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 |
| 4701 | Find the polynomial having roots at $ \dfrac{ 1 }{ 4 } $ and $ 4 $ . | 1 |
| 4702 | Find the polynomial having roots at $ \dfrac{ 1 }{ 4 } $ and $ -4 $ . | 1 |
| 4703 | Find the polynomial having roots at $ 5 $ , $ 0 $ and $ -2 $ . | 1 |
| 4704 | Find the polynomial having roots at $ 2 $ and $ 15 $ . | 1 |
| 4705 | Find the polynomial having roots at $ 6 $ , $ 9 $ and $ 11 $ . | 1 |
| 4706 | Find the polynomial having roots at $ 5 $ , $ 6 $ and $ 9 $ . | 1 |
| 4707 | Find the polynomial having roots at $ 4 $ , $ -4 $ and $ 9 $ . | 1 |
| 4708 | Find the polynomial having roots at $ 4 $ , $ -\dfrac{ 2 }{ 5 } $ and $ \dfrac{ 2 }{ 3 } $ . | 1 |
| 4709 | Find the polynomial having roots at $ -3 $ , $ -4 $ and $ 3 $ . | 1 |
| 4710 | Find the polynomial having roots at $ 5 $ , $ -5 $ and $ 2 $ . | 1 |
| 4711 | Find the polynomial having roots at $ 2 $ , $ -1 $ and $ -3 $ . | 1 |
| 4712 | Find the polynomial having roots at $ \dfrac{ 4 }{ 3 } $ and $ -\dfrac{ 2 }{ 3 } $ . | 1 |
| 4713 | Find the polynomial having roots at $ 0 $ , $ 1 $ and $ 3 $ . | 1 |
| 4714 | Find the polynomial having roots at $ 6 $ , $ 2 $ and $ 3 $ . | 1 |
| 4715 | Find the polynomial having roots at $ 4 $ , $ 7 $ , $ 12 $ , $ 3 $ and $ 9 $ . | 1 |
| 4716 | Find the polynomial having roots at $ \dfrac{ 3 }{ 4 } $ , $ \dfrac{ 3 }{ 4 } $ , $ -\dfrac{ 3 }{ 4 } $ and $ 5 $ . | 1 |
| 4717 | Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ , $ \dfrac{ 2 }{ 3 } $ , $ -\dfrac{ 3 }{ 4 } $ and $ 4 $ . | 1 |
| 4718 | Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ , $ \dfrac{ 2 }{ 3 } $ , $ -\dfrac{ 2 }{ 3 } $ and $ 3 $ . | 1 |
| 4719 | Find the polynomial having roots at $ 5 $ , $ 1 $ , $ 17 $ , $ 4 $ and $ 6 $ . | 1 |
| 4720 | Find the polynomial having roots at $ 1 $ , $ -4 $ , $ 5 $ , $ 8 $ and $ -\dfrac{ 1 }{ 4 } $ . | 1 |
| 4721 | Find the polynomial having roots at $ 1 $ , $ 1 $ , $ -\dfrac{ 1 }{ 4 } $ and $ -4 $ . | 1 |
| 4722 | Find the polynomial having roots at $ 14 $ , $ 21 $ , $ -6 $ , $ 12 $ and $ \dfrac{ 1 }{ 2 } $ . | 1 |
| 4723 | Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -\dfrac{ 1 }{ 3 } $ , $ -4 $ , $ -3 $ and $ 1 $ . | 1 |
| 4724 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ -\dfrac{ 1 }{ 3 } $ , $ -4 $ , $ -3 $ and $ 1 $ . | 1 |
| 4725 | Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -\dfrac{ 1 }{ 3 } $ , $ -4 $ , $ -4 $ and $ 1 $ . | 1 |
| 4726 | Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -\dfrac{ 1 }{ 3 } $ , $ -4 $ , $ 1 $ and $ 1 $ . | 1 |
| 4727 | Find the polynomial having roots at $ 23 $ , $ 4 $ , $ 6 $ and $ 18 $ . | 1 |
| 4728 | Find the polynomial having roots at $ 16 $ , $ 8 $ , $ 47 $ and $ 2 $ . | 1 |
| 4729 | Find the polynomial having roots at $ 51 $ , $ 7 $ , $ 5 $ and $ \dfrac{ 23 }{ 10 } $ . | 1 |
| 4730 | Find the polynomial having roots at $ 51 $ , $ 7 $ , $ 5 $ and $ -\dfrac{ 23 }{ 10 } $ . | 1 |
| 4731 | Find the polynomial having roots at $ 3 $ , $ -9 $ and $ -2 $ . | 1 |
| 4732 | Find the polynomial having roots at $ 6 $ , $ \dfrac{ 23 }{ 10 } $ , $ 17 $ and $ 12 $ . | 1 |
| 4733 | Find the polynomial having roots at $ 6 $ , $ \dfrac{ 23 }{ 10 } $ and $ 17 $ . | 1 |
| 4734 | Find the polynomial having roots at $ 3 $ , $ 6 $ , $ -4 $ and $ 2 $ . | 1 |
| 4735 | Find the polynomial having roots at $ -3 $ , $ -6 $ , $ -4 $ and $ -2 $ . | 1 |
| 4736 | Find the polynomial having roots at $ 7 $ , $ 4 $ , $ -4 $ , $ -7 $ and $ -9 $ . | 1 |
| 4737 | Find the polynomial having roots at $ -7 $ , $ -4 $ , $ 4 $ , $ 7 $ and $ 9 $ . | 1 |
| 4738 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -3 $ and $ 4 $ . | 1 |
| 4739 | Find the polynomial having roots at $ 2 $ , $ 0 $ , $ 7 $ and $ -8 $ . | 1 |
| 4740 | Find the polynomial having roots at $ 2 $ , $ \dfrac{ 47 }{ 10 } $ , $ -6 $ and $ 18 $ . | 1 |
| 4741 | Find the polynomial having roots at $ -2 $ , $ 0 $ , $ 7 $ and $ -8 $ . | 1 |
| 4742 | Find the polynomial having roots at $ -2 $ , $ 0 $ , $ 5 $ and $ -8 $ . | 1 |
| 4743 | Find the polynomial having roots at $ 7 $ , $ -6 $ , $ 8 $ and $ -9 $ . | 1 |
| 4744 | Find the polynomial having roots at $ 3 $ , $ 4 $ , $ -5 $ and $ -6 $ . | 1 |
| 4745 | Find the polynomial having roots at $ -3 $ , $ 0 $ , $ 3 $ , $ 6 $ and $ 9 $ . | 1 |
| 4746 | Find the polynomial having roots at $ 0 $ , $ 4 $ , $ -5 $ and $ 6 $ . | 1 |
| 4747 | Find the polynomial having roots at $ 7 $ , $ 7 $ , $ 5 $ and $ 9 $ . | 1 |
| 4748 | Find the polynomial having roots at $ -1 $ , $ 7 $ , $ 3 $ and $ 0 $ . | 1 |
| 4749 | Find the polynomial having roots at $ \dfrac{ 36 }{ 5 } $ , $ -\dfrac{ 91 }{ 10 } $ , $ \dfrac{ 88 }{ 5 } $ and $ \dfrac{ 6 }{ 5 } $ . | 1 |
| 4750 | Find the polynomial having roots at $ 5 $ , $ -\dfrac{ 86 }{ 5 } $ , $ 8 $ , $ 31 $ and $ 2 $ . | 1 |