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}{ 8x^2 } \, $ and $ \, \color{orangered}{ 4x }$. | 1 |
| 2102 | Add $ \, \color{blue}{ 6x^2+2 } \, $ and $ \, \color{orangered}{ x+1+x+15 }$. | 1 |
| 2103 | Multiply polynomial $ \, \color{blue}{ 3x+8 } \, $ by $ \, \color{orangered}{ 2x^2-3x+3 }$. | 1 |
| 2104 | Multiply polynomial $ \, \color{blue}{ -3x-5 } \, $ by $ \, \color{orangered}{ 3x^2+x-1 }$. | 1 |
| 2105 | Subtract polynomials: $ \, \color{blue}{ x^3-2x^2-65x+18 } \, $ , $ \, \color{orangered}{ x-9 }$. | 1 |
| 2106 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3+8 }$. | 1 |
| 2107 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x+5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 2108 | Subtract polynomials: $ \, \color{blue}{ 2x^2 } \, $ , $ \, \color{orangered}{ -2x }$. | 1 |
| 2109 | Multiply polynomial $ \, \color{blue}{ 2x^2 } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 2110 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x+x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2111 | Multiply polynomial $ \, \color{blue}{ 4x^2-x+6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2112 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 5x^2+x^3 }$. | 1 |
| 2113 | Add $ \, \color{blue}{ 4x^3-x^2 } \, $ and $ \, \color{orangered}{ 5x^2+x^3 }$. | 1 |
| 2114 | Multiply polynomial $ \, \color{blue}{ 8x^2-3x+1 } \, $ by $ \, \color{orangered}{ -3x+2 }$. | 1 |
| 2115 | Multiply polynomial $ \, \color{blue}{ -x-6 } \, $ by $ \, \color{orangered}{ 3x^2+2x+9 }$. | 1 |
| 2116 | Multiply polynomial $ \, \color{blue}{ -2x-4x+1 } \, $ by $ \, \color{orangered}{ 4x+9 }$. | 1 |
| 2117 | Add $ \, \color{blue}{ 7j^3-2 } \, $ and $ \, \color{orangered}{ 5j^3-j-3 }$. | 1 |
| 2118 | Add $ \, \color{blue}{ 8a^5-4 } \, $ and $ \, \color{orangered}{ 3a^5+a-2 }$. | 1 |
| 2119 | Add $ \, \color{blue}{ -4x+4x^3+7+ \cancel{3x}-9 -\cancel{3x} } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
| 2120 | Add $ \, \color{blue}{ -x^2+4+1 } \, $ and $ \, \color{orangered}{ 3x^3-9-3x }$. | 1 |
| 2121 | Add $ \, \color{blue}{ -x^2+4+1 } \, $ and $ \, \color{orangered}{ 3x^2-9-3x }$. | 1 |
| 2122 | Add $ \, \color{blue}{ -x^2+x-4 } \, $ and $ \, \color{orangered}{ 3x^2-8x-2 }$. | 1 |
| 2123 | Add $ \, \color{blue}{ -x^2-5x-3 } \, $ and $ \, \color{orangered}{ -7x^2-8x-8 }$. | 1 |
| 2124 | Multiply polynomial $ \, \color{blue}{ 33x-10 } \, $ by $ \, \color{orangered}{ x^2+6 }$. | 1 |
| 2125 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x+4 }$. | 1 |
| 2126 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$. | 1 |
| 2127 | Multiply polynomial $ \, \color{blue}{ 6x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+7x-7 }$. | 1 |
| 2128 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 4x+1 }$. | 1 |
| 2129 | Multiply polynomial $ \, \color{blue}{ 2u-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
| 2130 | Multiply polynomial $ \, \color{blue}{ 2u^2-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
| 2131 | Multiply polynomial $ \, \color{blue}{ 5x-2 } \, $ by $ \, \color{orangered}{ 8x+3 }$. | 1 |
| 2132 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2133 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2134 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x+1 } \, $ by $ \, \color{orangered}{ 3x^2+2x+1 }$. | 1 |
| 2135 | Add $ \, \color{blue}{ 8x^5-4 } \, $ and $ \, \color{orangered}{ 3x^5+x-2 }$. | 1 |
| 2136 | Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
| 2137 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ 3x^2-9-3x }$. | 1 |
| 2138 | Subtract polynomials: $ \, \color{blue}{ -x^2-5x-3 } \, $ , $ \, \color{orangered}{ -7x^2-8x-8 }$. | 1 |
| 2139 | Subtract polynomials: $ \, \color{blue}{ 5x^3+5x^2+5 } \, $ , $ \, \color{orangered}{ 6x^3-5x^2+18x-5 }$. | 1 |
| 2140 | Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^3-9x^2+8x-5 }$. | 1 |
| 2141 | Multiply polynomial $ \, \color{blue}{ 6x^2-30x } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 2142 | Multiply polynomial $ \, \color{blue}{ 6x+8 } \, $ by $ \, \color{orangered}{ 3x-7 }$. | 1 |
| 2143 | Multiply polynomial $ \, \color{blue}{ 9x^3-5x^2+7+4 } \, $ by $ \, \color{orangered}{ 9x^2-4x+5 }$. | 1 |
| 2144 | Subtract polynomials: $ \, \color{blue}{ 7-39x-11x } \, $ , $ \, \color{orangered}{ 6x+8-20x }$. | 1 |
| 2145 | Add $ \, \color{blue}{ x^2-x } \, $ and $ \, \color{orangered}{ x^2+x }$. | 1 |
| 2146 | Add $ \, \color{blue}{ 4x^2-5x+1 } \, $ and $ \, \color{orangered}{ 5x^2+x-1 }$. | 1 |
| 2147 | Subtract polynomials: $ \, \color{blue}{ 4x^2-5x+1 } \, $ , $ \, \color{orangered}{ 5x^2+x-1 }$. | 1 |
| 2148 | Subtract polynomials: $ \, \color{blue}{ x^3-4x^2+x+6 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2149 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 2x-4x^4 }$. | 1 |
| 2150 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 7x-2 }$. | 1 |
