# Polynomial From Roots – Solved Problems Database

All the problems and solutions shown below were generated using the Polynomial From Roots Calculator.

ID |
Problem |
Count |

1 | Find the polynomial having roots at $ 2 $ , $ -\dfrac{ 1 }{ 2 } $ and $ \dfrac{ 5 }{ 3 } $ . | 130 |

2 | Find the polynomial having roots at $ 4 $ and $ -2 $ . | 38 |

3 | Find the polynomial having roots at $ 2 $ , $ -3 $ and $ -3 $ . | 28 |

4 | Find the polynomial having roots at $ 1 $ . | 25 |

5 | Find the polynomial having roots at $ 2 $ . | 20 |

6 | Find the polynomial having roots at $ 0 $ , $ -7 $ and $ -6 $ . | 19 |

7 | Find the polynomial having roots at $ -787 $ . | 18 |

8 | Find the polynomial having roots at $ 2 $ and $ 3 $ . | 17 |

9 | Find the polynomial having roots at $ 2024 $ . | 16 |

10 | Find the polynomial having roots at $ 2 $ , $ -7 $ and $ -4 $ . | 15 |

11 | Find the polynomial having roots at $ 1 $ , $ 2 $ and $ 3 $ . | 15 |

12 | Find the polynomial having roots at $ 2 $ and $ 8 $ . | 15 |

13 | Find the polynomial having roots at $ -3 $ , $ 5 $ and $ 3 $ . | 15 |

14 | Find the polynomial having roots at $ 2023 $ . | 15 |

15 | Find the polynomial having roots at $ 2025 $ . | 14 |

16 | Find the polynomial having roots at $ \dfrac{ 3 }{ 4 } $ , $ -3 $ and $ 2 $ . | 14 |

17 | Find the polynomial having roots at $ -3 $ , $ -1 $ and $ 2 $ . | 13 |

18 | Find the polynomial having roots at $ 3 $ and $ -3 $ . | 13 |

19 | Find the polynomial having roots at $ 7 $ and $ -7 $ . | 13 |

20 | Find the polynomial having roots at $ 0 $ , $ 1 $ and $ -5 $ . | 12 |

21 | Find the polynomial having roots at $ 3 $ . | 12 |

22 | Find the polynomial having roots at $ -1 $ , $ 2 $ and $ -4 $ . | 12 |

23 | Find the polynomial having roots at $ -8 $ and $ 1 $ . | 12 |

24 | Find the polynomial having roots at $ 3 $ , $ 7 $ and $ -4 $ . | 12 |

25 | Find the polynomial having roots at $ 1 $ and $ -1 $ . | 11 |

26 | Find the polynomial having roots at $ -9 $ and $ -8 $ . | 11 |

27 | Find the polynomial having roots at $ 0 $ and $ 1 $ . | 11 |

28 | Find the polynomial having roots at $ 6 $ and $ -8 $ . | 11 |

29 | Find the polynomial having roots at $ 0 $ and $ 8 $ . | 11 |

30 | Find the polynomial having roots at $ 0 $ and $ 3 $ . | 11 |

31 | Find the polynomial having roots at $ -1 $ , $ 0 $ and $ 2 $ . | 11 |

32 | Find the polynomial having roots at $ 4 $ and $ 9 $ . | 11 |

33 | Find the polynomial having roots at $ -1 $ , $ 0 $ and $ 6 $ . | 11 |

34 | Find the polynomial having roots at $ -2 $ . | 10 |

35 | Find the polynomial having roots at $ -3 $ , $ -2 $ and $ 3 $ . | 10 |

36 | Find the polynomial having roots at $ 5 $ . | 10 |

37 | Find the polynomial having roots at $ -2 $ and $ 2 $ . | 10 |

38 | Find the polynomial having roots at $ 0 $ , $ \dfrac{ 5 }{ 3 } $ and $ -\dfrac{ 1 }{ 4 } $ . | 10 |

39 | Find the polynomial having roots at $ -81 $ . | 10 |

40 | Find the polynomial having roots at $ 2 $ , $ -4 $ , $ \dfrac{ 3 }{ 2 } $ and $ -\dfrac{ 1 }{ 2 } $ . | 10 |

41 | Find the polynomial having roots at $ 4 $ , $ -5 $ and $ -2 $ . | 10 |

42 | Find the polynomial having roots at $ 2 $ , $ 4 $ and $ -8 $ . | 10 |

43 | Find the polynomial having roots at $ 8 $ , $ -3 $ and $ -2 $ . | 10 |

44 | Find the polynomial having roots at $ -1 $ and $ 9 $ . | 10 |

45 | Find the polynomial having roots at $ 3 $ and $ 8 $ . | 10 |

46 | Find the polynomial having roots at $ 1 $ , $ 5 $ and $ -3 $ . | 10 |

47 | Find the polynomial having roots at $ -8 $ , $ -1 $ , $ 0 $ , $ 1 $ and $ 8 $ . | 10 |

48 | Find the polynomial having roots at $ -3 $ and $ -9 $ . | 10 |

49 | Find the polynomial having roots at $ 3 $ , $ -8 $ and $ -4 $ . | 10 |

50 | Find the polynomial having roots at $ -2 $ , $ -2 $ , $ -2 $ and $ 3 $ . | 10 |