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 |
| 2101 | Add $ \, \color{blue}{ 30x^2+15x-20 } \, $ and $ \, \color{orangered}{ 10x+5 }$. | 1 |
| 2102 | Subtract polynomials: $ \, \color{blue}{ 30x^2+15x-20 } \, $ , $ \, \color{orangered}{ 10x+5 }$. | 1 |
| 2103 | Multiply polynomial $ \, \color{blue}{ 30x^2+15x-20 } \, $ by $ \, \color{orangered}{ 10x+5 }$. | 1 |
| 2104 | Add $ \, \color{blue}{ 300x^3+15x-90 } \, $ and $ \, \color{orangered}{ 80x+100 }$. | 1 |
| 2105 | Multiply polynomial $ \, \color{blue}{ 300x^3+15x-90 } \, $ by $ \, \color{orangered}{ 80x+100 }$. | 1 |
| 2106 | Subtract polynomials: $ \, \color{blue}{ 8x^3+4x^2-8x+3 } \, $ , $ \, \color{orangered}{ 8x^3-4x^2-x-9 }$. | 1 |
| 2107 | Subtract polynomials: $ \, \color{blue}{ 8a^2-7a+4 } \, $ , $ \, \color{orangered}{ a^2-8a+2 }$. | 1 |
| 2108 | Subtract polynomials: $ \, \color{blue}{ 8a^2-7a+4 } \, $ , $ \, \color{orangered}{ -a^2-8a+2 }$. | 1 |
| 2109 | Subtract polynomials: $ \, \color{blue}{ p^2-5p+6 } \, $ , $ \, \color{orangered}{ -5p^2+9p }$. | 1 |
| 2110 | Add $ \, \color{blue}{ -2n-5n-3 } \, $ and $ \, \color{orangered}{ -4n-9 }$. | 1 |
| 2111 | Subtract polynomials: $ \, \color{blue}{ 8y^2+5y+6 } \, $ , $ \, \color{orangered}{ y+1 }$. | 1 |
| 2112 | Add $ \, \color{blue}{ 5w^2+6w+3 } \, $ and $ \, \color{orangered}{ 6w^2+5w+1 }$. | 1 |
| 2113 | Subtract polynomials: $ \, \color{blue}{ 2x^2+9x+6 } \, $ , $ \, \color{orangered}{ 2x^2+2x+4 }$. | 1 |
| 2114 | Add $ \, \color{blue}{ 7x-5 } \, $ and $ \, \color{orangered}{ 9x^2-4x+2 }$. | 1 |
| 2115 | Add $ \, \color{blue}{ -2x^2+8x-8 } \, $ and $ \, \color{orangered}{ -2x^2+7x+7 }$. | 1 |
| 2116 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 4-3x }$. | 1 |
| 2117 | Multiply polynomial $ \, \color{blue}{ -2x^3 } \, $ by $ \, \color{orangered}{ 5x^6 }$. | 1 |
| 2118 | Multiply polynomial $ \, \color{blue}{ -9x^6 } \, $ by $ \, \color{orangered}{ -3x^7 }$. | 1 |
| 2119 | Multiply polynomial $ \, \color{blue}{ 8x^6 } \, $ by $ \, \color{orangered}{ -3x^8 }$. | 1 |
| 2120 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 1 |
| 2121 | Multiply polynomial $ \, \color{blue}{ x^2+x-6 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 1 |
| 2122 | Multiply polynomial $ \, \color{blue}{ 8x-5x+5 } \, $ by $ \, \color{orangered}{ -4x-x-2 }$. | 1 |
| 2123 | Multiply polynomial $ \, \color{blue}{ 4x^2-5x+5 } \, $ by $ \, \color{orangered}{ -2x^2-x-2 }$. | 1 |
| 2124 | Add $ \, \color{blue}{ -2-8+2x-2 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2125 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 2126 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2127 | Multiply polynomial $ \, \color{blue}{ 2x-6 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2128 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 1 |
| 2129 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x-6 }$. | 1 |
| 2130 | Multiply polynomial $ \, \color{blue}{ 2x+2 } \, $ by $ \, \color{orangered}{ x+9 }$. | 1 |
| 2131 | Multiply polynomial $ \, \color{blue}{ 2x+9 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2132 | Multiply polynomial $ \, \color{blue}{ 2x-9 } \, $ by $ \, \color{orangered}{ x-2 }$. | 1 |
| 2133 | Subtract polynomials: $ \, \color{blue}{ 6p^2-4p-9 } \, $ , $ \, \color{orangered}{ 5p^2+p-3 }$. | 1 |
| 2134 | Subtract polynomials: $ \, \color{blue}{ x^2 } \, $ , $ \, \color{orangered}{ 1-4x }$. | 1 |
| 2135 | Subtract polynomials: $ \, \color{blue}{ 3r^2+2r-7 } \, $ , $ \, \color{orangered}{ -4r^3+2r+4 }$. | 1 |
| 2136 | Multiply polynomial $ \, \color{blue}{ 2 } \, $ by $ \, \color{orangered}{ -2x-6 }$. | 1 |
| 2137 | Multiply polynomial $ \, \color{blue}{ 8x^4 } \, $ by $ \, \color{orangered}{ 4x-7 }$. | 1 |
| 2138 | Multiply polynomial $ \, \color{blue}{ 7 } \, $ by $ \, \color{orangered}{ -6x+6 }$. | 1 |
| 2139 | Multiply polynomial $ \, \color{blue}{ 7x } \, $ by $ \, \color{orangered}{ 7x-5 }$. | 1 |
| 2140 | Multiply polynomial $ \, \color{blue}{ -3 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 2141 | Multiply polynomial $ \, \color{blue}{ -k-5 } \, $ by $ \, \color{orangered}{ k+1 }$. | 1 |
| 2142 | Multiply polynomial $ \, \color{blue}{ 8x+7 } \, $ by $ \, \color{orangered}{ 7x+4 }$. | 1 |
| 2143 | Multiply polynomial $ \, \color{blue}{ -2x+8 } \, $ by $ \, \color{orangered}{ -7x+8 }$. | 1 |
| 2144 | Multiply polynomial $ \, \color{blue}{ 6n+8 } \, $ by $ \, \color{orangered}{ 4n+8 }$. | 1 |
| 2145 | Multiply polynomial $ \, \color{blue}{ p+1 } \, $ by $ \, \color{orangered}{ -p-2 }$. | 1 |
| 2146 | Multiply polynomial $ \, \color{blue}{ 8a-6 } \, $ by $ \, \color{orangered}{ 2a^2+3a+2 }$. | 1 |
| 2147 | Subtract polynomials: $ \, \color{blue}{ 2x+3 } \, $ , $ \, \color{orangered}{ 5x-3 }$. | 1 |
| 2148 | Add $ \, \color{blue}{ 3x^3+2x^2+x } \, $ and $ \, \color{orangered}{ 6x^3+5x^2+4x }$. | 1 |
| 2149 | Add $ \, \color{blue}{ 24x^3+47x^2-4x-15 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2150 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 8x-5+6 }$. | 1 |