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 |
| 301 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 3x^4+4x }$. | 3 |
| 302 | Add $ \, \color{blue}{ 4m^4-m^2 } \, $ and $ \, \color{orangered}{ 5m^2+m^4 }$. | 3 |
| 303 | Add $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ and $ \, \color{orangered}{ -12+5x+6x^2 }$. | 3 |
| 304 | Multiply polynomial $ \, \color{blue}{ b^2-3b-6 } \, $ by $ \, \color{orangered}{ b^2-8b-3 }$. | 3 |
| 305 | Subtract polynomials: $ \, \color{blue}{ b^2-3b-6 } \, $ , $ \, \color{orangered}{ b^2-8b-3 }$. | 3 |
| 306 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x-3 }$. | 3 |
| 307 | Add $ \, \color{blue}{ 8t^2-7t } \, $ and $ \, \color{orangered}{ 8t^2+2 }$. | 3 |
| 308 | Multiply polynomial $ \, \color{blue}{ 5b-6 } \, $ by $ \, \color{orangered}{ 5b^2+4b-2 }$. | 3 |
| 309 | Add $ \, \color{blue}{ 9b^2 } \, $ and $ \, \color{orangered}{ 30b^2 }$. | 3 |
| 310 | Multiply polynomial $ \, \color{blue}{ 5p+3 } \, $ by $ \, \color{orangered}{ 8p+7 }$. | 3 |
| 311 | Add $ \, \color{blue}{ 2x^2+6x+1 } \, $ and $ \, \color{orangered}{ 3x^2+3x+9 }$. | 3 |
| 312 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x+4 }$. | 3 |
| 313 | Subtract polynomials: $ \, \color{blue}{ 5a^2-6a-4 } \, $ , $ \, \color{orangered}{ -7a^2+3a-9 }$. | 3 |
| 314 | Add $ \, \color{blue}{ 3t^2-5t+6 } \, $ and $ \, \color{orangered}{ -8t^2+7t-9 }$. | 3 |
| 315 | Add $ \, \color{blue}{ 2x^2 } \, $ and $ \, \color{orangered}{ x-6 }$. | 3 |
| 316 | Subtract polynomials: $ \, \color{blue}{ x^2-6x-8 } \, $ , $ \, \color{orangered}{ 4x^2-3x-4 }$. | 3 |
| 317 | Add $ \, \color{blue}{ 7x^2+5x+1 } \, $ and $ \, \color{orangered}{ 5x^2+3x-2 }$. | 3 |
| 318 | Add $ \, \color{blue}{ 4x^2-6x+4 } \, $ and $ \, \color{orangered}{ -7x^2+4x-2 }$. | 3 |
| 319 | Add $ \, \color{blue}{ 3x^2-6x+9 } \, $ and $ \, \color{orangered}{ x^2+3x+1 }$. | 3 |
| 320 | Add $ \, \color{blue}{ 3x^2-5+x } \, $ and $ \, \color{orangered}{ 8x^2+4-3x^2 }$. | 3 |
| 321 | Multiply polynomial $ \, \color{blue}{ 2x-6 } \, $ by $ \, \color{orangered}{ x+4 }$. | 3 |
| 322 | Multiply polynomial $ \, \color{blue}{ 4r-6 } \, $ by $ \, \color{orangered}{ 4r+6 }$. | 3 |
| 323 | Add $ \, \color{blue}{ x^2+4x-21 } \, $ and $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 324 | Multiply polynomial $ \, \color{blue}{ x^2+4x-21 } \, $ by $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 325 | Add $ \, \color{blue}{ 3x^3-5x^2+4x-7 } \, $ and $ \, \color{orangered}{ x^2+4x-21 }$. | 3 |
| 326 | Subtract polynomials: $ \, \color{blue}{ 10-5x-4x^2 } \, $ , $ \, \color{orangered}{ x-7 }$. | 3 |
| 327 | Subtract polynomials: $ \, \color{blue}{ x^2+3x-7 } \, $ , $ \, \color{orangered}{ x+5 }$. | 3 |
| 328 | Subtract polynomials: $ \, \color{blue}{ 3x^2 } \, $ , $ \, \color{orangered}{ 2x+4 }$. | 3 |
| 329 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ x^2+2x-4 }$. | 3 |
| 330 | Multiply polynomial $ \, \color{blue}{ -3v^2+6v-6 } \, $ by $ \, \color{orangered}{ -5v^2+5v+7 }$. | 3 |
| 331 | Multiply polynomial $ \, \color{blue}{ -7b^2-5b-2 } \, $ by $ \, \color{orangered}{ -b^2-5b+4 }$. | 3 |
| 332 | Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-5-8x^2 }$. | 3 |
| 333 | Subtract polynomials: $ \, \color{blue}{ -x^2+x-4 } \, $ , $ \, \color{orangered}{ 3x^2-8x-2 }$. | 3 |
| 334 | Multiply polynomial $ \, \color{blue}{ v-1 } \, $ by $ \, \color{orangered}{ 3v-3 }$. | 3 |
| 335 | Subtract polynomials: $ \, \color{blue}{ 2x^2+4x } \, $ , $ \, \color{orangered}{ x^2-4 }$. | 3 |
| 336 | Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^2-9x^2+8x-5 }$. | 3 |
| 337 | Subtract polynomials: $ \, \color{blue}{ 7x^3+9x } \, $ , $ \, \color{orangered}{ 3x^3+2 }$. | 3 |
| 338 | Add $ \, \color{blue}{ 5x^2+x-10 } \, $ and $ \, \color{orangered}{ -12-x+3x^2 }$. | 3 |
| 339 | Multiply polynomial $ \, \color{blue}{ a^2+3 } \, $ by $ \, \color{orangered}{ a+3 }$. | 3 |
| 340 | Multiply polynomial $ \, \color{blue}{ 5-x } \, $ by $ \, \color{orangered}{ x+6 }$. | 3 |
| 341 | Add $ \, \color{blue}{ 8x^2-x+4 } \, $ and $ \, \color{orangered}{ x-5 }$. | 3 |
| 342 | Add $ \, \color{blue}{ x^3-x^2+3x-5 } \, $ and $ \, \color{orangered}{ x^2-x+2 }$. | 3 |
| 343 | Subtract polynomials: $ \, \color{blue}{ -7n^2+59n+44 } \, $ , $ \, \color{orangered}{ n-9 }$. | 3 |
| 344 | Add $ \, \color{blue}{ x^2+x-2 } \, $ and $ \, \color{orangered}{ -2x^2-9x-7 }$. | 3 |
| 345 | Subtract polynomials: $ \, \color{blue}{ 7x^3-1 } \, $ , $ \, \color{orangered}{ 15x^3+4x^2-x+3 }$. | 3 |
| 346 | Add $ \, \color{blue}{ x^3+x^2+3x-5 } \, $ and $ \, \color{orangered}{ x^2-x+2 }$. | 3 |
| 347 | Multiply polynomial $ \, \color{blue}{ 4q-4 } \, $ by $ \, \color{orangered}{ 4q+4 }$. | 3 |
| 348 | Subtract polynomials: $ \, \color{blue}{ 8x-10 } \, $ , $ \, \color{orangered}{ x^2-2x }$. | 3 |
| 349 | Add $ \, \color{blue}{ 3x^4-5x+2 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$. | 3 |
| 350 | Multiply polynomial $ \, \color{blue}{ 2x^3+2x^2-2 } \, $ by $ \, \color{orangered}{ -2x^6-2x^5+2x^3-2x^2-2x+2 }$. | 3 |
