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
1901	Find the polynomial having roots at $ -8 $ , $ -2 $ and $ -2 $ .	2
1902	Find the polynomial having roots at $ -8 $ , $ 9 $ , $ -4 $ and $ -9 $ .	2
1903	Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ , $ -\dfrac{ 1 }{ 2 } $ and $ -1 $ .	2
1904	Find the polynomial having roots at $ 2 $ and $ 5 $ .	2
1905	Find the polynomial having roots at $ 2 $ , $ -1 $ , $ 2 $ and $ -3 $ .	2
1906	Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ 2 $ , $ -3 $ and $ -\dfrac{ 3 }{ 2 } $ .	2
1907	Find the polynomial having roots at $ 0 $ , $ 3 $ and $ -1 $ .	2
1908	Find the polynomial having roots at $ 3 $ and $ -6 $ .	2
1909	Find the polynomial having roots at $ 1 $ , $ 8 $ and $ -6 $ .	2
1910	Find the polynomial having roots at $ 8 $ , $ -5 $ and $ -2 $ .	2
1911	Find the polynomial having roots at $ 2 $ , $ -6 $ and $ -2 $ .	2
1912	Find the polynomial having roots at $ 1 $ , $ 3 $ , $ 8 $ and $ -2 $ .	2
1913	Find the polynomial having roots at $ -2 $ , $ 1 $ and $ -6 $ .	2
1914	Find the polynomial having roots at $ 1 $ , $ 2 $ , $ -\dfrac{ 1 }{ 4 } $ and $ -1 $ .	2
1915	Find the polynomial having roots at $ 9 $ and $ 5 $ .	2
1916	Find the polynomial having roots at $ -14 $ and $ -4 $ .	2
1917	Find the polynomial having roots at $ -6 $ , $ 2 $ and $ 3 $ .	2
1918	Find the polynomial having roots at $ 0 $ , $ 4 $ and $ -3 $ .	2
1919	Find the polynomial having roots at $ 2 $ , $ 3 $ and $ 6 $ .	2
1920	Find the polynomial having roots at $ 0 $ , $ 1 $ , $ 2 $ and $ 4 $ .	2
1921	Find the polynomial having roots at $ -1 $ , $ 5 $ and $ -2 $ .	2
1922	Find the polynomial having roots at $ 4 $ , $ 6 $ and $ -4 $ .	2
1923	Find the polynomial having roots at $ -5 $ , $ 1 $ and $ 2 $ .	2
1924	Find the polynomial having roots at $ 4 $ , $ 5 $ and $ 9 $ .	2
1925	Find the polynomial having roots at $ 8 $ , $ 10 $ , $ -3 $ and $ -5 $ .	2
1926	Find the polynomial having roots at $ -2 $ and $ -12 $ .	2
1927	Find the polynomial having roots at $ -\dfrac{ 1449 }{ 5000 } $ and $ -\dfrac{ 1449 }{ 5000 } $ .	2
1928	Find the polynomial having roots at $ 3 $ , $ -2 $ , $ \dfrac{ 1 }{ 3 } $ and $ -\dfrac{ 1 }{ 2 } $ .	2
1929	Find the polynomial having roots at $ \dfrac{ 2 }{ 3 } $ and $ -\dfrac{ 5 }{ 7 } $ .	2
1930	Find the polynomial having roots at $ 9 $ , $ -9 $ and $ \dfrac{ 9 }{ 5 } $ .	2
1931	Find the polynomial having roots at $ -1 $ , $ -1 $ , $ 1 $ and $ -2 $ .	2
1932	Find the polynomial having roots at $ 0 $ , $ 1 $ and $ -1 $ .	2
1933	Find the polynomial having roots at $ 0 $ , $ 1 $ , $ -1 $ , $ 3 $ and $ 5 $ .	2
1934	Find the polynomial having roots at $ 3 $ , $ -4 $ , $ \dfrac{ 3 }{ 2 } $ and $ -5 $ .	2
1935	Find the polynomial having roots at $ -1 $ , $ -1 $ , $ 1 $ and $ 2 $ .	2
1936	Find the polynomial having roots at $ 1 $ , $ 2 $ , $ 1 $ , $ 2 $ , $ 2 $ , $ 2 $ and $ 2 $ .	2
1937	Find the polynomial having roots at $ -\dfrac{ 3 }{ 2 } $ and $ 5 $ .	2
1938	Find the polynomial having roots at $ -4 $ , $ 1 $ and $ 8 $ .	2
1939	Find the polynomial having roots at $ 2 $ .	2
1940	Find the polynomial having roots at $ -1 $ , $ -1 $ , $ -1 $ and $ -1 $ .	2
1941	Find the polynomial having roots at $ -7 $ , $ -2 $ , $ 0 $ and $ 4 $ .	2
1942	Find the polynomial having roots at $ 3 $ , $ 9 $ and $ -3 $ .	2
1943	Find the polynomial having roots at $ 0 $ , $ -2 $ and $ 2 $ .	2
1944	Find the polynomial having roots at $ -3 $ , $ 4 $ , $ 2 $ and $ -2 $ .	2
1945	Find the polynomial having roots at $ 2 $ , $ 1 $ and $ -3 $ .	2
1946	Find the polynomial having roots at $ 7 $ , $ 0 $ , $ 4 $ and $ 17 $ .	2
1947	Find the polynomial having roots at $ -2 $ , $ 1 $ , $ -5 $ and $ 3 $ .	2
1948	Find the polynomial having roots at $ 1 $ , $ 1 $ , $ 1 $ , $ 1 $ and $ 18 $ .	2
1949	Find the polynomial having roots at $ 9 $ , $ -1 $ , $ 1 $ and $ -1 $ .	2
1950	Find the polynomial having roots at $ 9 $ , $ 11 $ , $ 0 $ and $ 1 $ .	2