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 |
| 1801 | Find the polynomial having roots at $ -5 $ , $ 6 $ and $ 2 $ . | 2 |
| 1802 | Find the polynomial having roots at $ 1 $ , $ -2 $ and $ 0 $ . | 2 |
| 1803 | Find the polynomial having roots at $ \dfrac{ 5 }{ 2 } $ , $ \dfrac{ 1 }{ 2 } $ and $ -4 $ . | 2 |
| 1804 | Find the polynomial having roots at $ \dfrac{ 13 }{ 500 } $ , $ \dfrac{ 1 }{ 20 } $ , $ -\dfrac{ 13 }{ 500 } $ and $ -\dfrac{ 1 }{ 20 } $ . | 2 |
| 1805 | Find the polynomial having roots at $ -1 $ , $ 4 $ , $ -\dfrac{ 2 }{ 5 } $ , $ -2 $ , $ \dfrac{ 3 }{ 2 } $ , $ -3 $ and $ -2 $ . | 2 |
| 1806 | Find the polynomial having roots at $ 3 $ , $ -5 $ , $ -3 $ , $ \dfrac{ 3 }{ 2 } $ , $ -1 $ , $ 4 $ and $ -1 $ . | 2 |
| 1807 | Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ , $ -\dfrac{ 7 }{ 3 } $ , $ \dfrac{ 3 }{ 2 } $ , $ -1 $ , $ 7 $ , $ -1 $ and $ \dfrac{ 1 }{ 4 } $ . | 2 |
| 1808 | Find the polynomial having roots at $ 3 $ , $ -2 $ , $ \dfrac{ 3 }{ 2 } $ , $ -1 $ , $ \dfrac{ 3 }{ 2 } $ , $ -1 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 1809 | Find the polynomial having roots at $ -2 $ , $ 4 $ , $ -5 $ and $ 7 $ . | 2 |
| 1810 | Find the polynomial having roots at $ 10 $ , $ -2 $ and $ -3 $ . | 2 |
| 1811 | Find the polynomial having roots at $ -2 $ , $ -2 $ , $ 1 $ and $ 3 $ . | 2 |
| 1812 | Find the polynomial having roots at $ -1 $ , $ -1 $ , $ -1 $ and $ 2 $ . | 2 |
| 1813 | Find the polynomial having roots at $ -1 $ , $ -1 $ , $ 5 $ and $ 2 $ . | 2 |
| 1814 | Find the polynomial having roots at $ 3 $ , $ -4 $ , $ 6 $ and $ -1 $ . | 2 |
| 1815 | Find the polynomial having roots at $ \dfrac{ 13 }{ 2 } $ and $ \dfrac{ 3 }{ 2 } $ . | 2 |
| 1816 | Find the polynomial having roots at $ 13 $ and $ 19 $ . | 2 |
| 1817 | Find the polynomial having roots at $ 13 $ and $ -8 $ . | 2 |
| 1818 | Find the polynomial having roots at $ 3 $ , $ -2 $ and $ \dfrac{ 2 }{ 3 } $ . | 2 |
| 1819 | Find the polynomial having roots at $ \dfrac{ 1 }{ 6 } $ and $ \dfrac{ 5 }{ 7 } $ . | 2 |
| 1820 | Find the polynomial having roots at $ 0 $ , $ -2 $ and $ -9 $ . | 2 |
| 1821 | Find the polynomial having roots at $ 0 $ , $ -6 $ and $ 1 $ . | 2 |
| 1822 | Find the polynomial having roots at $ 1 $ and $ -2 $ . | 2 |
| 1823 | Find the polynomial having roots at $ -1 $ , $ 1 $ , $ 6 $ and $ -8 $ . | 2 |
| 1824 | Find the polynomial having roots at $ -1 $ , $ 2 $ , $ 3 $ and $ 5 $ . | 2 |
| 1825 | Find the polynomial having roots at $ -1 $ , $ 0 $ , $ -8 $ and $ -2 $ . | 2 |
| 1826 | Find the polynomial having roots at $ 6 $ , $ -3 $ , $ -4 $ , $ -5 $ , $ 6 $ , $ \dfrac{ 2 }{ 5 } $ and $ -\dfrac{ 1 }{ 4 } $ . | 2 |
| 1827 | Find the polynomial having roots at $ -\dfrac{ 3 }{ 2 } $ , $ -\dfrac{ 1 }{ 4 } $ , $ \dfrac{ 3 }{ 2 } $ , $ -1 $ , $ -\dfrac{ 1 }{ 2 } $ , $ \dfrac{ 3 }{ 2 } $ and $ -1 $ . | 2 |
