Operations on polynomials
(the database of solved problems)
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
| ID |
Problem |
Count |
| 1951 | Subtract polynomials: $ \, \color{blue}{ 6x^2+10x-7 } \, $ , $ \, \color{orangered}{ -x^2-8x }$. | 1 |
| 1952 | Add $ \, \color{blue}{ 6x^2+10x-7 } \, $ and $ \, \color{orangered}{ -x^2-8x }$. | 1 |
| 1953 | Add $ \, \color{blue}{ -4x^2-8x } \, $ and $ \, \color{orangered}{ -x^2-6x+8 }$. | 1 |
| 1954 | Subtract polynomials: $ \, \color{blue}{ 4x^3-5x^2+6 } \, $ , $ \, \color{orangered}{ 3x^3-7x^2-5 }$. | 1 |
| 1955 | Multiply polynomial $ \, \color{blue}{ 2x+7 } \, $ by $ \, \color{orangered}{ 2x+7 }$. | 1 |
| 1956 | Add $ \, \color{blue}{ 5x+2 } \, $ and $ \, \color{orangered}{ 3x-7 }$. | 1 |
| 1957 | Subtract polynomials: $ \, \color{blue}{ x^4+2x^3-x+1 } \, $ , $ \, \color{orangered}{ 3x^4-x^3+2x-4 }$. | 1 |
| 1958 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x^2+3x+4 }$. | 1 |
| 1959 | Multiply polynomial $ \, \color{blue}{ x^2+1 } \, $ by $ \, \color{orangered}{ x^3-x+2 }$. | 1 |
| 1960 | Multiply polynomial $ \, \color{blue}{ 4x^3+3x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1961 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 1 |
| 1962 | Subtract polynomials: $ \, \color{blue}{ 3x^3-10x^2 } \, $ , $ \, \color{orangered}{ 4x^3-5x-6 }$. | 1 |
| 1963 | Add $ \, \color{blue}{ t^2-4t+t^4 } \, $ and $ \, \color{orangered}{ 3t^4+2t+6 }$. | 1 |
| 1964 | Add $ \, \color{blue}{ 3x^2-6x+1 } \, $ and $ \, \color{orangered}{ 9x^2-5x-4 }$. | 1 |
| 1965 | Subtract polynomials: $ \, \color{blue}{ 9x^2+3x-5 } \, $ , $ \, \color{orangered}{ 11x^2-5x+7 }$. | 1 |
| 1966 | Multiply polynomial $ \, \color{blue}{ 7x-6 } \, $ by $ \, \color{orangered}{ 9x+1 }$. | 1 |
| 1967 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 6x-8 }$. | 1 |
| 1968 | Multiply polynomial $ \, \color{blue}{ 4x^2-8 } \, $ by $ \, \color{orangered}{ -10x^2+2 }$. | 1 |
| 1969 | Multiply polynomial $ \, \color{blue}{ 4x^2-8 } \, $ by $ \, \color{orangered}{ -10x^2+2 }$. | 1 |
| 1970 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1971 | Multiply polynomial $ \, \color{blue}{ 2x^2 } \, $ by $ \, \color{orangered}{ 3x^3+6x }$. | 1 |
| 1972 | Add $ \, \color{blue}{ 3x^2+5x-7 } \, $ and $ \, \color{orangered}{ 4x^2-2x+9 }$. | 1 |
| 1973 | Add $ \, \color{blue}{ 3t^2-5+6 } \, $ and $ \, \color{orangered}{ -8t^2+7t-9 }$. | 1 |
| 1974 | Subtract polynomials: $ \, \color{blue}{ 8x^2-6x+2 } \, $ , $ \, \color{orangered}{ 3x^2+7x-4 }$. | 1 |
| 1975 | Subtract polynomials: $ \, \color{blue}{ 7w^2+4w-6 } \, $ , $ \, \color{orangered}{ w^2-11w+13 }$. | 1 |
