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 |
| 351 | Multiply polynomial $ \, \color{blue}{ 6x-3x } \, $ by $ \, \color{orangered}{ -5x-6 }$. | 3 |
| 352 | 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 |
| 353 | Subtract polynomials: $ \, \color{blue}{ x^2+11x+28 } \, $ , $ \, \color{orangered}{ x+4 }$. | 3 |
| 354 | Multiply polynomial $ \, \color{blue}{ -2x^3-3x^2-15x-30 } \, $ by $ \, \color{orangered}{ x^3-3x-3 }$. | 3 |
| 355 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ 7x+12 }$. | 3 |
| 356 | Multiply polynomial $ \, \color{blue}{ 6x+1 } \, $ by $ \, \color{orangered}{ 3x-10 }$. | 3 |
| 357 | Subtract polynomials: $ \, \color{blue}{ -4b^2+6b-9 } \, $ , $ \, \color{orangered}{ 7b^2-2b-5 }$. | 3 |
| 358 | Multiply polynomial $ \, \color{blue}{ 4x+2 } \, $ by $ \, \color{orangered}{ 6x-4 }$. | 3 |
| 359 | Add $ \, \color{blue}{ -3x+9 } \, $ and $ \, \color{orangered}{ 7x^2-2x+1 }$. | 3 |
| 360 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 3 |
| 361 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-x+3 }$. | 3 |
| 362 | Multiply polynomial $ \, \color{blue}{ x^2+3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 3 |
| 363 | Multiply polynomial $ \, \color{blue}{ 7a+2 } \, $ by $ \, \color{orangered}{ 2a^2-5a+3 }$. | 3 |
| 364 | Subtract polynomials: $ \, \color{blue}{ 2x^2-2x+7 } \, $ , $ \, \color{orangered}{ x^2+2x+1 }$. | 3 |
| 365 | Subtract polynomials: $ \, \color{blue}{ 7x+3 } \, $ , $ \, \color{orangered}{ -x^2-5x+8 }$. | 3 |
| 366 | Multiply polynomial $ \, \color{blue}{ 7x+3 } \, $ by $ \, \color{orangered}{ -x^2-5x+8 }$. | 3 |
| 367 | Add $ \, \color{blue}{ 7 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 368 | Add $ \, \color{blue}{ -5x^2+4x-2 } \, $ and $ \, \color{orangered}{ -8x^2+2x+1 }$. | 3 |
| 369 | Multiply polynomial $ \, \color{blue}{ x^2-3x-54 } \, $ by $ \, \color{orangered}{ x+6 }$. | 3 |
| 370 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^3+x^2-1 }$. | 3 |
| 371 | Multiply polynomial $ \, \color{blue}{ x^2-1 } \, $ by $ \, \color{orangered}{ x^2+7x-6x-42 }$. | 3 |
| 372 | Multiply polynomial $ \, \color{blue}{ 2b^2+5 } \, $ by $ \, \color{orangered}{ 2b^3-2b-3 }$. | 3 |
| 373 | Multiply polynomial $ \, \color{blue}{ 3-7x } \, $ by $ \, \color{orangered}{ 3+7x }$. | 3 |
| 374 | Multiply polynomial $ \, \color{blue}{ 5x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+2 }$. | 3 |
| 375 | Multiply polynomial $ \, \color{blue}{ x^2-1 } \, $ by $ \, \color{orangered}{ x^2-x-12 }$. | 3 |
| 376 | Add $ \, \color{blue}{ x^3+8 } \, $ and $ \, \color{orangered}{ x-2 }$. | 3 |
| 377 | Add $ \, \color{blue}{ -\cancel{6}-1+ \cancel{6}-2 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 378 | Add $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ and $ \, \color{orangered}{ s^6+9s^5+8s^4+9s^3+12s^2+15s+20 }$. | 3 |
| 379 | Subtract polynomials: $ \, \color{blue}{ 3x^2-2x+4 } \, $ , $ \, \color{orangered}{ -3x^2+6x-10 }$. | 3 |
| 380 | Subtract polynomials: $ \, \color{blue}{ -5x+4 } \, $ , $ \, \color{orangered}{ 3x^2-7x+4 }$. | 3 |
| 381 | Subtract polynomials: $ \, \color{blue}{ 4y+10y-6 } \, $ , $ \, \color{orangered}{ 5y+27-2y }$. | 3 |
| 382 | 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 }$. | 3 |
| 383 | Subtract polynomials: $ \, \color{blue}{ 7x^3-x^4+3x^5+4x } \, $ , $ \, \color{orangered}{ -x^4-x^2+10x^5+4x^3 }$. | 3 |
| 384 | Multiply polynomial $ \, \color{blue}{ -3x-2 } \, $ by $ \, \color{orangered}{ -5x^2 }$. | 3 |
| 385 | Add $ \, \color{blue}{ 3w-1 } \, $ and $ \, \color{orangered}{ 9w^2-3w+4 }$. | 3 |
| 386 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 2x-4x^4 }$. | 3 |
| 387 | Add $ \, \color{blue}{ 2x-1 } \, $ and $ \, \color{orangered}{ 7x-2 }$. | 3 |
| 388 | Subtract polynomials: $ \, \color{blue}{ 7x^2+x } \, $ , $ \, \color{orangered}{ 9x^2+4x }$. | 3 |
| 389 | Multiply polynomial $ \, \color{blue}{ 5x^6+2x^5-4x^4+ \cancel{3x^3}+6x^2-x+7 -\cancel{3x^3}+2x^2+4x-2 } \, $ by $ \, \color{orangered}{ 4x^3 }$. | 3 |
| 390 | Add $ \, \color{blue}{ 3v^4-2+8v^2 } \, $ and $ \, \color{orangered}{ 6v^2+4-7v^4 }$. | 3 |
| 391 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 3 |
| 392 | Subtract polynomials: $ \, \color{blue}{ 5x+5 } \, $ , $ \, \color{orangered}{ -2x^2-2x-10 }$. | 3 |
| 393 | Add $ \, \color{blue}{ 7x^2+3x+7 } \, $ and $ \, \color{orangered}{ 6x^2+7x }$. | 3 |
| 394 | Add $ \, \color{blue}{ 9x-5 } \, $ and $ \, \color{orangered}{ 7x^2+9x+2 }$. | 3 |
| 395 | Subtract polynomials: $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ , $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 3 |
| 396 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$. | 3 |
| 397 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 7x^2-3x+13 }$. | 3 |
| 398 | Add $ \, \color{blue}{ 12x^3+6x-8 } \, $ and $ \, \color{orangered}{ -3x^3-5x^2-4x }$. | 3 |
| 399 | Add $ \, \color{blue}{ x^2-1 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 400 | Multiply polynomial $ \, \color{blue}{ 2d^4 } \, $ by $ \, \color{orangered}{ -3d^2 }$. | 3 |
