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 | Multiply polynomial $ \, \color{blue}{ -5x^2+7 } \, $ by $ \, \color{orangered}{ -5x^2-7 }$. | 1 |
| 1952 | Multiply polynomial $ \, \color{blue}{ 3y+3 } \, $ by $ \, \color{orangered}{ 4y-4 }$. | 1 |
| 1953 | Multiply polynomial $ \, \color{blue}{ r-1 } \, $ by $ \, \color{orangered}{ r-1 }$. | 1 |
| 1954 | Multiply polynomial $ \, \color{blue}{ -9u } \, $ by $ \, \color{orangered}{ -6u }$. | 1 |
| 1955 | Multiply polynomial $ \, \color{blue}{ 3a+1 } \, $ by $ \, \color{orangered}{ 3a-1 }$. | 1 |
| 1956 | Multiply polynomial $ \, \color{blue}{ 9 } \, $ by $ \, \color{orangered}{ 2x^2-x }$. | 1 |
| 1957 | Subtract polynomials: $ \, \color{blue}{ 7d^2+5d+3 } \, $ , $ \, \color{orangered}{ d^2 }$. | 1 |
| 1958 | Add $ \, \color{blue}{ 4b^2+4b+3 } \, $ and $ \, \color{orangered}{ 9b^2+7b+9 }$. | 1 |
| 1959 | Subtract polynomials: $ \, \color{blue}{ 4f^2+3f+7 } \, $ , $ \, \color{orangered}{ 3f^2+3f+1 }$. | 1 |
| 1960 | Add $ \, \color{blue}{ 8q^2-2 } \, $ and $ \, \color{orangered}{ -5q+9 }$. | 1 |
| 1961 | Subtract polynomials: $ \, \color{blue}{ 8f^3+4f^2+f-7 } \, $ , $ \, \color{orangered}{ 8f^3+8f-6 }$. | 1 |
| 1962 | Add $ \, \color{blue}{ -2x^2+4x } \, $ and $ \, \color{orangered}{ x^2+9x }$. | 1 |
| 1963 | Add $ \, \color{blue}{ 2y^3+6y-4 } \, $ and $ \, \color{orangered}{ y-1 }$. | 1 |
| 1964 | Add $ \, \color{blue}{ 6x^2+2x^3-2 } \, $ and $ \, \color{orangered}{ 7x^3+4x^2+2 }$. | 1 |
| 1965 | Add $ \, \color{blue}{ 7x^2+5x^4-2x^3 } \, $ and $ \, \color{orangered}{ 7x^3+1+7x^4 }$. | 1 |
| 1966 | Subtract polynomials: $ \, \color{blue}{ 7x^2+5x^4-2x^3 } \, $ , $ \, \color{orangered}{ 7x^3+1+7x^4 }$. | 1 |
| 1967 | Subtract polynomials: $ \, \color{blue}{ 6+8x^2-3x } \, $ , $ \, \color{orangered}{ 1+7x^3+3x^2 }$. | 1 |
| 1968 | Add $ \, \color{blue}{ 4x-5x^2-6x^3-1 } \, $ and $ \, \color{orangered}{ 2x^3+6x^2+3+6x }$. | 1 |
| 1969 | Multiply polynomial $ \, \color{blue}{ 2x^2-8x-4 } \, $ by $ \, \color{orangered}{ 3x+2 }$. | 1 |
| 1970 | Add $ \, \color{blue}{ x^2-1 } \, $ and $ \, \color{orangered}{ x+1 }$. | 1 |
| 1971 | Subtract polynomials: $ \, \color{blue}{ x^2-3 } \, $ , $ \, \color{orangered}{ -3x^2+5 }$. | 1 |
| 1972 | Add $ \, \color{blue}{ 3x^2-5x+2 } \, $ and $ \, \color{orangered}{ 5x^2-2x-6 }$. | 1 |
| 1973 | Subtract polynomials: $ \, \color{blue}{ 2x^2-4 } \, $ , $ \, \color{orangered}{ -3x^2+2x-7 }$. | 1 |
| 1974 | Multiply polynomial $ \, \color{blue}{ 6x+3 } \, $ by $ \, \color{orangered}{ 4x+1 }$. | 1 |
| 1975 | Subtract polynomials: $ \, \color{blue}{ -y^2+y+2 } \, $ , $ \, \color{orangered}{ y^2-5y-2 }$. | 1 |
