Polynomial From Roots

(the database of solved problems)

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

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ID	Problem	Count
2001	Find the polynomial having roots at $ 2 $ , $ -8 $ , $ -3 $ and $ -2 $ .	2
2002	Find the polynomial having roots at $ -\dfrac{ 5 }{ 3 } $ , $ \dfrac{ 3 }{ 5 } $ and $ 3 $ .	2
2003	Find the polynomial having roots at $ -4 $ , $ 5 $ , $ 0 $ and $ -1 $ .	2
2004	Find the polynomial having roots at $ 8 $ , $ -4 $ and $ \dfrac{ 3 }{ 2 } $ .	2
2005	Find the polynomial having roots at $ 3 $ , $ 4 $ and $ -\dfrac{ 3 }{ 2 } $ .	2
2006	Find the polynomial having roots at $ -9 $ , $ -8 $ and $ -\dfrac{ 1 }{ 2 } $ .	2
2007	Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ , $ -10 $ and $ \dfrac{ 7 }{ 2 } $ .	2
2008	Find the polynomial having roots at $ -2 $ , $ 4 $ and $ \dfrac{ 5 }{ 4 } $ .	2
2009	Find the polynomial having roots at $ 4 $ , $ 3 $ and $ -3 $ .	2
2010	Find the polynomial having roots at $ 0 $ .	2
2011	Find the polynomial having roots at $ 8 $ , $ \dfrac{ 12111 }{ 20000 } $ and $ -\dfrac{ 1321 }{ 200 } $ .	2
2012	Find the polynomial having roots at $ -1 $ and $ -4 $ .	2
2013	Find the polynomial having roots at $ 0 $ , $ 2 $ , $ 2 $ and $ -5 $ .	2
2014	Find the polynomial having roots at $ -4 $ .	2
2015	Find the polynomial having roots at $ -2 $ , $ 0 $ and $ 3 $ .	2
2016	Find the polynomial having roots at $ -79 $ , $ 52 $ , $ 16 $ , $ \dfrac{ 1 }{ 63 } $ , $ 29 $ , $ 69 $ and $ 101 $ .	2
2017	Find the polynomial having roots at $ 1 $ , $ -1 $ and $ \dfrac{ 373 }{ 100 } $ .	2
2018	Find the polynomial having roots at $ -3 $ , $ 0 $ and $ 8 $ .	2
2019	Find the polynomial having roots at $ 4 $ and $ \dfrac{ 1 }{ 3 } $ .	2
2020	Find the polynomial having roots at $ 12 $ and $ -5 $ .	2
2021	Find the polynomial having roots at $ -13 $ and $ \dfrac{ 5 }{ 7 } $ .	2
2022	Find the polynomial having roots at $ \dfrac{ 2 }{ 7 } $ and $ \dfrac{ 1 }{ 9 } $ .	2
2023	Find the polynomial having roots at $ 7 $ and $ -15 $ .	2
2024	Find the polynomial having roots at $ 8 $ and $ -\dfrac{ 5 }{ 9 } $ .	2
2025	Find the polynomial having roots at $ 7 $ , $ 2 $ , $ -1 $ , $ 0 $ and $ 6 $ .	2
2026	Find the polynomial having roots at $ 8 $ , $ 6 $ , $ 0 $ and $ -4 $ .	2
2027	Find the polynomial having roots at $ -5 $ , $ 2 $ , $ -9 $ and $ 7 $ .	2
2028	Find the polynomial having roots at $ 6 $ , $ -5 $ and $ 0 $ .	2
2029	Find the polynomial having roots at $ -1 $ , $ 2 $ , $ -3 $ and $ 4 $ .	2
2030	Find the polynomial having roots at $ -2 $ , $ 5 $ , $ 6 $ and $ -10 $ .	2
2031	Find the polynomial having roots at $ 2 $ , $ -4 $ , $ -6 $ and $ -8 $ .	2
2032	Find the polynomial having roots at $ -1 $ , $ 1 $ , $ 3 $ , $ -4 $ , $ 5 $ and $ -8 $ .	2
2033	Find the polynomial having roots at $ -3 $ and $ 5 $ .	2
2034	Find the polynomial having roots at $ -4 $ , $ -4 $ , $ -6 $ and $ 7 $ .	2
2035	Find the polynomial having roots at $ 1 $ , $ 1 $ , $ -2 $ , $ -4 $ and $ 6 $ .	2
2036	Find the polynomial having roots at $ -1 $ , $ -1 $ , $ 2 $ , $ -3 $ , $ 4 $ and $ -5 $ .	2
2037	Find the polynomial having roots at $ 14 $ and $ 1 $ .	2
2038	Find the polynomial having roots at $ 1 $ , $ -8 $ and $ 0 $ .	2
2039	Find the polynomial having roots at $ -4 $ , $ 3 $ and $ 7 $ .	2
2040	Find the polynomial having roots at $ -2 $ , $ 2 $ , $ 7 $ and $ \dfrac{ 3 }{ 5 } $ .	2
2041	Find the polynomial having roots at $ -37 $ , $ -9 $ , $ -4 $ , $ 5 $ , $ 6 $ , $ 17 $ , $ 44 $ and $ 58 $ .	2
2042	Find the polynomial having roots at $ 2 $ , $ -\dfrac{ 1 }{ 2 } $ and $ -3 $ .	2
2043	Find the polynomial having roots at $ -4 $ , $ 2 $ and $ 4 $ .	2
2044	Find the polynomial having roots at $ 5 $ , $ -5 $ and $ -2 $ .	2
2045	Find the polynomial having roots at $ \dfrac{ 3 }{ 2 } $ , $ 3 $ and $ -\dfrac{ 4 }{ 3 } $ .	2
2046	Find the polynomial having roots at $ -2 $ , $ \dfrac{ 1 }{ 4 } $ and $ 2 $ .	2
2047	Find the polynomial having roots at $ 4 $ , $ 1 $ and $ -\dfrac{ 2 }{ 3 } $ .	2
2048	Find the polynomial having roots at $ 3 $ , $ -\dfrac{ 1 }{ 3 } $ and $ -\dfrac{ 5 }{ 3 } $ .	2
2049	Find the polynomial having roots at $ -\dfrac{ 3 }{ 4 } $ , $ \dfrac{ 4 }{ 3 } $ and $ \dfrac{ 4 }{ 5 } $ .	2
2050	Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ and $ -2 $ .	2