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 |
| 2651 | Find the polynomial having roots at $ 5 $ , $ -2 $ and $ 3 $ . | 2 |
| 2652 | Find the polynomial having roots at $ 4 $ , $ 4 $ and $ -2 $ . | 2 |
| 2653 | Find the polynomial having roots at $ 0 $ , $ 0 $ , $ -7 $ , $ -7 $ , $ -7 $ , $ 7 $ , $ 7 $ , $ 7 $ , $ -1 $ and $ -1 $ . | 2 |
| 2654 | Find the polynomial having roots at $ -5 $ , $ 3 $ , $ 5 $ and $ 5 $ . | 2 |
| 2655 | Find the polynomial having roots at $ -2 $ , $ -2 $ and $ 5 $ . | 2 |
| 2656 | Find the polynomial having roots at $ -3 $ , $ -2 $ and $ 5 $ . | 2 |
| 2657 | Find the polynomial having roots at $ -1 $ , $ 3 $ and $ 7 $ . | 2 |
| 2658 | Find the polynomial having roots at $ -3 $ , $ -1 $ , $ 0 $ and $ 11 $ . | 2 |
| 2659 | Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -1 $ and $ 1 $ . | 2 |
| 2660 | Find the polynomial having roots at $ -2 $ , $ 2 $ , $ 1 $ and $ -1 $ . | 2 |
| 2661 | Find the polynomial having roots at $ -4 $ , $ -9 $ , $ 8 $ and $ 0 $ . | 2 |
| 2662 | Find the polynomial having roots at $ -9 $ , $ 0 $ and $ 8 $ . | 2 |
| 2663 | Find the polynomial having roots at $ -2 $ and $ 4 $ . | 2 |
| 2664 | Find the polynomial having roots at $ 2 $ and $ 0 $ . | 2 |
| 2665 | Find the polynomial having roots at $ 2 $ , $ 0 $ , $ -3 $ , $ 0 $ , $ -1 $ , $ 0 $ , $ -2 $ and $ 0 $ . | 2 |
| 2666 | Find the polynomial having roots at $ 2 $ , $ 0 $ , $ -3 $ , $ 0 $ , $ -1 $ , $ 0 $ , $ 4 $ and $ 0 $ . | 2 |
| 2667 | Find the polynomial having roots at $ 2 $ , $ 0 $ , $ 3 $ , $ 0 $ , $ -1 $ , $ 0 $ , $ 5 $ and $ 0 $ . | 2 |
| 2668 | Find the polynomial having roots at $ -2 $ , $ 0 $ , $ -3 $ , $ 0 $ , $ -6 $ , $ 0 $ , $ 5 $ , $ 0 $ , $ -1 $ and $ 0 $ . | 2 |
| 2669 | Find the polynomial having roots at $ 3 $ , $ 0 $ , $ -4 $ , $ 0 $ , $ -4 $ and $ 0 $ . | 2 |
| 2670 | Find the polynomial having roots at $ 8 $ , $ 0 $ , $ -4 $ , $ 0 $ , $ -4 $ , $ 0 $ , $ 2 $ , $ 0 $ , $ 1 $ , $ 0 $ , $ -3 $ and $ 0 $ . | 2 |
| 2671 | Find the polynomial having roots at $ -5 $ , $ -5 $ , $ -5 $ , $ 0 $ and $ 4 $ . | 2 |
| 2672 | Find the polynomial having roots at $ 2 $ , $ 4 $ and $ 8 $ . | 2 |
| 2673 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 3 $ , $ -3 $ , $ \dfrac{ 2 }{ 5 } $ , $ -\dfrac{ 2 }{ 5 } $ , $ 2 $ and $ 4 $ . | 2 |
| 2674 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 3 $ , $ -3 $ , $ \dfrac{ 2 }{ 3 } $ , $ -\dfrac{ 2 }{ 3 } $ , $ 2 $ and $ 4 $ . | 2 |
| 2675 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 3 $ , $ 3 $ , $ \dfrac{ 2 }{ 3 } $ , $ -\dfrac{ 2 }{ 3 } $ , $ 2 $ and $ 4 $ . | 2 |
| 2676 | Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 3 $ , $ 3 $ , $ -\dfrac{ 2 }{ 3 } $ , $ 2 $ and $ -3 $ . | 2 |
| 2677 | Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ , $ \dfrac{ 2 }{ 3 } $ , $ -1 $ , $ 1 $ , $ -2 $ , $ 2 $ , $ \dfrac{ 1 }{ 2 } $ and $ \dfrac{ 1 }{ 3 } $ . | 2 |
| 2678 | Find the polynomial having roots at $ -5 $ , $ 2 $ , $ 2 $ and $ 4 $ . | 2 |
| 2679 | Find the polynomial having roots at $ -5 $ , $ 2 $ , $ 2 $ and $ 6 $ . | 2 |
| 2680 | Find the polynomial having roots at $ 2 $ , $ 8 $ and $ -4 $ . | 2 |
| 2681 | Find the polynomial having roots at $ 1 $ , $ 4 $ and $ -6 $ . | 2 |
| 2682 | Find the polynomial having roots at $ 555 $ and $ 5555 $ . | 2 |
| 2683 | Find the polynomial having roots at $ -2 $ , $ 1 $ and $ -1 $ . | 2 |
| 2684 | Find the polynomial having roots at $ 2 $ , $ -1 $ and $ -2 $ . | 2 |
| 2685 | Find the polynomial having roots at $ 0 $ , $ 9 $ and $ -3 $ . | 2 |
| 2686 | Find the polynomial having roots at $ 2 $ and $ 2 $ . | 2 |
| 2687 | Find the polynomial having roots at $ \dfrac{ 3 }{ 2 } $ , $ -1 $ and $ \dfrac{ 1 }{ 2 } $ . | 2 |
| 2688 | Find the polynomial having roots at $ -1 $ , $ 5 $ and $ -2 $ . | 2 |
| 2689 | Find the polynomial having roots at $ 3 $ , $ -4 $ and $ -5 $ . | 2 |
| 2690 | Find the polynomial having roots at $ 3 $ , $ 0 $ and $ -4 $ . | 2 |
| 2691 | Find the polynomial having roots at $ -3 $ , $ -5 $ and $ 3 $ . | 2 |
| 2692 | Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ , $ \dfrac{ 4 }{ 5 } $ and $ 0 $ . | 2 |
| 2693 | Find the polynomial having roots at $ 5 $ , $ \dfrac{ 1 }{ 3 } $ and $ -\dfrac{ 4 }{ 3 } $ . | 2 |
| 2694 | Find the polynomial having roots at $ \dfrac{ 3581 }{ 500 } $ and $ \dfrac{ 419 }{ 500 } $ . | 2 |
| 2695 | Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ -3 $ and $ 0 $ . | 2 |
| 2696 | Find the polynomial having roots at $ 2 $ , $ 3 $ , $ 5 $ , $ 7 $ and $ 1 $ . | 2 |
| 2697 | Find the polynomial having roots at $ 0 $ and $ 12 $ . | 2 |
| 2698 | Find the polynomial having roots at $ 2 $ , $ 4 $ and $ -4 $ . | 2 |
| 2699 | Find the polynomial having roots at $ 1 $ , $ 29 $ and $ 2008 $ . | 2 |
| 2700 | Find the polynomial having roots at $ -2 $ , $ 2 $ and $ 6 $ . | 2 |