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 |
| 201 | Multiply polynomial $ \, \color{blue}{ 8+8x } \, $ by $ \, \color{orangered}{ 8-8x }$. | 5 |
| 202 | Multiply polynomial $ \, \color{blue}{ 3x^2-5x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 203 | Add $ \, \color{blue}{ 7x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 204 | Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ 4 }$. | 5 |
| 205 | Subtract polynomials: $ \, \color{blue}{ 10 } \, $ , $ \, \color{orangered}{ 2 }$. | 5 |
| 206 | Subtract polynomials: $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ , $ \, \color{orangered}{ s^6+9s^5+8s^4+9s^3+12s^2+15s+20 }$. | 5 |
| 207 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x-4 }$. | 5 |
| 208 | Add $ \, \color{blue}{ 5+7x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 209 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x+4 } \, $ , $ \, \color{orangered}{ 3x^2-4x-3 }$. | 5 |
| 210 | Subtract polynomials: $ \, \color{blue}{ 4n-3n^3 } \, $ , $ \, \color{orangered}{ 3n^3+4n }$. | 5 |
| 211 | Add $ \, \color{blue}{ -3x+7 } \, $ and $ \, \color{orangered}{ 5x-3 }$. | 5 |
| 212 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 2x^2+3x+5 }$. | 5 |
| 213 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ 2x^2-3x-2 }$. | 5 |
| 214 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x^2-3x-2 }$. | 5 |
| 215 | Multiply polynomial $ \, \color{blue}{ 5x^2-3 } \, $ by $ \, \color{orangered}{ x^2-2 }$. | 5 |
| 216 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+2 }$. | 5 |
| 217 | Subtract polynomials: $ \, \color{blue}{ 6x^3-3x^4-2 } \, $ , $ \, \color{orangered}{ 7x^4+2x^3-7x^2 }$. | 4 |
| 218 | Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+8x^2-3x+7 }$. | 4 |
| 219 | Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$. | 4 |
| 220 | Add $ \, \color{blue}{ 7x+3 } \, $ and $ \, \color{orangered}{ -x^2-5x+8 }$. | 4 |
| 221 | Add $ \, \color{blue}{ 3x^5+1 } \, $ and $ \, \color{orangered}{ 9x^5+3x-2 }$. | 4 |
| 222 | Subtract polynomials: $ \, \color{blue}{ 3x^3+3x^2+9 } \, $ , $ \, \color{orangered}{ 5x^3-7x^2+6x-9 }$. | 4 |
| 223 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 5+3x-4x^2 }$. | 4 |
| 224 | Multiply polynomial $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ by $ \, \color{orangered}{ s^6+9s^5+8s^4+9s^3+12s^2+15s+20 }$. | 4 |
| 225 | Multiply polynomial $ \, \color{blue}{ 20s^4+380s^3+2480s^2+6480s+5760 } \, $ by $ \, \color{orangered}{ s^4+17s^3+99s^2+223s+140 }$. | 4 |
| 226 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$. | 4 |
| 227 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$. | 4 |
| 228 | Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ 1 }$. | 4 |
| 229 | Add $ \, \color{blue}{ 3x^2-2x+1 } \, $ and $ \, \color{orangered}{ -x^2+3x+1 }$. | 4 |
| 230 | Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x }$. | 4 |
| 231 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 4 |
| 232 | Multiply polynomial $ \, \color{blue}{ x^2-x-2 } \, $ by $ \, \color{orangered}{ x^2+x-6 }$. | 4 |
| 233 | Multiply polynomial $ \, \color{blue}{ x^2-4x+5 } \, $ by $ \, \color{orangered}{ x^3-7x^2+8 }$. | 4 |
| 234 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x+4 } \, $ by $ \, \color{orangered}{ 3x^2-4x-3 }$. | 4 |
| 235 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+1 }$. | 4 |
| 236 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x } \, $ by $ \, \color{orangered}{ 7x^2-2x }$. | 4 |
| 237 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 3x+5 }$. | 4 |
| 238 | Multiply polynomial $ \, \color{blue}{ 5x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 4 |
| 239 | Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 4 |
| 240 | Multiply polynomial $ \, \color{blue}{ 5x-3 } \, $ by $ \, \color{orangered}{ 5x+11 }$. | 4 |
| 241 | Multiply polynomial $ \, \color{blue}{ 6x+1 } \, $ by $ \, \color{orangered}{ 3x+10 }$. | 4 |
| 242 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x-1 }$. | 4 |
| 243 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x-5 }$. | 4 |
| 244 | Add $ \, \color{blue}{ 9x^2+5x+8 } \, $ and $ \, \color{orangered}{ 9x-7 }$. | 4 |
| 245 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2-2x+1 }$. | 4 |
| 246 | Multiply polynomial $ \, \color{blue}{ x^50x^40x^3-4x^20x-6 } \, $ by $ \, \color{orangered}{ x-2 }$. | 4 |
| 247 | Multiply polynomial $ \, \color{blue}{ x-x^5 } \, $ by $ \, \color{orangered}{ x-x^8 }$. | 4 |
| 248 | Add $ \, \color{blue}{ 4x-5 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 4 |
| 249 | Subtract polynomials: $ \, \color{blue}{ \cancel{2x} -\cancel{2x}-1 } \, $ , $ \, \color{orangered}{ 4x+4x-6 }$. | 4 |
| 250 | Add $ \, \color{blue}{ 4+3x^2+8x^3 } \, $ and $ \, \color{orangered}{ -7x^3+12x^5+6x^2 }$. | 4 |
