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 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x+4 }$. | 3 |
| 302 | Add $ \, \color{blue}{ 3t^2-5t+6 } \, $ and $ \, \color{orangered}{ -8t^2+7t-9 }$. | 3 |
| 303 | Add $ \, \color{blue}{ 7x^2+5x+1 } \, $ and $ \, \color{orangered}{ 5x^2+3x-2 }$. | 3 |
| 304 | Add $ \, \color{blue}{ 2x^2 } \, $ and $ \, \color{orangered}{ x-6 }$. | 3 |
| 305 | Subtract polynomials: $ \, \color{blue}{ x^2-6x-8 } \, $ , $ \, \color{orangered}{ 4x^2-3x-4 }$. | 3 |
| 306 | Add $ \, \color{blue}{ 4x^2-6x+4 } \, $ and $ \, \color{orangered}{ -7x^2+4x-2 }$. | 3 |
| 307 | Add $ \, \color{blue}{ 3x^2-6x+9 } \, $ and $ \, \color{orangered}{ x^2+3x+1 }$. | 3 |
| 308 | Add $ \, \color{blue}{ 3x^2-5+x } \, $ and $ \, \color{orangered}{ 8x^2+4-3x^2 }$. | 3 |
| 309 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ 3x^2+7x-5 }$. | 3 |
| 310 | Multiply polynomial $ \, \color{blue}{ 4r-6 } \, $ by $ \, \color{orangered}{ 4r+6 }$. | 3 |
| 311 | Multiply polynomial $ \, \color{blue}{ 2x-6 } \, $ by $ \, \color{orangered}{ x+4 }$. | 3 |
| 312 | Add $ \, \color{blue}{ x^2+4x-21 } \, $ and $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 313 | Multiply polynomial $ \, \color{blue}{ x^2+4x-21 } \, $ by $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 314 | Add $ \, \color{blue}{ 3x^3-5x^2+4x-7 } \, $ and $ \, \color{orangered}{ x^2+4x-21 }$. | 3 |
| 315 | Subtract polynomials: $ \, \color{blue}{ 10-5x-4x^2 } \, $ , $ \, \color{orangered}{ x-7 }$. | 3 |
| 316 | Subtract polynomials: $ \, \color{blue}{ x^2+3x-7 } \, $ , $ \, \color{orangered}{ x+5 }$. | 3 |
| 317 | Subtract polynomials: $ \, \color{blue}{ 3x^2 } \, $ , $ \, \color{orangered}{ 2x+4 }$. | 3 |
| 318 | Subtract polynomials: $ \, \color{blue}{ 2x^2+4x } \, $ , $ \, \color{orangered}{ x^2-4 }$. | 3 |
| 319 | Add $ \, \color{blue}{ 8x^2-x+4 } \, $ and $ \, \color{orangered}{ x-5 }$. | 3 |
| 320 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ 7x+12 }$. | 3 |
| 321 | Multiply polynomial $ \, \color{blue}{ 20s^4+380s^3+2480s^2+6480s+5760 } \, $ by $ \, \color{orangered}{ s^5+32s^4+363s^3+2092s^2+5052s+4320 }$. | 3 |
| 322 | Subtract polynomials: $ \, \color{blue}{ 7x^3-1 } \, $ , $ \, \color{orangered}{ 15x^3+4x^2-x+3 }$. | 3 |
| 323 | Multiply polynomial $ \, \color{blue}{ v-1 } \, $ by $ \, \color{orangered}{ 3v-3 }$. | 3 |
| 324 | Add $ \, \color{blue}{ 5x^2+x-10 } \, $ and $ \, \color{orangered}{ -12-x+3x^2 }$. | 3 |
| 325 | Multiply polynomial $ \, \color{blue}{ 6x+1 } \, $ by $ \, \color{orangered}{ 3x-10 }$. | 3 |
| 326 | Subtract polynomials: $ \, \color{blue}{ 7x^3+9x } \, $ , $ \, \color{orangered}{ 3x^3+2 }$. | 3 |
| 327 | Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-5-8x^2 }$. | 3 |
| 328 | Subtract polynomials: $ \, \color{blue}{ -4b^2+6b-9 } \, $ , $ \, \color{orangered}{ 7b^2-2b-5 }$. | 3 |
| 329 | Subtract polynomials: $ \, \color{blue}{ -x^2+x-4 } \, $ , $ \, \color{orangered}{ 3x^2-8x-2 }$. | 3 |
| 330 | Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^2-9x^2+8x-5 }$. | 3 |
| 331 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 3 |
| 332 | Add $ \, \color{blue}{ x^3-x^2+3x-5 } \, $ and $ \, \color{orangered}{ x^2-x+2 }$. | 3 |
| 333 | Add $ \, \color{blue}{ x^3+x^2+3x-5 } \, $ and $ \, \color{orangered}{ x^2-x+2 }$. | 3 |
| 334 | Multiply polynomial $ \, \color{blue}{ x^2+3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 3 |
| 335 | Multiply polynomial $ \, \color{blue}{ 7a+2 } \, $ by $ \, \color{orangered}{ 2a^2-5a+3 }$. | 3 |
| 336 | Subtract polynomials: $ \, \color{blue}{ 2x^2-2x+7 } \, $ , $ \, \color{orangered}{ x^2+2x+1 }$. | 3 |
| 337 | Multiply polynomial $ \, \color{blue}{ x^2-1 } \, $ by $ \, \color{orangered}{ x^2+7x-6x-42 }$. | 3 |
| 338 | Multiply polynomial $ \, \color{blue}{ a^2+3 } \, $ by $ \, \color{orangered}{ a+3 }$. | 3 |
| 339 | Subtract polynomials: $ \, \color{blue}{ -7n^2+59n+44 } \, $ , $ \, \color{orangered}{ n-9 }$. | 3 |
| 340 | Multiply polynomial $ \, \color{blue}{ 5-x } \, $ by $ \, \color{orangered}{ x+6 }$. | 3 |
| 341 | Multiply polynomial $ \, \color{blue}{ 4q-4 } \, $ by $ \, \color{orangered}{ 4q+4 }$. | 3 |
| 342 | Add $ \, \color{blue}{ -5x^2+4x-2 } \, $ and $ \, \color{orangered}{ -8x^2+2x+1 }$. | 3 |
| 343 | Multiply polynomial $ \, \color{blue}{ x^2-1 } \, $ by $ \, \color{orangered}{ x^2-x-12 }$. | 3 |
| 344 | Add $ \, \color{blue}{ 3x^4-5x+2 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$. | 3 |
| 345 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 346 | Multiply polynomial $ \, \color{blue}{ 6x-3x } \, $ by $ \, \color{orangered}{ -5x-6 }$. | 3 |
| 347 | Multiply polynomial $ \, \color{blue}{ 2x^3+2x^2-2 } \, $ by $ \, \color{orangered}{ -2x^6-2x^5+2x^3-2x^2-2x+2 }$. | 3 |
| 348 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 3 |
| 349 | Add $ \, \color{blue}{ x^2+x-2 } \, $ and $ \, \color{orangered}{ -2x^2-9x-7 }$. | 3 |
| 350 | Multiply polynomial $ \, \color{blue}{ 4x+2 } \, $ by $ \, \color{orangered}{ 6x-4 }$. | 3 |
