Polynomial From Roots

(the database of solved problems)

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

Select category

ID	Problem	Count
2001	Find the polynomial having roots at $ 2 $ , $ 3 $ , $ 0 $ and $ -1 $ .	2
2002	Find the polynomial having roots at $ -6 $ and $ -3 $ .	2
2003	Find the polynomial having roots at $ -2 $ , $ 5 $ and $ 10 $ .	2
2004	Find the polynomial having roots at $ -1 $ , $ 2 $ and $ 3 $ .	2
2005	Find the polynomial having roots at $ 19 $ and $ 12 $ .	2
2006	Find the polynomial having roots at $ 17 $ and $ 3 $ .	2
2007	Find the polynomial having roots at $ 12 $ and $ 19 $ .	2
2008	Find the polynomial having roots at $ -3 $ and $ -13 $ .	2
2009	Find the polynomial having roots at $ 15 $ and $ 17 $ .	2
2010	Find the polynomial having roots at $ -1 $ , $ -2 $ , $ 2 $ and $ 3 $ .	2
2011	Find the polynomial having roots at $ 2 $ , $ -3 $ and $ -8 $ .	2
2012	Find the polynomial having roots at $ -6 $ , $ 0 $ and $ 6 $ .	2
2013	Find the polynomial having roots at $ \dfrac{ 7071 }{ 5000 } $ , $ -\dfrac{ 7071 }{ 5000 } $ and $ \dfrac{ 1 }{ 3 } $ .	2
2014	Find the polynomial having roots at $ 10 $ , $ 12 $ , $ 14 $ and $ \dfrac{ 9 }{ 2 } $ .	2
2015	Find the polynomial having roots at $ 4 $ , $ 2 $ , $ -4 $ and $ 4 $ .	2
2016	Find the polynomial having roots at $ 4 $ , $ 4 $ , $ 4 $ , $ 0 $ and $ 0 $ .	2
2017	Find the polynomial having roots at $ 3 $ , $ 0 $ , $ 1 $ and $ 5 $ .	2
2018	Find the polynomial having roots at $ -4 $ , $ 2 $ , $ 6 $ and $ 8 $ .	2
2019	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ -4 $ and $ -3 $ .	2
2020	Find the polynomial having roots at $ 2 $ and $ -3 $ .	2
2021	Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -3 $ and $ -2 $ .	2
2022	Find the polynomial having roots at $ 7 $ , $ 2 $ and $ -3 $ .	2
2023	Find the polynomial having roots at $ 2 $ , $ 3 $ and $ 5 $ .	2
2024	Find the polynomial having roots at $ -4 $ , $ -1 $ and $ 6 $ .	2
2025	Find the polynomial having roots at $ -1 $ , $ 0 $ , $ -4 $ , $ 0 $ , $ 2 $ and $ 0 $ .	2
2026	Find the polynomial having roots at $ -1 $ , $ 0 $ , $ -4 $ , $ 0 $ , $ 2 $ , $ 0 $ , $ 2 $ and $ 0 $ .	2
2027	Find the polynomial having roots at $ 2 $ , $ -2 $ and $ -5 $ .	2
2028	Find the polynomial having roots at $ -1 $ , $ -3 $ and $ -5 $ .	2
2029	Find the polynomial having roots at $ 1 $ , $ -9 $ and $ -2 $ .	2
2030	Find the polynomial having roots at $ -3 $ , $ 2 $ , $ 4 $ and $ 0 $ .	2
2031	Find the polynomial having roots at $ 1 $ , $ 0 $ , $ 2 $ and $ -1 $ .	2
2032	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 3 $ and $ -3 $ .	2
2033	Find the polynomial having roots at $ 3 $ , $ -3 $ , $ 4 $ and $ 2 $ .	2
2034	Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -3 $ and $ -5 $ .	2
2035	Find the polynomial having roots at $ 15 $ , $ 30 $ , $ 45 $ , $ 75 $ and $ 100 $ .	2
2036	Find the polynomial having roots at $ 0 $ and $ \dfrac{ 37 }{ 10 } $ .	2
2037	Find the polynomial having roots at $ 2 $ , $ 3 $ and $ 3 $ .	2
2038	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ \dfrac{ 1 }{ 2 } $ and $ 2 $ .	2
2039	Find the polynomial having roots at $ 0 $ , $ -1 $ , $ 2 $ , $ \dfrac{ 3 }{ 4 } $ and $ \dfrac{ 3 }{ 4 } $ .	2
2040	Find the polynomial having roots at $ 7 $ , $ 7 $ , $ -2 $ , $ -2 $ and $ -2 $ .	2
2041	Find the polynomial having roots at $ 0 $ , $ 8 $ , $ 3 $ , $ 7 $ and $ -1 $ .	2
2042	Find the polynomial having roots at $ 2 $ , $ 3 $ and $ -1 $ .	2
2043	Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ and $ -3 $ .	2
2044	Find the polynomial having roots at $ -\dfrac{ 3 }{ 5 } $ and $ \dfrac{ 2 }{ 3 } $ .	2
2045	Find the polynomial having roots at $ -\dfrac{ 1 }{ 3 } $ , $ 0 $ and $ \dfrac{ 3 }{ 4 } $ .	2
2046	Find the polynomial having roots at $ 0 $ , $ 0 $ and $ 13 $ .	2
2047	Find the polynomial having roots at $ 9 $ , $ 8 $ , $ 1 $ and $ 0 $ .	2
2048	Find the polynomial having roots at $ \dfrac{ 7 }{ 4 } $ .	2
2049	Find the polynomial having roots at $ 2022 $ .	2
2050	Find the polynomial having roots at $ 723 $ .	2