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 | Multiply polynomial $ \, \color{blue}{ 2x-4 } \, $ by $ \, \color{orangered}{ 3x^2-3x+4 }$. | 1 |
| 2102 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ 4x+3 }$. | 1 |
| 2103 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+4 }$. | 1 |
| 2104 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 2105 | Multiply polynomial $ \, \color{blue}{ -3c-7c^2+4c^2 } \, $ by $ \, \color{orangered}{ 2c^2-4c^4+4 }$. | 1 |
| 2106 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-3x+3 }$. | 1 |
| 2107 | Multiply polynomial $ \, \color{blue}{ 6x+9 } \, $ by $ \, \color{orangered}{ 4x^2-7 }$. | 1 |
| 2108 | Add $ \, \color{blue}{ 12x^3+6x-8 } \, $ and $ \, \color{orangered}{ -3x^3-5x^2-4x }$. | 1 |
| 2109 | Add $ \, \color{blue}{ -8x^4-8x^3-6x^2-9 } \, $ and $ \, \color{orangered}{ 4x^4+5x^3-10x+3 }$. | 1 |
| 2110 | Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ -3x^5 }$. | 1 |
| 2111 | Multiply polynomial $ \, \color{blue}{ x^2-4 } \, $ by $ \, \color{orangered}{ 3x-5 }$. | 1 |
| 2112 | Add $ \, \color{blue}{ -5x^2+3x-1 } \, $ and $ \, \color{orangered}{ 5x+1 }$. | 1 |
| 2113 | Subtract polynomials: $ \, \color{blue}{ 2x^2+4x-5 } \, $ , $ \, \color{orangered}{ -4x^2+3x-3 }$. | 1 |
| 2114 | Add $ \, \color{blue}{ x^3-x+3 } \, $ and $ \, \color{orangered}{ x^2-8 }$. | 1 |
| 2115 | Add $ \, \color{blue}{ 7a+6+8a^4 } \, $ and $ \, \color{orangered}{ 4+5a^4-2a }$. | 1 |
| 2116 | Subtract polynomials: $ \, \color{blue}{ 7a+6+8a^4 } \, $ , $ \, \color{orangered}{ 4+5a^4-2a }$. | 1 |
| 2117 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 2118 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 2119 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 2120 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 2121 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2122 | Subtract polynomials: $ \, \color{blue}{ 5x^2+x^3-5+6x } \, $ , $ \, \color{orangered}{ 3-3x }$. | 1 |
| 2123 | Add $ \, \color{blue}{ 5x^2+x^3-5+6x } \, $ and $ \, \color{orangered}{ 3-3x }$. | 1 |
| 2124 | Multiply polynomial $ \, \color{blue}{ 16x+9x+8x+2 } \, $ by $ \, \color{orangered}{ 8x+9x }$. | 1 |
| 2125 | Subtract polynomials: $ \, \color{blue}{ 6x-4x^2-7x^3 } \, $ , $ \, \color{orangered}{ 9x^2-5x }$. | 1 |
| 2126 | Multiply polynomial $ \, \color{blue}{ 1 } \, $ by $ \, \color{orangered}{ 1 }$. | 1 |
| 2127 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 4x-5x+7 }$. | 1 |
| 2128 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 4x-5x+7 }$. | 1 |
| 2129 | Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ 4x-5x+7 }$. | 1 |
| 2130 | Multiply polynomial $ \, \color{blue}{ 3x^3-2x^2+9x-6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2131 | Add $ \, \color{blue}{ 8r^2+9r+7 } \, $ and $ \, \color{orangered}{ 9r^2+7r+3 }$. | 1 |
| 2132 | Subtract polynomials: $ \, \color{blue}{ -2x^2+2 } \, $ , $ \, \color{orangered}{ -3x^2+10 }$. | 1 |
| 2133 | Multiply polynomial $ \, \color{blue}{ -c^2 } \, $ by $ \, \color{orangered}{ 5c^3 }$. | 1 |
| 2134 | Add $ \, \color{blue}{ 2x^2-5x+8 } \, $ and $ \, \color{orangered}{ 6x^2-7x-12 }$. | 1 |
| 2135 | Add $ \, \color{blue}{ 2x+5 } \, $ and $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 2136 | Subtract polynomials: $ \, \color{blue}{ 9x^2+7x+8 } \, $ , $ \, \color{orangered}{ 5x^2-10x-7 }$. | 1 |
| 2137 | Multiply polynomial $ \, \color{blue}{ 3x^2-18x-9 } \, $ by $ \, \color{orangered}{ 2x^2-16x+2 }$. | 1 |
| 2138 | Add $ \, \color{blue}{ x^3+x^2-4x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2139 | Add $ \, \color{blue}{ 3x^3+4x^2-x+8 } \, $ and $ \, \color{orangered}{ x^3+7x^2+2x-16 }$. | 1 |
| 2140 | Add $ \, \color{blue}{ 4x^5-4x^2 } \, $ and $ \, \color{orangered}{ 5x^5+7x^2 }$. | 1 |
| 2141 | Subtract polynomials: $ \, \color{blue}{ 4x^3+3x^2-x+2 } \, $ , $ \, \color{orangered}{ 5x^3-3x^2+x-4 }$. | 1 |
| 2142 | Add $ \, \color{blue}{ 2x^2-5x+6 } \, $ and $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 2143 | Multiply polynomial $ \, \color{blue}{ t-2 } \, $ by $ \, \color{orangered}{ 2t+4 }$. | 1 |
| 2144 | Multiply polynomial $ \, \color{blue}{ t-2 } \, $ by $ \, \color{orangered}{ t^2+4 }$. | 1 |
| 2145 | Add $ \, \color{blue}{ 2x^3+3x^2-x+6 } \, $ and $ \, \color{orangered}{ 2x+1 }$. | 1 |
| 2146 | Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$. | 1 |
| 2147 | Subtract polynomials: $ \, \color{blue}{ a-2a^2 } \, $ , $ \, \color{orangered}{ 3a^2-4a^3 }$. | 1 |
| 2148 | Subtract polynomials: $ \, \color{blue}{ 3a^2+1 } \, $ , $ \, \color{orangered}{ 4+2a^2 }$. | 1 |
| 2149 | Subtract polynomials: $ \, \color{blue}{ 4r^3+3r^4 } \, $ , $ \, \color{orangered}{ r^4-5r }$. | 1 |
| 2150 | Add $ \, \color{blue}{ 3+8x+11x^2+7x^3 } \, $ and $ \, \color{orangered}{ 190x+6x^20x^3 }$. | 1 |
