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 |
| 2151 | Add $ \, \color{blue}{ 5x^3-5x-1 } \, $ and $ \, \color{orangered}{ 5x+6 }$. | 1 |
| 2152 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 5x^2+x }$. | 1 |
| 2153 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x-9 }$. | 1 |
| 2154 | Add $ \, \color{blue}{ -6x^2+3x-7 } \, $ and $ \, \color{orangered}{ 10x^2+4x-2 }$. | 1 |
| 2155 | Add $ \, \color{blue}{ 10x^4+3x^2-5x+4 } \, $ and $ \, \color{orangered}{ 7x^5-5x^4+2x-9 }$. | 1 |
| 2156 | Add $ \, \color{blue}{ 5x^4+3x^2-6x-10 } \, $ and $ \, \color{orangered}{ 2x^3-7x^2-5x-1 }$. | 1 |
| 2157 | Subtract polynomials: $ \, \color{blue}{ 10x^4-4x^3-7x^2+5x+9 } \, $ , $ \, \color{orangered}{ 2x^4-5x^3-4x^2+9x+3 }$. | 1 |
| 2158 | Subtract polynomials: $ \, \color{blue}{ 7x^5+4x^3-2x^2+12x+5 } \, $ , $ \, \color{orangered}{ 6x^4-9x^3+x^2-3 }$. | 1 |
| 2159 | Subtract polynomials: $ \, \color{blue}{ -6x^2+x-6 } \, $ , $ \, \color{orangered}{ 4x^2-6x-4 }$. | 1 |
| 2160 | Add $ \, \color{blue}{ -x^2+2 } \, $ and $ \, \color{orangered}{ 3x^2-7x+8 }$. | 1 |
| 2161 | Multiply polynomial $ \, \color{blue}{ 3x^2-6x+4 } \, $ by $ \, \color{orangered}{ 7x-1 }$. | 1 |
| 2162 | Add $ \, \color{blue}{ x^2+5x+6 } \, $ and $ \, \color{orangered}{ x+2 }$. | 1 |
| 2163 | Add $ \, \color{blue}{ x^2+2x-8 } \, $ and $ \, \color{orangered}{ x+4 }$. | 1 |
| 2164 | Multiply polynomial $ \, \color{blue}{ 5x-1 } \, $ by $ \, \color{orangered}{ x^2+4x+4 }$. | 1 |
| 2165 | Multiply polynomial $ \, \color{blue}{ x^2-3x-4 } \, $ by $ \, \color{orangered}{ 2x^2+5x+2 }$. | 1 |
| 2166 | Subtract polynomials: $ \, \color{blue}{ x^2-2x } \, $ , $ \, \color{orangered}{ 8x-10 }$. | 1 |
| 2167 | Subtract polynomials: $ \, \color{blue}{ -6x^2+6x } \, $ , $ \, \color{orangered}{ 5x^2-9x-10 }$. | 1 |
| 2168 | Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ x^2-x-6 }$. | 1 |
| 2169 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -x^2-4x-6 }$. | 1 |
| 2170 | Multiply polynomial $ \, \color{blue}{ -3x-1 } \, $ by $ \, \color{orangered}{ 2x^2+8x+1 }$. | 1 |
| 2171 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+3 }$. | 1 |
| 2172 | Add $ \, \color{blue}{ 3x^2+4x-2 } \, $ and $ \, \color{orangered}{ x^2-5x+3 }$. | 1 |
| 2173 | Add $ \, \color{blue}{ 4x^3+6x^2+2x } \, $ and $ \, \color{orangered}{ 3x^3+3x^2-5x-5 }$. | 1 |
| 2174 | Add $ \, \color{blue}{ x^2-3x+7 } \, $ and $ \, \color{orangered}{ 3x^2+5x-9 }$. | 1 |
| 2175 | Multiply polynomial $ \, \color{blue}{ 4n^2-5+4 } \, $ by $ \, \color{orangered}{ 8n-1 }$. | 1 |
| 2176 | Multiply polynomial $ \, \color{blue}{ 4n^2-5n+4 } \, $ by $ \, \color{orangered}{ 8n-1 }$. | 1 |
| 2177 | Subtract polynomials: $ \, \color{blue}{ 8x^3-10x^2+28x-16 } \, $ , $ \, \color{orangered}{ x-3 }$. | 1 |
| 2178 | Subtract polynomials: $ \, \color{blue}{ 4x^4-9x^3-7x^2-2x+25 } \, $ , $ \, \color{orangered}{ x+4 }$. | 1 |
| 2179 | Subtract polynomials: $ \, \color{blue}{ -x^5+12x^3+6x^2-23x+1 } \, $ , $ \, \color{orangered}{ x-2 }$. | 1 |
| 2180 | Subtract polynomials: $ \, \color{blue}{ -2x^3+3x^2-8x-12 } \, $ , $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 2181 | Multiply polynomial $ \, \color{blue}{ 4x-2 } \, $ by $ \, \color{orangered}{ 8x-7 }$. | 1 |
| 2182 | Multiply polynomial $ \, \color{blue}{ -2x-6 } \, $ by $ \, \color{orangered}{ -7x^2+6x+9 }$. | 1 |
| 2183 | Add $ \, \color{blue}{ x^3+4x } \, $ and $ \, \color{orangered}{ x+9 }$. | 1 |
| 2184 | Multiply polynomial $ \, \color{blue}{ 2r+1 } \, $ by $ \, \color{orangered}{ -4r^2+3r-6 }$. | 1 |
| 2185 | Multiply polynomial $ \, \color{blue}{ x^2+2x+x } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2186 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x^2-7 }$. | 1 |
| 2187 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 9x+7 }$. | 1 |
| 2188 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 4x^2+x-4 }$. | 1 |
| 2189 | Multiply polynomial $ \, \color{blue}{ a-5 } \, $ by $ \, \color{orangered}{ a+5 }$. | 1 |
| 2190 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x+4 }$. | 1 |
| 2191 | Multiply polynomial $ \, \color{blue}{ -2x } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 2192 | Add $ \, \color{blue}{ -x+6 } \, $ and $ \, \color{orangered}{ 6x^2+2x-8 }$. | 1 |
| 2193 | Subtract polynomials: $ \, \color{blue}{ x+5 } \, $ , $ \, \color{orangered}{ -2x^2+7x-6 }$. | 1 |
| 2194 | Subtract polynomials: $ \, \color{blue}{ -3x+15 } \, $ , $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 2195 | Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ x^2-5 }$. | 1 |
| 2196 | Multiply polynomial $ \, \color{blue}{ 8x-2 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 1 |
| 2197 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2198 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 2199 | Multiply polynomial $ \, \color{blue}{ x^3+5x^2-x } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2200 | Multiply polynomial $ \, \color{blue}{ -7x^2-2 } \, $ by $ \, \color{orangered}{ x^2-1 }$. | 1 |
