Polynomial From Roots
(the database of solved problems)
All the problems and solutions shown below were generated using the Polynomial From Roots Calculator.
| ID |
Problem |
Count |
| 1951 | Find the polynomial having roots at $ -1 $ , $ 3 $ , $ -4 $ and $ 5 $ . | 2 |
| 1952 | Find the polynomial having roots at $ 2 $ , $ -3 $ , $ 6 $ and $ -4 $ . | 2 |
| 1953 | Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ -\dfrac{ 1 }{ 3 } $ and $ -1 $ . | 2 |
| 1954 | Find the polynomial having roots at $ -2 $ , $ -\dfrac{ 1 }{ 2 } $ and $ 4 $ . | 2 |
| 1955 | Find the polynomial having roots at $ -7 $ , $ -5 $ , $ 3 $ , $ 4 $ and $ 5 $ . | 2 |
| 1956 | Find the polynomial having roots at $ 1 $ , $ -2 $ , $ \dfrac{ 3 }{ 5 } $ , $ 2 $ , $ -\dfrac{ 2 }{ 3 } $ and $ 3 $ . | 2 |
| 1957 | Find the polynomial having roots at $ \dfrac{ 1 }{ 2 } $ , $ 4 $ and $ -2 $ . | 2 |
| 1958 | Find the polynomial having roots at $ -3 $ , $ -3 $ and $ 1 $ . | 2 |
| 1959 | Find the polynomial having roots at $ 2 $ , $ 2 $ and $ 2 $ . | 2 |
| 1960 | Find the polynomial having roots at $ -6 $ , $ -\dfrac{ 3 }{ 2 } $ and $ 2 $ . | 2 |
| 1961 | Find the polynomial having roots at $ -\dfrac{ 3 }{ 2 } $ and $ 4 $ . | 2 |
| 1962 | Find the polynomial having roots at $ \dfrac{ 3 }{ 2 } $ , $ -5 $ and $ -1 $ . | 2 |
| 1963 | Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ , $ -6 $ , $ 2 $ and $ 2 $ . | 2 |
| 1964 | Find the polynomial having roots at $ -4 $ , $ -\dfrac{ 5 }{ 2 } $ and $ 2 $ . | 2 |
| 1965 | Find the polynomial having roots at $ -\dfrac{ 3 }{ 2 } $ , $ \dfrac{ 5 }{ 3 } $ and $ -4 $ . | 2 |
| 1966 | Find the polynomial having roots at $ -\dfrac{ 5 }{ 6 } $ , $ 2 $ and $ 5 $ . | 2 |
| 1967 | Find the polynomial having roots at $ 3 $ , $ 5 $ and $ -4 $ . | 2 |
| 1968 | Find the polynomial having roots at $ 1 $ , $ 7 $ and $ -4 $ . | 2 |
| 1969 | Find the polynomial having roots at $ 2 $ , $ 6 $ and $ -6 $ . | 2 |
| 1970 | Find the polynomial having roots at $ 2 $ , $ -5 $ and $ -1 $ . | 2 |
| 1971 | Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ , $ 6 $ and $ -3 $ . | 2 |
| 1972 | Find the polynomial having roots at $ -1 $ , $ 2 $ and $ 0 $ . | 2 |
| 1973 | Find the polynomial having roots at $ 2 $ , $ 8 $ and $ -2 $ . | 2 |
| 1974 | Find the polynomial having roots at $ -1 $ , $ 8 $ and $ -2 $ . | 2 |
| 1975 | Find the polynomial having roots at $ 2 $ , $ 4 $ and $ 5 $ . | 2 |
| 1976 | Find the polynomial having roots at $ -1 $ , $ 9 $ and $ -4 $ . | 2 |
| 1977 | Find the polynomial having roots at $ -1 $ , $ 2 $ , $ 3 $ and $ 8 $ . | 2 |
| 1978 | Find the polynomial having roots at $ 2 $ , $ 3 $ and $ -9 $ . | 2 |
| 1979 | Find the polynomial having roots at $ -1 $ , $ 1 $ , $ -8 $ and $ -2 $ . | 2 |
| 1980 | Find the polynomial having roots at $ -1 $ , $ 0 $ , $ 5 $ and $ -8 $ . | 2 |
| 1981 | Find the polynomial having roots at $ -2 $ , $ -1 $ and $ 1 $ . | 2 |
| 1982 | Find the polynomial having roots at $ -3 $ , $ -2 $ , $ 1 $ and $ 4 $ . | 2 |
| 1983 | Find the polynomial having roots at $ -6 $ , $ -3 $ , $ 2 $ and $ 5 $ . | 2 |
| 1984 | Find the polynomial having roots at $ -2 $ , $ 5 $ and $ 10 $ . | 2 |
| 1985 | Find the polynomial having roots at $ 3 $ , $ 4 $ , $ -2 $ and $ -\dfrac{ 1 }{ 2 } $ . | 2 |
| 1986 | Find the polynomial having roots at $ -\dfrac{ 1 }{ 2 } $ , $ -2 $ , $ 3 $ and $ 5 $ . | 2 |
| 1987 | Find the polynomial having roots at $ -1 $ , $ 2 $ and $ 2 $ . | 2 |
| 1988 | Find the polynomial having roots at $ -5 $ , $ -3 $ , $ \dfrac{ 1 }{ 2 } $ and $ 4 $ . | 2 |
| 1989 | Find the polynomial having roots at $ 7 $ , $ 4 $ , $ \dfrac{ 1 }{ 7 } $ and $ \dfrac{ 7 }{ 6 } $ . | 2 |
| 1990 | Find the polynomial having roots at $ 1 $ , $ 8 $ , $ -\dfrac{ 1 }{ 8 } $ and $ -\dfrac{ 1 }{ 5 } $ . | 2 |
| 1991 | Find the polynomial having roots at $ 11 $ , $ -11 $ , $ \dfrac{ 1 }{ 9 } $ and $ -\dfrac{ 1 }{ 8 } $ . | 2 |
| 1992 | Find the polynomial having roots at $ -9 $ , $ -11 $ , $ -20 $ and $ -1 $ . | 2 |
| 1993 | Find the polynomial having roots at $ 4 $ , $ 30 $ , $ \dfrac{ 1 }{ 8 } $ and $ 3 $ . | 2 |
| 1994 | Find the polynomial having roots at $ -6 $ , $ -1 $ , $ 0 $ , $ 1 $ and $ 6 $ . | 2 |
| 1995 | Find the polynomial having roots at $ 3 $ , $ 9 $ , $ 2 $ and $ 9 $ . | 2 |
| 1996 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ -2 $ , $ 1 $ , $ 0 $ , $ 3 $ and $ -1 $ . | 2 |
| 1997 | Find the polynomial having roots at $ 2 $ , $ 2 $ , $ \dfrac{ 1 }{ 2 } $ and $ 3 $ . | 2 |
| 1998 | Find the polynomial having roots at $ \dfrac{ 3 }{ 2 } $ , $ -2 $ , $ -2 $ , $ 1 $ , $ 3 $ and $ 4 $ . | 2 |
| 1999 | Find the polynomial having roots at $ 1 $ , $ 1 $ , $ 1 $ and $ -\dfrac{ 5 }{ 2 } $ . | 2 |
| 2000 | Find the polynomial having roots at $ 4 $ and $ -7 $ . | 2 |
