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 | Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 12x-32x+32 }$. | 1 |
| 2052 | Subtract polynomials: $ \, \color{blue}{ 3x^3-25x^2-44x+10 } \, $ , $ \, \color{orangered}{ 2x^3-7x^2-11x+7 }$. | 1 |
| 2053 | Subtract polynomials: $ \, \color{blue}{ -x^2+x-1 } \, $ , $ \, \color{orangered}{ x^2-x+6 }$. | 1 |
| 2054 | Subtract polynomials: $ \, \color{blue}{ 6x^2+7x+7 } \, $ , $ \, \color{orangered}{ -2x^2+4x-7 }$. | 1 |
| 2055 | Add $ \, \color{blue}{ -x^2-3x+5 } \, $ and $ \, \color{orangered}{ -9x^2+1 }$. | 1 |
| 2056 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 2057 | Multiply polynomial $ \, \color{blue}{ 8x^2+58x+100 } \, $ by $ \, \color{orangered}{ x-6 }$. | 1 |
| 2058 | Multiply polynomial $ \, \color{blue}{ 15x^5-58x^4-69x^3-79x^2-6x+5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 2059 | Multiply polynomial $ \, \color{blue}{ 2m+1 } \, $ by $ \, \color{orangered}{ -2m^2-m-2 }$. | 1 |
| 2060 | Subtract polynomials: $ \, \color{blue}{ 5x^2-6x-4 } \, $ , $ \, \color{orangered}{ 2x^2-6x+7 }$. | 1 |
| 2061 | Subtract polynomials: $ \, \color{blue}{ 3n+n^3-4n^2 } \, $ , $ \, \color{orangered}{ n^2-3n-2n^3+7 }$. | 1 |
| 2062 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2063 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2064 | Multiply polynomial $ \, \color{blue}{ 5x^2-6x+5 } \, $ by $ \, \color{orangered}{ 2x^2-12x+8 }$. | 1 |
| 2065 | Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ -6x^2+5 }$. | 1 |
| 2066 | Multiply polynomial $ \, \color{blue}{ 3x^2+x-5 } \, $ by $ \, \color{orangered}{ 2x^2+2x }$. | 1 |
| 2067 | Subtract polynomials: $ \, \color{blue}{ 4x-5 } \, $ , $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 2068 | Subtract polynomials: $ \, \color{blue}{ 4x-3 } \, $ , $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 2069 | Subtract polynomials: $ \, \color{blue}{ 7x-3 } \, $ , $ \, \color{orangered}{ 4x-8 }$. | 1 |
| 2070 | Multiply polynomial $ \, \color{blue}{ 5x+1 } \, $ by $ \, \color{orangered}{ x^2-6x-3 }$. | 1 |
| 2071 | Multiply polynomial $ \, \color{blue}{ 7r-4 } \, $ by $ \, \color{orangered}{ 6r^2+6r+4 }$. | 1 |
| 2072 | Multiply polynomial $ \, \color{blue}{ 7x^2+2x-7 } \, $ by $ \, \color{orangered}{ 7x+3 }$. | 1 |
| 2073 | Multiply polynomial $ \, \color{blue}{ 4x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x+6 }$. | 1 |
| 2074 | Multiply polynomial $ \, \color{blue}{ 8x^2-3x-6 } \, $ by $ \, \color{orangered}{ 2x^2+4x+1 }$. | 1 |
| 2075 | Multiply polynomial $ \, \color{blue}{ 5b^2+8b+1 } \, $ by $ \, \color{orangered}{ 2b^2-4b-7 }$. | 1 |
| 2076 | Add $ \, \color{blue}{ 8+8x } \, $ and $ \, \color{orangered}{ 8-8x }$. | 1 |
| 2077 | Multiply polynomial $ \, \color{blue}{ -3n+5 } \, $ by $ \, \color{orangered}{ 2n^2-4n-7 }$. | 1 |
| 2078 | Multiply polynomial $ \, \color{blue}{ 4x-6 } \, $ by $ \, \color{orangered}{ 5x^2+4x+3 }$. | 1 |
| 2079 | Multiply polynomial $ \, \color{blue}{ 7v+5 } \, $ by $ \, \color{orangered}{ 8v^2+5v-6 }$. | 1 |
| 2080 | Add $ \, \color{blue}{ x^3 } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 2081 | Multiply polynomial $ \, \color{blue}{ -2x^2-5x+7 } \, $ by $ \, \color{orangered}{ -2x^2+4x }$. | 1 |
| 2082 | Subtract polynomials: $ \, \color{blue}{ x^2+16 } \, $ , $ \, \color{orangered}{ x^2+4x+12 }$. | 1 |
| 2083 | Multiply polynomial $ \, \color{blue}{ 3x^2+10x-8 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 2084 | Add $ \, \color{blue}{ x^2+2x+3 } \, $ and $ \, \color{orangered}{ 2x^3-2x^2-2 }$. | 1 |
| 2085 | Multiply polynomial $ \, \color{blue}{ 2x^3-3x^2+x-2 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2086 | Multiply polynomial $ \, \color{blue}{ -4x+2 } \, $ by $ \, \color{orangered}{ 4x+4x^2+1 }$. | 1 |
| 2087 | Multiply polynomial $ \, \color{blue}{ 5x-2x^2 } \, $ by $ \, \color{orangered}{ -5+3x }$. | 1 |
| 2088 | Subtract polynomials: $ \, \color{blue}{ 10x+4x } \, $ , $ \, \color{orangered}{ 8x+4 }$. | 1 |
| 2089 | Subtract polynomials: $ \, \color{blue}{ 5x^2+4x } \, $ , $ \, \color{orangered}{ 8x+4 }$. | 1 |
| 2090 | Add $ \, \color{blue}{ 3w+7 } \, $ and $ \, \color{orangered}{ 9w+1 }$. | 1 |
| 2091 | Subtract polynomials: $ \, \color{blue}{ 5x-6 } \, $ , $ \, \color{orangered}{ x-7 }$. | 1 |
| 2092 | Subtract polynomials: $ \, \color{blue}{ 2c^2+7c+6 } \, $ , $ \, \color{orangered}{ 5c+3 }$. | 1 |
| 2093 | Subtract polynomials: $ \, \color{blue}{ 3c^2+5c-8 } \, $ , $ \, \color{orangered}{ c^2-5c+5 }$. | 1 |
| 2094 | Multiply polynomial $ \, \color{blue}{ y+3 } \, $ by $ \, \color{orangered}{ 2y^2-3y-4 }$. | 1 |
| 2095 | Add $ \, \color{blue}{ 5x^2+6x+6 } \, $ and $ \, \color{orangered}{ 3x^2-3x+2 }$. | 1 |
| 2096 | Add $ \, \color{blue}{ 3x+4+2x-6-x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2097 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 2098 | Subtract polynomials: $ \, \color{blue}{ -x^2+6x+2 } \, $ , $ \, \color{orangered}{ x^2-4x+3 }$. | 1 |
| 2099 | Add $ \, \color{blue}{ -4y^3-5y+16 } \, $ and $ \, \color{orangered}{ 4y^2-y+9 }$. | 1 |
| 2100 | Add $ \, \color{blue}{ 3x^2+4x-3 } \, $ and $ \, \color{orangered}{ 8x+5 }$. | 1 |
