $ and $ 7 $ . | 5 |
| 632 | Find the polynomial having roots at $ -1 $ and $ \dfrac{ 47 }{ 10 } $ . | 5 |
| 633 | Find the polynomial having roots at $ 2 $ , $ 3 $ , $ 4 $ , $ 1 $ and $ 5 $ . | 5 |
| 634 | Find the polynomial having roots at $ 2 $ , $ 3 $ , $ 6 $ and $ 8 $ . | 5 |
| 635 | Find the polynomial having roots at $ 2 $ , $ 2 $ and $ 6 $ . | 5 |
| 636 | Find the polynomial having roots at $ 6 $ , $ 4 $ and $ 2 $ . | 5 |
| 637 | Find the polynomial having roots at $ -5 $ , $ -6 $ and $ -8 $ . | 5 |
| 638 | Find the polynomial having roots at $ 0 $ . | 5 |
| 639 | Find the polynomial having roots at $ 0 $ . | 5 |
| 640 | Find the polynomial having roots at $ \dfrac{ 439 }{ 100 } $ , $ \dfrac{ 22 }{ 5 } $ , $ \dfrac{ 441 }{ 100 } $ and $ \dfrac{ 221 }{ 50 } $ . | 5 |
| 641 | Find the polynomial having roots at $ 20 $ , $ 25 $ and $ 30 $ . | 5 |
| 642 | Find the polynomial having roots at $ 10 $ , $ 20 $ and $ 25 $ . | 5 |
| 643 | Find the polynomial having roots at $ 6 $ , $ 12 $ and $ 18 $ . | 5 |
| 644 | Find the polynomial having roots at $ 13 $ , $ 5 $ and $ 9 $ . | 5 |
| 645 | Find the polynomial having roots at $ 18 $ , $ 12 $ and $ 6 $ . | 5 |
| 646 | Find the polynomial having roots at $ 3 $ , $ \dfrac{ 1 }{ 3 } $ , $ 5 $ and $ \dfrac{ 1 }{ 5 } $ . | 5 |
| 647 | Find the polynomial having roots at $ 2 $ , $ 3 $ and $ -4 $ . | 5 |
| 648 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ \dfrac{ 1 }{ 2 } $ , $ 3 $ and $ \dfrac{ 1 }{ 3 } $ . | 5 |
| 649 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 3 $ , $ \dfrac{ 1 }{ 3 } $ , $ 5 $ and $ \dfrac{ 1 }{ 5 } $ . | 5 |
| 650 | Find the polynomial having roots at $ -1 $ , $ 7 $ , $ \dfrac{ 1 }{ 7 } $ , $ 11 $ and $ \dfrac{ 1 }{ 11 } $ . | 5 |