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 |
| 401 | Subtract polynomials: $ \, \color{blue}{ x^5+2x^4-4x^3-4x^2-5x-6 } \, $ , $ \, \color{orangered}{ x^50x^4-15x^3+30x^2-76x+120 }$. | 3 |
| 402 | Subtract polynomials: $ \, \color{blue}{ x^4-5x^2+x } \, $ , $ \, \color{orangered}{ 3x^4-2x^3+x+4 }$. | 2 |
| 403 | Multiply polynomial $ \, \color{blue}{ y^2+2y } \, $ by $ \, \color{orangered}{ y^2+5y+8 }$. | 2 |
| 404 | Multiply polynomial $ \, \color{blue}{ y^2+2y } \, $ by $ \, \color{orangered}{ y^2+5y+8 }$. | 2 |
| 405 | Subtract polynomials: $ \, \color{blue}{ -7a^2+3a-9 } \, $ , $ \, \color{orangered}{ 5a^2-6a-4 }$. | 2 |
| 406 | Add $ \, \color{blue}{ -7a^2+3a-9 } \, $ and $ \, \color{orangered}{ 5a^2-6a-4 }$. | 2 |
| 407 | Add $ \, \color{blue}{ -5x^2+x-8 } \, $ and $ \, \color{orangered}{ -3x^2+5x-2 }$. | 2 |
| 408 | Add $ \, \color{blue}{ 3n } \, $ and $ \, \color{orangered}{ -9n }$. | 2 |
| 409 | Add $ \, \color{blue}{ 4z-8z^6 } \, $ and $ \, \color{orangered}{ 3z^6+6z }$. | 2 |
| 410 | Multiply polynomial $ \, \color{blue}{ 6+7x } \, $ by $ \, \color{orangered}{ 8x-2 }$. | 2 |
| 411 | Subtract polynomials: $ \, \color{blue}{ -18x-4x-1 } \, $ , $ \, \color{orangered}{ 5x+10 }$. | 2 |
| 412 | Subtract polynomials: $ \, \color{blue}{ 18x-4 } \, $ , $ \, \color{orangered}{ 20x+9x-8 }$. | 2 |
| 413 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 414 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 2 |
| 415 | Add $ \, \color{blue}{ 2x^2+2x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 416 | Add $ \, \color{blue}{ x^3+3x^2-4x+5 } \, $ and $ \, \color{orangered}{ x+3 }$. | 2 |
| 417 | Subtract polynomials: $ \, \color{blue}{ x^3+3x^2-4x+5 } \, $ , $ \, \color{orangered}{ x+3 }$. | 2 |
| 418 | Multiply polynomial $ \, \color{blue}{ x^3+3x^2-4x+5 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 419 | Add $ \, \color{blue}{ 7x^3-2 } \, $ and $ \, \color{orangered}{ 5x^3-x-3 }$. | 2 |
| 420 | Add $ \, \color{blue}{ 8x^5-4 } \, $ and $ \, \color{orangered}{ 3x^5+x-2 }$. | 2 |
| 421 | Add $ \, \color{blue}{ 3x^5+1 } \, $ and $ \, \color{orangered}{ 9x^5+3x-2 }$. | 2 |
| 422 | Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 2 |
| 423 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ 3x^3-9-3x }$. | 2 |
| 424 | Add $ \, \color{blue}{ 3x^2-2x+1 } \, $ and $ \, \color{orangered}{ 9-x^2+3x+1 }$. | 2 |
| 425 | Subtract polynomials: $ \, \color{blue}{ 2x+x-4 } \, $ , $ \, \color{orangered}{ 3x^2-8x-2 }$. | 2 |
| 426 | Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-5-8x^2 }$. | 2 |
| 427 | Subtract polynomials: $ \, \color{blue}{ -x^2-5x-3 } \, $ , $ \, \color{orangered}{ -7x^2-8x-8 }$. | 2 |
| 428 | Subtract polynomials: $ \, \color{blue}{ 2x^3+x } \, $ , $ \, \color{orangered}{ 7x-3-7x^3 }$. | 2 |
| 429 | Subtract polynomials: $ \, \color{blue}{ 5x^3+5x^2+5 } \, $ , $ \, \color{orangered}{ 6x^3-6x^2+8x-5 }$. | 2 |
| 430 | Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^3-9x^2+8x-5 }$. | 2 |
| 431 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+2 }$. | 2 |
| 432 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x-5 }$. | 2 |
| 433 | Multiply polynomial $ \, \color{blue}{ x-8 } \, $ by $ \, \color{orangered}{ x-7 }$. | 2 |
| 434 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 2 |
| 435 | Multiply polynomial $ \, \color{blue}{ 2x+x } \, $ by $ \, \color{orangered}{ 4x-9x }$. | 2 |
| 436 | Multiply polynomial $ \, \color{blue}{ 6x-5 } \, $ by $ \, \color{orangered}{ 6x+1 }$. | 2 |
| 437 | Add $ \, \color{blue}{ 6x+7 } \, $ and $ \, \color{orangered}{ 6x-7 }$. | 2 |
| 438 | Multiply polynomial $ \, \color{blue}{ 6x+7 } \, $ by $ \, \color{orangered}{ 6x-7 }$. | 2 |
| 439 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-x+3 }$. | 2 |
| 440 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 5x^2+4x+7 }$. | 2 |
| 441 | Multiply polynomial $ \, \color{blue}{ 7a^4-2a^2 } \, $ by $ \, \color{orangered}{ 4a-15 }$. | 2 |
| 442 | Add $ \, \color{blue}{ 8x^4+24x^3-42x^2-18x+27 } \, $ and $ \, \color{orangered}{ 2x^2+6x-9 }$. | 2 |
| 443 | Add $ \, \color{blue}{ 3x-x^2+1 } \, $ and $ \, \color{orangered}{ 2x^3-x+5 }$. | 2 |
| 444 | Subtract polynomials: $ \, \color{blue}{ 3x-x^2+1 } \, $ , $ \, \color{orangered}{ 2x^3-x+5 }$. | 2 |
| 445 | Subtract polynomials: $ \, \color{blue}{ 2x^3-x+5 } \, $ , $ \, \color{orangered}{ 3x-x^2+1 }$. | 2 |
| 446 | Multiply polynomial $ \, \color{blue}{ 2x^3-x+5 } \, $ by $ \, \color{orangered}{ 3x-x^2+1 }$. | 2 |
| 447 | Subtract polynomials: $ \, \color{blue}{ 2x^2+x-3 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 448 | Add $ \, \color{blue}{ 3x^4-2+8x^2 } \, $ and $ \, \color{orangered}{ 6x^2+4-7x^4 }$. | 2 |
| 449 | Multiply polynomial $ \, \color{blue}{ 8x^2-2x-7x^2 } \, $ by $ \, \color{orangered}{ 6x+3x }$. | 2 |
| 450 | Multiply polynomial $ \, \color{blue}{ 8x-7 } \, $ by $ \, \color{orangered}{ 8x+7 }$. | 2 |
