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
1901	Find the polynomial having roots at $ 8 $ , $ -6 $ , $ -4 $ and $ 7 $ .	2
1902	Find the polynomial having roots at $ 2 $ , $ 5 $ and $ -7 $ .	2
1903	Find the polynomial having roots at $ -1 $ , $ 0 $ , $ 2 $ and $ -9 $ .	2
1904	Find the polynomial having roots at $ -1 $ , $ 0 $ , $ 3 $ and $ 4 $ .	2
1905	Find the polynomial having roots at $ -1 $ and $ 0 $ .	2
1906	Find the polynomial having roots at $ -4 $ , $ 1 $ and $ 1 $ .	2
1907	Find the polynomial having roots at $ -3 $ , $ 0 $ , $ 1 $ and $ 2 $ .	2
1908	Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ , $ \dfrac{ 2 }{ 5 } $ , $ \dfrac{ 5 }{ 2 } $ , $ -3 $ , $ -6 $ , $ 3 $ and $ -1 $ .	2
1909	Find the polynomial having roots at $ -3 $ , $ 7 $ , $ 3 $ , $ -1 $ , $ 4 $ , $ -3 $ and $ -\dfrac{ 1 }{ 2 } $ .	2
1910	Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ \dfrac{ 5 }{ 2 } $ , $ -3 $ , $ 7 $ , $ -3 $ , $ -2 $ and $ \dfrac{ 1 }{ 2 } $ .	2
1911	Find the polynomial having roots at $ 3 $ , $ -1 $ , $ 4 $ , $ -2 $ , $ -\dfrac{ 3 }{ 2 } $ , $ -\dfrac{ 3 }{ 2 } $ and $ -2 $ .	2
1912	Find the polynomial having roots at $ 0 $ , $ 1 $ , $ -1 $ and $ 3 $ .	2
1913	Find the polynomial having roots at $ -3 $ , $ 1 $ and $ 1 $ .	2
1914	Find the polynomial having roots at $ -1 $ , $ 2 $ , $ -2 $ , $ 5 $ and $ -6 $ .	2
1915	Find the polynomial having roots at $ 2 $ , $ \dfrac{ 2 }{ 3 } $ and $ -1 $ .	2
1916	Find the polynomial having roots at $ -\dfrac{ 23 }{ 3 } $ , $ \dfrac{ 2 }{ 3 } $ and $ 9 $ .	2
1917	Find the polynomial having roots at $ -2 $ , $ 2 $ , $ -\dfrac{ 1 }{ 3 } $ , $ \dfrac{ 2 }{ 7 } $ and $ 3 $ .	2
1918	Find the polynomial having roots at $ -6 $ , $ 4 $ and $ 4 $ .	2
1919	Find the polynomial having roots at $ 3 $ , $ -3 $ and $ 2 $ .	2
1920	Find the polynomial having roots at $ 3 $ , $ -3 $ and $ 2 $ .	2
1921	Find the polynomial having roots at $ \dfrac{ 9 }{ 2 } $ and $ 6 $ .	2
1922	Find the polynomial having roots at $ 3 $ , $ 5 $ and $ -2 $ .	2
1923	Find the polynomial having roots at $ 6 $ and $ -2 $ .	2
1924	Find the polynomial having roots at $ 0 $ , $ 9 $ and $ -2 $ .	2
1925	Find the polynomial having roots at $ 0 $ , $ -6 $ and $ -4 $ .	2
1926	Find the polynomial having roots at $ -1 $ , $ 1 $ and $ -3 $ .	2
1927	Find the polynomial having roots at $ 2 $ , $ -3 $ and $ 2 $ .	2
1928	Find the polynomial having roots at $ 6 $ , $ -5 $ and $ -2 $ .	2
1929	Find the polynomial having roots at $ 3 $ , $ -5 $ and $ -4 $ .	2
1930	Find the polynomial having roots at $ -3 $ and $ -1 $ .	2
1931	Find the polynomial having roots at $ -1 $ , $ 2 $ and $ -6 $ .	2
1932	Find the polynomial having roots at $ 0 $ , $ -4 $ , $ -5 $ and $ 1 $ .	2
1933	Find the polynomial having roots at $ 5 $ , $ 20 $ and $ -10 $ .	2
1934	Find the polynomial having roots at $ 5 $ and $ -20 $ .	2
1935	Find the polynomial having roots at $ -2 $ and $ -24 $ .	2
1936	Find the polynomial having roots at $ -2 $ , $ -2 $ and $ 4 $ .	2
1937	Find the polynomial having roots at $ 0 $ , $ 4 $ and $ 5 $ .	2
1938	Find the polynomial having roots at $ 3 $ and $ -\dfrac{ 12 }{ 5 } $ .	2
1939	Find the polynomial having roots at $ 3 $ and $ 17 $ .	2
1940	Find the polynomial having roots at $ -1 $ , $ 3 $ and $ 0 $ .	2
1941	Find the polynomial having roots at $ -4 $ , $ 4 $ and $ 9 $ .	2
1942	Find the polynomial having roots at $ 1 $ , $ 0 $ , $ -2 $ and $ -1 $ .	2
1943	Find the polynomial having roots at $ -9 $ , $ 1 $ and $ 0 $ .	2
1944	Find the polynomial having roots at $ 930 $ and $ 1345 $ .	2
1945	Find the polynomial having roots at $ -5 $ , $ 1 $ , $ -1 $ and $ 2 $ .	2
1946	Find the polynomial having roots at $ 0 $ , $ -3 $ and $ -6 $ .	2
1947	Find the polynomial having roots at $ 8 $ , $ -9 $ , $ 9 $ and $ 0 $ .	2
1948	Find the polynomial having roots at $ \dfrac{ 2 }{ 5 } $ and $ -\dfrac{ 1 }{ 3 } $ .	2
1949	Find the polynomial having roots at $ \dfrac{ 7 }{ 5 } $ , $ -\dfrac{ 7 }{ 5 } $ , $ 1 $ and $ -1 $ .	2
1950	Find the polynomial having roots at $ 4 $ , $ -2 $ and $ -2 $ .	2