| 1976 | Multiply polynomial $ \, \color{blue}{ -3y+1 } \, $ by $ \, \color{orangered}{ 4y^2-y-7 }$. | 1 |
| 1977 | Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$. | 1 |
| 1978 | Subtract polynomials: $ \, \color{blue}{ -x^2+2x } \, $ , $ \, \color{orangered}{ -2x }$. | 1 |
| 1979 | Subtract polynomials: $ \, \color{blue}{ x^2 } \, $ , $ \, \color{orangered}{ 2x^2-5x }$. | 1 |
| 1980 | Add $ \, \color{blue}{ 5x^2+7x+1 } \, $ and $ \, \color{orangered}{ 2x^3-6x+8 }$. | 1 |
| 1981 | Add $ \, \color{blue}{ 2x^2-7x-3 } \, $ and $ \, \color{orangered}{ x^2+6x-1 }$. | 1 |
| 1982 | Multiply polynomial $ \, \color{blue}{ 9x-14x+5x-2 } \, $ by $ \, \color{orangered}{ 4x-9x+8 }$. | 1 |
| 1983 | Add $ \, \color{blue}{ x^2-x+4 } \, $ and $ \, \color{orangered}{ x^2+5x^2-6 }$. | 1 |
| 1984 | Subtract polynomials: $ \, \color{blue}{ 4x^2-6x+9 } \, $ , $ \, \color{orangered}{ 2x^2-3x+4 }$. | 1 |
| 1985 | Multiply polynomial $ \, \color{blue}{ x^2+4 } \, $ by $ \, \color{orangered}{ x^2+2x+1 }$. | 1 |
| 1986 | Multiply polynomial $ \, \color{blue}{ y+6 } \, $ by $ \, \color{orangered}{ y+4 }$. | 1 |
| 1987 | Multiply polynomial $ \, \color{blue}{ z-5 } \, $ by $ \, \color{orangered}{ z+3 }$. | 1 |
| 1988 | Multiply polynomial $ \, \color{blue}{ a+8 } \, $ by $ \, \color{orangered}{ a-3 }$. | 1 |
| 1989 | Multiply polynomial $ \, \color{blue}{ h-8 } \, $ by $ \, \color{orangered}{ h-9 }$. | 1 |
| 1990 | Multiply polynomial $ \, \color{blue}{ 3m+1 } \, $ by $ \, \color{orangered}{ m+9 }$. | 1 |
| 1991 | Multiply polynomial $ \, \color{blue}{ 3k-1 } \, $ by $ \, \color{orangered}{ 4k+9 }$. | 1 |
| 1992 | Multiply polynomial $ \, \color{blue}{ 5g+3 } \, $ by $ \, \color{orangered}{ g+8 }$. | 1 |
| 1993 | Add $ \, \color{blue}{ x^2-3x+1 } \, $ and $ \, \color{orangered}{ 3x^2+2x+3 }$. | 1 |
| 1994 | Add $ \, \color{blue}{ x^2-3x+1 } \, $ and $ \, \color{orangered}{ 3x^2+2x+3 }$. | 1 |
| 1995 | Subtract polynomials: $ \, \color{blue}{ 3x^2+2x-5 } \, $ , $ \, \color{orangered}{ -3x^2+2x-2 }$. | 1 |
| 1996 | Multiply polynomial $ \, \color{blue}{ -3+30x-10x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1997 | Subtract polynomials: $ \, \color{blue}{ 10x^2-7x+7 } \, $ , $ \, \color{orangered}{ 4x^2+5x-9 }$. | 1 |
| 1998 | Add $ \, \color{blue}{ -6x^3-9x^2-10x+6 } \, $ and $ \, \color{orangered}{ 8x^4-5x^3+4x^2+9x+3 }$. | 1 |
| 1999 | Subtract polynomials: $ \, \color{blue}{ 11x^4+3x^3-12x^2+5x } \, $ , $ \, \color{orangered}{ 2x^4+7x^3-8x-11 }$. | 1 |
| 2000 | Add $ \, \color{blue}{ b^4+1-2b^2 } \, $ and $ \, \color{orangered}{ -2b+3b^2+3 }$. | 1 |
