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
1951	Find the polynomial having roots at $ -2 $ , $ \dfrac{ 1 }{ 2 } $ and $ 1 $ .	2
1952	Find the polynomial having roots at $ -2 $ and $ \dfrac{ 1 }{ 2 } $ .	2
1953	Find the polynomial having roots at $ 15 $ and $ -\dfrac{ 1 }{ 5 } $ .	2
1954	Find the polynomial having roots at $ 1 $ , $ 1 $ , $ 0 $ and $ -1 $ .	2
1955	Find the polynomial having roots at $ 6 $ , $ 2 $ and $ 2 $ .	2
1956	Find the polynomial having roots at $ 1 $ , $ -3 $ , $ 2 $ and $ \dfrac{ 2 }{ 3 } $ .	2
1957	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ , $ -\dfrac{ 17 }{ 13 } $ and $ \dfrac{ 562251 }{ 1000000 } $ .	2
1958	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ , $ -\dfrac{ 17 }{ 13 } $ and $ \dfrac{ 14 }{ 25 } $ .	2
1959	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ , $ -\dfrac{ 17 }{ 13 } $ and $ \dfrac{ 1 }{ 2 } $ .	2
1960	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 13 } $ and $ -\dfrac{ 17 }{ 13 } $ .	2
1961	Find the polynomial having roots at $ 1 $ , $ \dfrac{ 10 }{ 7 } $ , $ -\dfrac{ 17 }{ 3 } $ and $ 1 $ .	2
1962	Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -3 $ and $ 2 $ .	2
1963	Find the polynomial having roots at $ 3 $ , $ -2 $ and $ 1 $ .	2
1964	Find the polynomial having roots at $ 2 $ , $ 4 $ , $ 6 $ , $ 12 $ and $ 217 $ .	2
1965	Find the polynomial having roots at $ 2 $ , $ 3 $ , $ 5 $ , $ 7 $ , $ 11 $ , $ 13 $ , $ 17 $ , $ 19 $ , $ 23 $ and $ 29 $ .	2
1966	Find the polynomial having roots at $ 3 $ , $ 5 $ , $ 7 $ , $ 11 $ , $ 13 $ , $ 17 $ , $ 19 $ , $ 23 $ , $ 25 $ and $ 29 $ .	2
1967	Find the polynomial having roots at $ 1 $ , $ 10 $ , $ 100 $ , $ 1000 $ and $ 1001 $ .	2
1968	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 2 $ and $ 3 $ .	2
1969	Find the polynomial having roots at $ 1 $ , $ -1 $ , $ 2 $ and $ 2 $ .	2
1970	Find the polynomial having roots at $ -\dfrac{ 4 }{ 5 } $ , $ \dfrac{ 2 }{ 3 } $ and $ 2 $ .	2
1971	Find the polynomial having roots at $ \dfrac{ 43 }{ 2 } $ and $ -\dfrac{ 13 }{ 4 } $ .	2
1972	Find the polynomial having roots at $ 34 $ .	2
1973	Find the polynomial having roots at $ -5 $ , $ 1 $ , $ 3 $ and $ -1 $ .	2
1974	Find the polynomial having roots at $ 2 $ , $ 3 $ and $ \dfrac{ 1 }{ 2 } $ .	2
1975	Find the polynomial having roots at $ -2 $ , $ -4 $ , $ 2 $ and $ 4 $ .	2
1976	Find the polynomial having roots at $ -2 $ , $ -4 $ , $ 6 $ and $ 8 $ .	2
1977	Find the polynomial having roots at $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ , $ 2 $ and $ 5 $ .	2
1978	Find the polynomial having roots at $ 1 $ , $ 8 $ , $ -3 $ , $ 7 $ and $ 0 $ .	2
1979	Find the polynomial having roots at $ -37 $ , $ -9 $ , $ -4 $ , $ 5 $ , $ 6 $ , $ 17 $ , $ 44 $ and $ 58 $ .	2
1980	Find the polynomial having roots at $ 4 $ , $ -2 $ and $ -1 $ .	2
1981	Find the polynomial having roots at $ -3 $ , $ 4 $ and $ 4 $ .	2
1982	Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ and $ -\dfrac{ 1 }{ 2 } $ .	2
1983	Find the polynomial having roots at $ 2 $ , $ 7 $ and $ -2 $ .	2
1984	Find the polynomial having roots at $ 0 $ , $ 5 $ and $ \dfrac{ 1 }{ 2 } $ .	2
1985	Find the polynomial having roots at $ 3 $ , $ 1 $ , $ 1 $ and $ -2 $ .	2
1986	Find the polynomial having roots at $ 2 $ , $ 6 $ , $ -7 $ , $ -8 $ and $ 151 $ .	2
1987	Find the polynomial having roots at $ 151 $ , $ 2 $ , $ 6 $ , $ -7 $ and $ -8 $ .	2
1988	Find the polynomial having roots at $ -5 $ , $ 2 $ and $ 3 $ .	2
1989	Find the polynomial having roots at $ -1 $ , $ \dfrac{ 2 }{ 3 } $ and $ 0 $ .	2
1990	Find the polynomial having roots at $ -2 $ , $ -1 $ and $ -\dfrac{ 3 }{ 2 } $ .	2
1991	Find the polynomial having roots at $ -4 $ , $ -1 $ and $ 5 $ .	2
1992	Find the polynomial having roots at $ -1 $ and $ 7 $ .	2
1993	Find the polynomial having roots at $ -6 $ and $ -8 $ .	2
1994	Find the polynomial having roots at $ 1 $ , $ 2 $ and $ 2 $ .	2
1995	Find the polynomial having roots at $ 6 $ , $ -1 $ and $ 12 $ .	2
1996	Find the polynomial having roots at $ -4 $ and $ -5 $ .	2
1997	Find the polynomial having roots at $ 0 $ , $ 4 $ and $ -2 $ .	2
1998	Find the polynomial having roots at $ -7 $ , $ -3 $ and $ -2 $ .	2
1999	Find the polynomial having roots at $ 0 $ , $ 1 $ and $ -6 $ .	2
2000	Find the polynomial having roots at $ 0 $ , $ 1 $ , $ 1 $ , $ -4 $ and $ -2 $ .	2