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 |
| 451 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+4 }$. | 2 |
| 452 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 453 | Multiply polynomial $ \, \color{blue}{ x+10 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 454 | Multiply polynomial $ \, \color{blue}{ 20x^2+200x+320 } \, $ by $ \, \color{orangered}{ x^2+9x+18 }$. | 2 |
| 455 | Multiply polynomial $ \, \color{blue}{ 3m-3 } \, $ by $ \, \color{orangered}{ 3m+3 }$. | 2 |
| 456 | Subtract polynomials: $ \, \color{blue}{ 5x^2-6x+5 } \, $ , $ \, \color{orangered}{ 2x^2-12x+8 }$. | 2 |
| 457 | Multiply polynomial $ \, \color{blue}{ 8x-x-9 } \, $ by $ \, \color{orangered}{ 2x-x+2 }$. | 2 |
| 458 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2-8 }$. | 2 |
| 459 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 460 | Multiply polynomial $ \, \color{blue}{ 5y } \, $ by $ \, \color{orangered}{ 3y^2-7y+4 }$. | 2 |
| 461 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 462 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^2-x^2+x }$. | 2 |
| 463 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$. | 2 |
| 464 | Multiply polynomial $ \, \color{blue}{ 9x^3+4x^2+6x+3 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 2 |
| 465 | Add $ \, \color{blue}{ -15x^6-26x^5-41x^4-18x^3-x^2+8x } \, $ and $ \, \color{orangered}{ x^2 }$. | 2 |
| 466 | Multiply polynomial $ \, \color{blue}{ 6x^3+x^2+9x+15 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 2 |
| 467 | Add $ \, \color{blue}{ -11x^6-9x^5-23x^4-24x^3-14x } \, $ and $ \, \color{orangered}{ x^2-x }$. | 2 |
| 468 | Add $ \, \color{blue}{ 3x-7x^2+2 } \, $ and $ \, \color{orangered}{ 4x^2-5+6x }$. | 2 |
| 469 | Subtract polynomials: $ \, \color{blue}{ 3x-7x^2+2 } \, $ , $ \, \color{orangered}{ 4x^2-5+6x }$. | 2 |
| 470 | Add $ \, \color{blue}{ 2x^3+2x^2-x+1 } \, $ and $ \, \color{orangered}{ -2x^3+5x^2+x+2 }$. | 2 |
| 471 | Add $ \, \color{blue}{ 3x+2 } \, $ and $ \, \color{orangered}{ 2x-9 }$. | 2 |
| 472 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x-9 }$. | 2 |
| 473 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 12x-4x+9 }$. | 2 |
| 474 | Subtract polynomials: $ \, \color{blue}{ 106 } \, $ , $ \, \color{orangered}{ 0 }$. | 2 |
| 475 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4x+9 }$. | 2 |
| 476 | Subtract polynomials: $ \, \color{blue}{ 2x^9+12x+x^5-8x^4 } \, $ , $ \, \color{orangered}{ 6x^{10}+11x^7+8x^5+2x^4 }$. | 2 |
| 477 | Subtract polynomials: $ \, \color{blue}{ -10x+3 } \, $ , $ \, \color{orangered}{ 7x^2+5x+10 }$. | 2 |
| 478 | Subtract polynomials: $ \, \color{blue}{ 3x-2 } \, $ , $ \, \color{orangered}{ 2x+1 }$. | 2 |
| 479 | Add $ \, \color{blue}{ 4x+2 } \, $ and $ \, \color{orangered}{ 4x-5 }$. | 2 |
| 480 | Subtract polynomials: $ \, \color{blue}{ x^2+2x-4 } \, $ , $ \, \color{orangered}{ -12x+3x-3 }$. | 2 |
| 481 | Add $ \, \color{blue}{ x+8 } \, $ and $ \, \color{orangered}{ x+5 }$. | 2 |
| 482 | Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4x+1 }$. | 2 |
| 483 | Subtract polynomials: $ \, \color{blue}{ 9x^2+4x } \, $ , $ \, \color{orangered}{ 4x^2-7 }$. | 2 |
| 484 | Subtract polynomials: $ \, \color{blue}{ 10x+10 } \, $ , $ \, \color{orangered}{ 7x^2+5x-8 }$. | 2 |
| 485 | Subtract polynomials: $ \, \color{blue}{ -x+2 } \, $ , $ \, \color{orangered}{ x^2+9x-2 }$. | 2 |
| 486 | Subtract polynomials: $ \, \color{blue}{ x+3 } \, $ , $ \, \color{orangered}{ 3x^2+6x-4 }$. | 2 |
| 487 | Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ x^2+6x+7 }$. | 2 |
| 488 | Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2-2x+7 }$. | 2 |
| 489 | Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2+3x-6 }$. | 2 |
| 490 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 491 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 492 | Multiply polynomial $ \, \color{blue}{ 2x^4-5x^3+4x^2-5 } \, $ by $ \, \color{orangered}{ 2x^3-5x^2-10 }$. | 2 |
| 493 | Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 2 |
| 494 | Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 3x-6 }$. | 2 |
| 495 | Multiply polynomial $ \, \color{blue}{ 2n+3 } \, $ by $ \, \color{orangered}{ n-2 }$. | 2 |
| 496 | Subtract polynomials: $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ , $ \, \color{orangered}{ -12+5x+6x^2 }$. | 2 |
| 497 | Multiply polynomial $ \, \color{blue}{ x^2-5x+4 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 498 | Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ -6x^2+3x-3 }$. | 2 |
| 499 | Subtract polynomials: $ \, \color{blue}{ 8a-6a+2 } \, $ , $ \, \color{orangered}{ 2a+3a-5 }$. | 2 |
| 500 | Add $ \, \color{blue}{ -3x^2+3x-8 } \, $ and $ \, \color{orangered}{ 6x^2-4x }$. | 2 |