| 1976 | Subtract polynomials: $ \, \color{blue}{ -2a^2+a+6 } \, $ , $ \, \color{orangered}{ -3a^2+2a-5 }$. | 1 |
| 1977 | Multiply polynomial $ \, \color{blue}{ m+8 } \, $ by $ \, \color{orangered}{ 2m^3+m^2+3m }$. | 1 |
| 1978 | Multiply polynomial $ \, \color{blue}{ x^2+4 } \, $ by $ \, \color{orangered}{ x^2-6 }$. | 1 |
| 1979 | Multiply polynomial $ \, \color{blue}{ 3c+2 } \, $ by $ \, \color{orangered}{ c^2-6c-4 }$. | 1 |
| 1980 | Subtract polynomials: $ \, \color{blue}{ 7x^2-30x } \, $ , $ \, \color{orangered}{ -4x^{27}-4 }$. | 1 |
| 1981 | Multiply polynomial $ \, \color{blue}{ x^2-3x-3 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 1 |
| 1982 | Add $ \, \color{blue}{ -5+4x } \, $ and $ \, \color{orangered}{ 3x+3 }$. | 1 |
| 1983 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1984 | Multiply polynomial $ \, \color{blue}{ -6x^4 } \, $ by $ \, \color{orangered}{ 9x-14x^3 }$. | 1 |
| 1985 | Multiply polynomial $ \, \color{blue}{ n+15 } \, $ by $ \, \color{orangered}{ 2n^2 }$. | 1 |
| 1986 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1987 | Multiply polynomial $ \, \color{blue}{ 2p^2-11p } \, $ by $ \, \color{orangered}{ 3p-4 }$. | 1 |
| 1988 | Multiply polynomial $ \, \color{blue}{ 3w^3-5w^2+4 } \, $ by $ \, \color{orangered}{ 2w^4-5 }$. | 1 |
| 1989 | Subtract polynomials: $ \, \color{blue}{ -7x^2-9x-2 } \, $ , $ \, \color{orangered}{ 2x^2-5x-2 }$. | 1 |
| 1990 | Subtract polynomials: $ \, \color{blue}{ -7x^2-9x-2 } \, $ , $ \, \color{orangered}{ 2x^2-5x-2 }$. | 1 |
| 1991 | Add $ \, \color{blue}{ -7x^2-9x-2 } \, $ and $ \, \color{orangered}{ 9x^2+4x }$. | 1 |
| 1992 | Add $ \, \color{blue}{ -7x^2-10 } \, $ and $ \, \color{orangered}{ -2x^2+9x+1 }$. | 1 |
| 1993 | Add $ \, \color{blue}{ -3x+5 } \, $ and $ \, \color{orangered}{ 6x^2-4x-6 }$. | 1 |
| 1994 | Add $ \, \color{blue}{ -11x^3+8x^2+6x+9 } \, $ and $ \, \color{orangered}{ 4x^3-4x^2-6 }$. | 1 |
| 1995 | Subtract polynomials: $ \, \color{blue}{ -11x^3 } \, $ , $ \, \color{orangered}{ -7x^2 }$. | 1 |
| 1996 | Add $ \, \color{blue}{ -7x^3+4x^2+6x+3 } \, $ and $ \, \color{orangered}{ -11x^3+8x^2+6x+9 }$. | 1 |
| 1997 | Add $ \, \color{blue}{ -5x^3+10x^2-3x+9 } \, $ and $ \, \color{orangered}{ -4x^3+6x^2+4x+1 }$. | 1 |
| 1998 | Add $ \, \color{blue}{ -3x^2+8x } \, $ and $ \, \color{orangered}{ -4x^3+6x^2+4x+1 }$. | 1 |
| 1999 | Add $ \, \color{blue}{ -3x^2+8x+2 } \, $ and $ \, \color{orangered}{ -x^2-4x-6 }$. | 1 |
| 2000 | Add $ \, \color{blue}{ -10x^2+6x+3 } \, $ and $ \, \color{orangered}{ -9x^2+2x-1 }$. | 1 |
