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 | Subtract polynomials: $ \, \color{blue}{ -6x^2-4 } \, $ , $ \, \color{orangered}{ 9x^2-7x }$. | 1 |
| 2152 | Add $ \, \color{blue}{ -6x^2-4 } \, $ and $ \, \color{orangered}{ 9x^2-7x }$. | 1 |
| 2153 | Add $ \, \color{blue}{ 3x^2-3x+9 } \, $ and $ \, \color{orangered}{ -5x^2-8x-7 }$. | 1 |
| 2154 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4+9 }$. | 1 |
| 2155 | Add $ \, \color{blue}{ -16x+3 } \, $ and $ \, \color{orangered}{ 2x+3x-8 }$. | 1 |
| 2156 | Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4+1 }$. | 1 |
| 2157 | Subtract polynomials: $ \, \color{blue}{ 4x^4-8x+4 } \, $ , $ \, \color{orangered}{ -8x^2+4x^4+1 }$. | 1 |
| 2158 | Subtract polynomials: $ \, \color{blue}{ 4x^4-8x+4 } \, $ , $ \, \color{orangered}{ 8x^2+4x^4+1 }$. | 1 |
| 2159 | Multiply polynomial $ \, \color{blue}{ 10x^2+8x } \, $ by $ \, \color{orangered}{ -9x+3 }$. | 1 |
| 2160 | Subtract polynomials: $ \, \color{blue}{ 7x^2+9x-7 } \, $ , $ \, \color{orangered}{ 2x^2+2x-5 }$. | 1 |
| 2161 | Multiply polynomial $ \, \color{blue}{ 12x+7 } \, $ by $ \, \color{orangered}{ -6x+2 }$. | 1 |
| 2162 | Multiply polynomial $ \, \color{blue}{ 2+6i } \, $ by $ \, \color{orangered}{ 2+6i }$. | 1 |
| 2163 | Add $ \, \color{blue}{ -4x+9 } \, $ and $ \, \color{orangered}{ 6x-14 }$. | 1 |
| 2164 | Add $ \, \color{blue}{ -3a-2 } \, $ and $ \, \color{orangered}{ 7a+5 }$. | 1 |
| 2165 | Add $ \, \color{blue}{ x^2+3x+5 } \, $ and $ \, \color{orangered}{ -x^2+6x-4 }$. | 1 |
| 2166 | Add $ \, \color{blue}{ t^2+3t^3-3 } \, $ and $ \, \color{orangered}{ 2t^2+7t-2t^3 }$. | 1 |
| 2167 | Subtract polynomials: $ \, \color{blue}{ g-4 } \, $ , $ \, \color{orangered}{ 3g-6 }$. | 1 |
| 2168 | Subtract polynomials: $ \, \color{blue}{ -5h-2 } \, $ , $ \, \color{orangered}{ 7h+6 }$. | 1 |
| 2169 | Subtract polynomials: $ \, \color{blue}{ -x^2-5 } \, $ , $ \, \color{orangered}{ -3x^2-x-8 }$. | 1 |
| 2170 | Subtract polynomials: $ \, \color{blue}{ k^2+6k^3-4 } \, $ , $ \, \color{orangered}{ 5k^3+7k-3k^2 }$. | 1 |
| 2171 | Multiply polynomial $ \, \color{blue}{ 4x+5 } \, $ by $ \, \color{orangered}{ 4x-5 }$. | 1 |
| 2172 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2+7x+2 }$. | 1 |
| 2173 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3+7x+2 }$. | 1 |
| 2174 | Multiply polynomial $ \, \color{blue}{ 3q^2+5q } \, $ by $ \, \color{orangered}{ 6q^2+8q+9 }$. | 1 |
| 2175 | Multiply polynomial $ \, \color{blue}{ x^5+x^2+x+1 } \, $ by $ \, \color{orangered}{ x^3+1 }$. | 1 |
| 2176 | Subtract polynomials: $ \, \color{blue}{ 5y^2-6y-11 } \, $ , $ \, \color{orangered}{ 6y^2+2y+5 }$. | 1 |
| 2177 | Add $ \, \color{blue}{ -8r^2+11r-6 } \, $ and $ \, \color{orangered}{ 7r^2-9r+14 }$. | 1 |
| 2178 | Subtract polynomials: $ \, \color{blue}{ 11b^2-4b+7 } \, $ , $ \, \color{orangered}{ b^2+8b-9 }$. | 1 |
| 2179 | Add $ \, \color{blue}{ 3-6n^5-8n^4 } \, $ and $ \, \color{orangered}{ -6n^4-3n-8n^5 }$. | 1 |
| 2180 | Add $ \, \color{blue}{ x+3 } \, $ and $ \, \color{orangered}{ x+2 }$. | 1 |
| 2181 | Multiply polynomial $ \, \color{blue}{ 5v^3 } \, $ by $ \, \color{orangered}{ 6v-8 }$. | 1 |
| 2182 | Add $ \, \color{blue}{ -3c-7c^2+4c^3 } \, $ and $ \, \color{orangered}{ 2c^2-4c^4+4 }$. | 1 |
| 2183 | Add $ \, \color{blue}{ 2a+4a^2-4 } \, $ and $ \, \color{orangered}{ -12a^2+2a-14 }$. | 1 |
| 2184 | Add $ \, \color{blue}{ b+4b^2-3 } \, $ and $ \, \color{orangered}{ 2b^2-2b^3+9 }$. | 1 |
| 2185 | Add $ \, \color{blue}{ 10x^2-1 } \, $ and $ \, \color{orangered}{ 5x^2-2x-5 }$. | 1 |
| 2186 | Add $ \, \color{blue}{ 5a-7a^2+1 } \, $ and $ \, \color{orangered}{ 3a^2-2a+3 }$. | 1 |
| 2187 | Multiply polynomial $ \, \color{blue}{ -2x-4 } \, $ by $ \, \color{orangered}{ -x+7 }$. | 1 |
| 2188 | Multiply polynomial $ \, \color{blue}{ 5x-7 } \, $ by $ \, \color{orangered}{ 4x-7 }$. | 1 |
| 2189 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ -4x^2-2x+7 }$. | 1 |
| 2190 | Multiply polynomial $ \, \color{blue}{ 66x^3+120x^2 } \, $ by $ \, \color{orangered}{ 80x^2-24x }$. | 1 |
| 2191 | Subtract polynomials: $ \, \color{blue}{ -2x } \, $ , $ \, \color{orangered}{ -x+2 }$. | 1 |
| 2192 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ x+5 }$. | 1 |
| 2193 | Add $ \, \color{blue}{ -2x^2-10x } \, $ and $ \, \color{orangered}{ -x }$. | 1 |
| 2194 | Add $ \, \color{blue}{ 7x-3 } \, $ and $ \, \color{orangered}{ 8x-3x-6 }$. | 1 |
| 2195 | Subtract polynomials: $ \, \color{blue}{ 6a^2-3a+4 } \, $ , $ \, \color{orangered}{ a^2+3a-6 }$. | 1 |
| 2196 | Add $ \, \color{blue}{ x^8+x^5+x^3 } \, $ and $ \, \color{orangered}{ x^8+x^7 }$. | 1 |
| 2197 | Multiply polynomial $ \, \color{blue}{ 9x+1 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 2198 | Multiply polynomial $ \, \color{blue}{ 4x+5 } \, $ by $ \, \color{orangered}{ 6x-5 }$. | 1 |
| 2199 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3x+8 }$. | 1 |
| 2200 | Add $ \, \color{blue}{ x^2+3x+2 } \, $ and $ \, \color{orangered}{ x^3-x^2-1 }$. | 1 |