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}{ x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1952 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 1953 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-6 } \, $ by $ \, \color{orangered}{ -5x^2-2x+4 }$. | 1 |
| 1954 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 1955 | Add $ \, \color{blue}{ 6x^2+3x-3 } \, $ and $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 1956 | Multiply polynomial $ \, \color{blue}{ x^4+5x^3 } \, $ by $ \, \color{orangered}{ 5x^4-4x^3-5x^2 }$. | 1 |
| 1957 | Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2x^2+9x }$. | 1 |
| 1958 | Multiply polynomial $ \, \color{blue}{ 20+10 } \, $ by $ \, \color{orangered}{ 3+7 }$. | 1 |
| 1959 | Add $ \, \color{blue}{ 14x+3x+7 } \, $ and $ \, \color{orangered}{ 12x+7x }$. | 1 |
| 1960 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 7x }$. | 1 |
| 1961 | Subtract polynomials: $ \, \color{blue}{ x } \, $ , $ \, \color{orangered}{ 7x }$. | 1 |
| 1962 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 7x }$. | 1 |
| 1963 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 1 |
| 1964 | Add $ \, \color{blue}{ -x^4+x^2 } \, $ and $ \, \color{orangered}{ x^5+x^4-x^2 }$. | 1 |
| 1965 | Add $ \, \color{blue}{ -x^3-x^2 } \, $ and $ \, \color{orangered}{ 9x^3+9x+1 }$. | 1 |
| 1966 | Add $ \, \color{blue}{ -x^5+x^4-x^3+x^2 } \, $ and $ \, \color{orangered}{ x^4+3x^3+2x^2-x-2 }$. | 1 |
| 1967 | Add $ \, \color{blue}{ -x^5+2x^4+2x^3+3x^2-x-2 } \, $ and $ \, \color{orangered}{ 8x^3-x^2+9x+1 }$. | 1 |
| 1968 | Add $ \, \color{blue}{ 8x^2+3 } \, $ and $ \, \color{orangered}{ -4x^2-8x+4 }$. | 1 |
| 1969 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 1 |
| 1970 | Add $ \, \color{blue}{ -6x-2 } \, $ and $ \, \color{orangered}{ 6x^2-5x-10 }$. | 1 |
| 1971 | Add $ \, \color{blue}{ 6x+7 } \, $ and $ \, \color{orangered}{ 8x^2+5x-1 }$. | 1 |
| 1972 | Subtract polynomials: $ \, \color{blue}{ x^2-3x+2 } \, $ , $ \, \color{orangered}{ x^3-3x^2+4x-2 }$. | 1 |
| 1973 | Add $ \, \color{blue}{ -3x^3+5x^2+7 } \, $ and $ \, \color{orangered}{ x^2+5x+9 }$. | 1 |
| 1974 | Subtract polynomials: $ \, \color{blue}{ 7x^9+9x^5+15 } \, $ , $ \, \color{orangered}{ 10x^9+8x^5+12 }$. | 1 |
| 1975 | Subtract polynomials: $ \, \color{blue}{ x^4+8x^3+9x^2 } \, $ , $ \, \color{orangered}{ 5x^4+4x^3+2x^2 }$. | 1 |
| 1976 | Add $ \, \color{blue}{ 2x^7+24x+3x^2+2x } \, $ and $ \, \color{orangered}{ 3x^7+5x^6+2x^2+6x }$. | 1 |
| 1977 | Add $ \, \color{blue}{ 2x^7+4x^6+3x^2+2x } \, $ and $ \, \color{orangered}{ 3x^7+5x^6+2x^2+6x }$. | 1 |
| 1978 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x^3-2x-2 }$. | 1 |
| 1979 | Subtract polynomials: $ \, \color{blue}{ 2x^3+7x+10 } \, $ , $ \, \color{orangered}{ 5x^3+12x^2+10x+8 }$. | 1 |
| 1980 | Subtract polynomials: $ \, \color{blue}{ 4x^2-2x+7 } \, $ , $ \, \color{orangered}{ x^2+3x-4 }$. | 1 |
| 1981 | Add $ \, \color{blue}{ x^2-5x+3 } \, $ and $ \, \color{orangered}{ 2x^2-3x-7 }$. | 1 |
| 1982 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 5+3x-4x }$. | 1 |
| 1983 | Add $ \, \color{blue}{ x^2-3x+2 } \, $ and $ \, \color{orangered}{ x-4 }$. | 1 |
| 1984 | Subtract polynomials: $ \, \color{blue}{ x^2-8x-6 } \, $ , $ \, \color{orangered}{ x^2-2x }$. | 1 |
| 1985 | Subtract polynomials: $ \, \color{blue}{ 8x^2+8x } \, $ , $ \, \color{orangered}{ -9x^2+8x }$. | 1 |
| 1986 | Subtract polynomials: $ \, \color{blue}{ -9x^2-2x } \, $ , $ \, \color{orangered}{ -9x^2-3x }$. | 1 |
| 1987 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 1 |
| 1988 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ 2x^2-x-3 }$. | 1 |
| 1989 | Subtract polynomials: $ \, \color{blue}{ 3x^2-6 } \, $ , $ \, \color{orangered}{ 2x^2+1 }$. | 1 |
| 1990 | Add $ \, \color{blue}{ 5x+8 } \, $ and $ \, \color{orangered}{ x-1 }$. | 1 |
| 1991 | Add $ \, \color{blue}{ 1 } \, $ and $ \, \color{orangered}{ 24 }$. | 1 |
| 1992 | Multiply polynomial $ \, \color{blue}{ -7m+7 } \, $ by $ \, \color{orangered}{ -3m-1 }$. | 1 |
| 1993 | Multiply polynomial $ \, \color{blue}{ -6b+7 } \, $ by $ \, \color{orangered}{ 2b^2+7b+3 }$. | 1 |
| 1994 | Subtract polynomials: $ \, \color{blue}{ 5x^3-6x^4-6 } \, $ , $ \, \color{orangered}{ 5x^3-4x+1 }$. | 1 |
| 1995 | Add $ \, \color{blue}{ 2x^2-3+x^3 } \, $ and $ \, \color{orangered}{ 5x^3-2x-7x^2 }$. | 1 |
| 1996 | Multiply polynomial $ \, \color{blue}{ x^3+13x^2+60x+100 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 1997 | Add $ \, \color{blue}{ 3-x^2-2x^3 } \, $ and $ \, \color{orangered}{ 6+3x^3+7x^2 }$. | 1 |
| 1998 | Subtract polynomials: $ \, \color{blue}{ x^4+2x^3+8x^2 } \, $ , $ \, \color{orangered}{ 6x+x^4-5x^3 }$. | 1 |
| 1999 | Multiply polynomial $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ by $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$. | 1 |
| 2000 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$. | 1 |
