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 |
| 2051 | Multiply polynomial $ \, \color{blue}{ 3x-9 } \, $ by $ \, \color{orangered}{ 3x+9 }$. | 1 |
| 2052 | Add $ \, \color{blue}{ 7x^2+8x-5 } \, $ and $ \, \color{orangered}{ 3x^2-4x+9 }$. | 1 |
| 2053 | Add $ \, \color{blue}{ 2x^6-3x^2+7 } \, $ and $ \, \color{orangered}{ 2x^3+3x-1 }$. | 1 |
| 2054 | Multiply polynomial $ \, \color{blue}{ 4x-4 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 2055 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
| 2056 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$. | 1 |
| 2057 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
| 2058 | Multiply polynomial $ \, \color{blue}{ n^2+4+2n } \, $ by $ \, \color{orangered}{ -3n+2 }$. | 1 |
| 2059 | Multiply polynomial $ \, \color{blue}{ s^4+12s^3+41s^2+30s } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$. | 1 |
| 2060 | Multiply polynomial $ \, \color{blue}{ s^3+9s^2+26s+24 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+5760 }$. | 1 |
| 2061 | Multiply polynomial $ \, \color{blue}{ 3x+1 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 2062 | Multiply polynomial $ \, \color{blue}{ 6x+5x-8 } \, $ by $ \, \color{orangered}{ 6x-9 }$. | 1 |
| 2063 | Add $ \, \color{blue}{ x^2+3 } \, $ and $ \, \color{orangered}{ 4x-1 }$. | 1 |
| 2064 | Add $ \, \color{blue}{ -3-7n^3+n^2 } \, $ and $ \, \color{orangered}{ 5-3n^3+5n^2 }$. | 1 |
| 2065 | Add $ \, \color{blue}{ -3-7n^3-4n^2 } \, $ and $ \, \color{orangered}{ 5-3n^3+5n^2 }$. | 1 |
| 2066 | Add $ \, \color{blue}{ m^3+8m^4+6m } \, $ and $ \, \color{orangered}{ 7m^3+6m-2m^4 }$. | 1 |
| 2067 | Subtract polynomials: $ \, \color{blue}{ 4v^2+5v^4-7v^3 } \, $ , $ \, \color{orangered}{ 5v^2-5v^4+4v^3 }$. | 1 |
| 2068 | Add $ \, \color{blue}{ 6q^4-q^3+9q^2+6q+4 } \, $ and $ \, \color{orangered}{ 6q^4+7q^3+2q^2-3q }$. | 1 |
| 2069 | Subtract polynomials: $ \, \color{blue}{ -4m^3-2m-1 } \, $ , $ \, \color{orangered}{ -5m^3+4m^2+9 }$. | 1 |
| 2070 | Multiply polynomial $ \, \color{blue}{ 2s+2 } \, $ by $ \, \color{orangered}{ 4s-1 }$. | 1 |
| 2071 | Multiply polynomial $ \, \color{blue}{ 4p^2+p+3 } \, $ by $ \, \color{orangered}{ p-3 }$. | 1 |
| 2072 | Multiply polynomial $ \, \color{blue}{ 2r-3 } \, $ by $ \, \color{orangered}{ 4r+4 }$. | 1 |
| 2073 | Multiply polynomial $ \, \color{blue}{ 2p-1 } \, $ by $ \, \color{orangered}{ -p^2+4p-1 }$. | 1 |
| 2074 | Multiply polynomial $ \, \color{blue}{ -r^2+3r+4 } \, $ by $ \, \color{orangered}{ 4r-3 }$. | 1 |
| 2075 | Multiply polynomial $ \, \color{blue}{ n^2+n+1 } \, $ by $ \, \color{orangered}{ 2n-2 }$. | 1 |
| 2076 | Multiply polynomial $ \, \color{blue}{ -3n^2+n-1 } \, $ by $ \, \color{orangered}{ 3n+4 }$. | 1 |
| 2077 | Add $ \, \color{blue}{ -12x^4+10x^5+2x^3 } \, $ and $ \, \color{orangered}{ 14x^3+115x+8x^4 }$. | 1 |
| 2078 | Subtract polynomials: $ \, \color{blue}{ 3x^5-2x^4-4x } \, $ , $ \, \color{orangered}{ 4x^2+10x^4-3x }$. | 1 |
| 2079 | Add $ \, \color{blue}{ 5x+9x^3-3x^5 } \, $ and $ \, \color{orangered}{ 8x^3+3x^5-2x }$. | 1 |
| 2080 | Multiply polynomial $ \, \color{blue}{ 2q^7+3q^7 } \, $ by $ \, \color{orangered}{ -6q^2+9 }$. | 1 |
| 2081 | Multiply polynomial $ \, \color{blue}{ 2d-4 } \, $ by $ \, \color{orangered}{ 4d-1 }$. | 1 |
| 2082 | Multiply polynomial $ \, \color{blue}{ x^2+x } \, $ by $ \, \color{orangered}{ x^3+x+1 }$. | 1 |
| 2083 | Multiply polynomial $ \, \color{blue}{ x^6+x^4+x^3+x } \, $ by $ \, \color{orangered}{ x^7+x^5+x^2+1 }$. | 1 |
| 2084 | Subtract polynomials: $ \, \color{blue}{ 3000 } \, $ , $ \, \color{orangered}{ 1897 }$. | 1 |
| 2085 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x^2+4x+9 }$. | 1 |
| 2086 | Add $ \, \color{blue}{ 2x^2-5x+1 } \, $ and $ \, \color{orangered}{ x^2+3x+5 }$. | 1 |
| 2087 | Subtract polynomials: $ \, \color{blue}{ 3x^2+8x-6 } \, $ , $ \, \color{orangered}{ 2x^2+6x-5 }$. | 1 |
| 2088 | Multiply polynomial $ \, \color{blue}{ x-6 } \, $ by $ \, \color{orangered}{ x^2-2x+4 }$. | 1 |
| 2089 | Multiply polynomial $ \, \color{blue}{ a+4 } \, $ by $ \, \color{orangered}{ 4a^2-a+4 }$. | 1 |
| 2090 | Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ 4x }$. | 1 |
| 2091 | Add $ \, \color{blue}{ 2x+3 } \, $ and $ \, \color{orangered}{ 4x+5 }$. | 1 |
| 2092 | Add $ \, \color{blue}{ 3x^2+4x+5 } \, $ and $ \, \color{orangered}{ 2x^2-3x+1 }$. | 1 |
| 2093 | Multiply polynomial $ \, \color{blue}{ x^2-3x^3-7x-14 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 2094 | Multiply polynomial $ \, \color{blue}{ 8 } \, $ by $ \, \color{orangered}{ 27 }$. | 1 |
| 2095 | Multiply polynomial $ \, \color{blue}{ 8x-27 } \, $ by $ \, \color{orangered}{ 15x-16 }$. | 1 |
| 2096 | Multiply polynomial $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ by $ \, \color{orangered}{ x^2-6x+5 }$. | 1 |
| 2097 | Multiply polynomial $ \, \color{blue}{ 32x+26x+23x+22x+16x+12x+11x+10x+8x+7x+5x+4x+2x+x+1 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2098 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 5x^2+8x+8 }$. | 1 |
| 2099 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ 3x^3-9-3x }$. | 1 |
| 2100 | Multiply polynomial $ \, \color{blue}{ x^2+3x-28 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |