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 |
| 2751 | Find the polynomial having roots at $ 4 $ , $ 2 $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2752 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ \dfrac{ 1 }{ 3 } $ and $ 2 $ . | 2 |
| 2753 | Find the polynomial having roots at $ 2 $ , $ 1 $ and $ \dfrac{ 1 }{ 6 } $ . | 2 |
| 2754 | Find the polynomial having roots at $ 2 $ , $ 1 $ , $ \dfrac{ 1 }{ 6 } $ and $ \dfrac{ 2 }{ 3 } $ . | 2 |
| 2755 | Find the polynomial having roots at $ -6 $ , $ \dfrac{ 1 }{ 3 } $ and $ 1 $ . | 2 |
| 2756 | Find the polynomial having roots at $ -4 $ , $ \dfrac{ 1 }{ 5 } $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2757 | Find the polynomial having roots at $ -2 $ , $ -2 $ , $ -2 $ , $ 1 $ , $ 1 $ , $ 4 $ , $ 4 $ and $ 3 $ . | 2 |
| 2758 | Find the polynomial having roots at $ 6 $ , $ 6 $ , $ 6 $ , $ 6 $ , $ 6 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ -1 $ , $ -1 $ and $ 2 $ . | 2 |
| 2759 | Find the polynomial having roots at $ -3 $ , $ -3 $ , $ -3 $ , $ -3 $ , $ 1 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ 3 $ , $ 3 $ , $ 3 $ and $ 3 $ . | 2 |
| 2760 | Find the polynomial having roots at $ 3 $ , $ 3 $ , $ 3 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -1 $ , $ -1 $ , $ -1 $ and $ -1 $ . | 2 |
| 2761 | Find the polynomial having roots at $ 3 $ , $ 3 $ , $ 3 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -2 $ , $ -1 $ , $ -1 $ , $ -1 $ , $ -1 $ and $ -1 $ . | 2 |
| 2762 | Find the polynomial having roots at $ -1 $ , $ 1 $ , $ 6 $ and $ -6 $ . | 2 |
| 2763 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ 2 $ , $ -1 $ , $ -1 $ , $ 1 $ , $ 1 $ and $ 3 $ . | 2 |
| 2764 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ 2 $ , $ 1 $ , $ 1 $ , $ -1 $ and $ -1 $ . | 2 |
| 2765 | Find the polynomial having roots at $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ , $ -4 $ and $ -4 $ . | 2 |
| 2766 | Find the polynomial having roots at $ -2 $ , $ 0 $ , $ 0 $ , $ 0 $ , $ \dfrac{ 7 }{ 5 } $ , $ 0 $ , $ -\dfrac{ 7 }{ 5 } $ , $ -\dfrac{ 3 }{ 5 } $ , $ \dfrac{ 4 }{ 5 } $ and $ -\dfrac{ 2 }{ 5 } $ . | 2 |
| 2767 | Find the polynomial having roots at $ 1 $ , $ -\dfrac{ 1 }{ 2 } $ , $ 2 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 2768 | Find the polynomial having roots at $ -1 $ , $ 2 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 2769 | Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ 4 $ , $ \dfrac{ 3 }{ 2 } $ and $ \dfrac{ 1 }{ 8 } $ . | 2 |
| 2770 | Find the polynomial having roots at $ 5 $ , $ 2 $ , $ -1 $ and $ -3 $ . | 2 |
| 2771 | Find the polynomial having roots at $ -5 $ , $ -2 $ , $ 1 $ and $ 3 $ . | 2 |
| 2772 | Find the polynomial having roots at $ -2 $ , $ -1 $ , $ \dfrac{ 1 }{ 2 } $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 2773 | Find the polynomial having roots at $ 7 $ , $ -6 $ and $ 0 $ . | 2 |
| 2774 | Find the polynomial having roots at $ 0 $ , $ 3 $ and $ 4 $ . | 2 |
| 2775 | Find the polynomial having roots at $ 5 $ , $ 3 $ , $ 1 $ and $ -1 $ . | 2 |
| 2776 | Find the polynomial having roots at $ 4 $ , $ 4 $ and $ -4 $ . | 2 |
| 2777 | Find the polynomial having roots at $ -2 $ , $ 3 $ , $ 4 $ and $ -1 $ . | 2 |
| 2778 | Find the polynomial having roots at $ 5 $ , $ 1 $ , $ 1 $ and $ -1 $ . | 2 |
| 2779 | Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ and $ -2 $ . | 2 |
| 2780 | Find the polynomial having roots at $ -7 $ and $ 3 $ . | 2 |
| 2781 | Find the polynomial having roots at $ -3 $ and $ -7 $ . | 2 |
| 2782 | Find the polynomial having roots at $ -2 $ , $ -3 $ , $ 1 $ and $ -2 $ . | 2 |
| 2783 | Find the polynomial having roots at $ -9 $ and $ 8 $ . | 2 |
| 2784 | Find the polynomial having roots at $ -6 $ , $ -2 $ , $ 2 $ and $ 3 $ . | 2 |
| 2785 | Find the polynomial having roots at $ \dfrac{ 8 }{ 9 } $ , $ \dfrac{ 27 }{ 5 } $ and $ 900 $ . | 2 |
| 2786 | Find the polynomial having roots at $ -2 $ and $ -\dfrac{ 5 }{ 2 } $ . | 2 |
| 2787 | Find the polynomial having roots at $ 3 $ , $ 2 $ and $ \dfrac{ 1 }{ 3 } $ . | 2 |
| 2788 | Find the polynomial having roots at $ -1 $ and $ -5 $ . | 2 |
| 2789 | Find the polynomial having roots at $ 0 $ and $ -28 $ . | 2 |
| 2790 | Find the polynomial having roots at $ 7 $ and $ -4 $ . | 2 |
| 2791 | Find the polynomial having roots at $ 0 $ and $ 7 $ . | 2 |
| 2792 | Find the polynomial having roots at $ 0 $ and $ 6 $ . | 2 |
| 2793 | Find the polynomial having roots at $ 3 $ and $ -2 $ . | 2 |
| 2794 | Find the polynomial having roots at $ 2 $ , $ 9 $ and $ -3 $ . | 2 |
| 2795 | Find the polynomial having roots at $ -1 $ , $ 3 $ , $ -2 $ and $ 5 $ . | 2 |
| 2796 | Find the polynomial having roots at $ 7 $ , $ 2 $ and $ -3 $ . | 2 |
| 2797 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ 4 $ , $ 8 $ , $ 16 $ and $ 31 $ . | 2 |
| 2798 | Find the polynomial having roots at $ 3 $ , $ 6 $ , $ 9 $ , $ 12 $ , $ 15 $ and $ 18 $ . | 2 |
| 2799 | Find the polynomial having roots at $ -3 $ and $ 1 $ . | 2 |
| 2800 | Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ and $ -6 $ . | 2 |