| 1828 | Find the polynomial having roots at $ 3 $ , $ -2 $ , $ \dfrac{ 2 }{ 5 } $ , $ -5 $ , $ -3 $ , $ -4 $ and $ -\dfrac{ 3 }{ 2 } $ . | 2 |
| 1829 | Find the polynomial having roots at $ 3 $ , $ -2 $ , $ \dfrac{ 2 }{ 5 } $ , $ -5 $ , $ -3 $ , $ -1 $ and $ -\dfrac{ 3 }{ 2 } $ . | 2 |
| 1830 | Find the polynomial having roots at $ -1 $ , $ \dfrac{ 5 }{ 2 } $ , $ -1 $ , $ 1 $ , $ -2 $ , $ \dfrac{ 3 }{ 2 } $ and $ \dfrac{ 3 }{ 2 } $ . | 2 |
| 1831 | Find the polynomial having roots at $ 3 $ , $ -\dfrac{ 1 }{ 2 } $ , $ -\dfrac{ 3 }{ 2 } $ , $ \dfrac{ 5 }{ 2 } $ , $ -3 $ , $ -6 $ and $ 6 $ . | 2 |
| 1832 | Find the polynomial having roots at $ -\dfrac{ 3 }{ 2 } $ , $ -\dfrac{ 1 }{ 4 } $ , $ \dfrac{ 3 }{ 2 } $ , $ -2 $ , $ -6 $ , $ -\dfrac{ 7 }{ 3 } $ and $ -4 $ . | 2 |
| 1833 | Find the polynomial having roots at $ 4 $ , $ -3 $ , $ -\dfrac{ 3 }{ 2 } $ , $ -5 $ , $ \dfrac{ 3 }{ 2 } $ , $ -2 $ and $ -2 $ . | 2 |
| 1834 | Find the polynomial having roots at $ 2 $ , $ -3 $ , $ -2 $ , $ \dfrac{ 3 }{ 2 } $ , $ \dfrac{ 3 }{ 2 } $ , $ -2 $ and $ -\dfrac{ 2 }{ 5 } $ . | 2 |
| 1835 | Find the polynomial having roots at $ -6 $ , $ \dfrac{ 7 }{ 3 } $ , $ -2 $ , $ 6 $ , $ \dfrac{ 3 }{ 2 } $ , $ -1 $ and $ 4 $ . | 2 |
| 1836 | Find the polynomial having roots at $ -\dfrac{ 1 }{ 4 } $ , $ -1 $ , $ 4 $ , $ -2 $ , $ -\dfrac{ 2 }{ 5 } $ , $ -3 $ and $ -1 $ . | 2 |
| 1837 | Find the polynomial having roots at $ -1 $ , $ \dfrac{ 3 }{ 2 } $ , $ -2 $ , $ 7 $ , $ -3 $ , $ \dfrac{ 5 }{ 2 } $ and $ -1 $ . | 2 |
| 1838 | Find the polynomial having roots at $ 3 $ , $ -1 $ , $ 4 $ , $ -1 $ , $ -5 $ , $ \dfrac{ 3 }{ 2 } $ and $ -3 $ . | 2 |
| 1839 | Find the polynomial having roots at $ 0 $ , $ \dfrac{ 1 }{ 4 } $ and $ \dfrac{ 2 }{ 5 } $ . | 2 |
| 1840 | Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -4 $ and $ 8 $ . | 2 |
| 1841 | Find the polynomial having roots at $ -2 $ , $ 0 $ , $ 6 $ , $ 0 $ , $ 1 $ , $ 0 $ , $ -7 $ and $ 0 $ . | 2 |
| 1842 | Find the polynomial having roots at $ 6 $ , $ 5 $ and $ -2 $ . | 2 |
| 1843 | Find the polynomial having roots at $ 0 $ , $ 0 $ , $ 3 $ and $ 3 $ . | 2 |
| 1844 | Find the polynomial having roots at $ 4 $ and $ 3 $ . | 2 |
| 1845 | Find the polynomial having roots at $ -1 $ , $ -1 $ , $ -1 $ , $ -1 $ , $ -1 $ , $ -1 $ and $ -1 $ . | 2 |
| 1846 | Find the polynomial having roots at $ 2 $ , $ -3 $ , $ 5 $ , $ -7 $ , $ 11 $ , $ -13 $ and $ 17 $ . | 2 |
| 1847 | Find the polynomial having roots at $ 0 $ , $ 1 $ , $ 2 $ , $ 3 $ , $ 4 $ , $ 5 $ , $ 6 $ , $ 7 $ , $ 8 $ and $ 9 $ . | 2 |
| 1848 | Find the polynomial having roots at $ -4 $ , $ 0 $ and $ 6 $ . | 2 |
| 1849 | Find the polynomial having roots at $ -2 $ , $ -1 $ , $ 2 $ and $ 5 $ . | 2 |
| 1850 | Find the polynomial having roots at $ -4 $ , $ -1 $ , $ 2 $ and $ -14 $ . | 2 |
