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 |
| 501 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -x+4 }$. | 2 |
| 502 | Multiply polynomial $ \, \color{blue}{ x^2-6x+13 } \, $ by $ \, \color{orangered}{ x^2-8x+15 }$. | 2 |
| 503 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x^2-3x }$. | 2 |
| 504 | Multiply polynomial $ \, \color{blue}{ y+3 } \, $ by $ \, \color{orangered}{ y+5 }$. | 2 |
| 505 | Multiply polynomial $ \, \color{blue}{ 2d } \, $ by $ \, \color{orangered}{ d^5-7d^3+4 }$. | 2 |
| 506 | Multiply polynomial $ \, \color{blue}{ -5 } \, $ by $ \, \color{orangered}{ 4m^2-5m-8 }$. | 2 |
| 507 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x+9 }$. | 2 |
| 508 | Multiply polynomial $ \, \color{blue}{ 4b-3 } \, $ by $ \, \color{orangered}{ 4b+3 }$. | 2 |
| 509 | Add $ \, \color{blue}{ 2x^2+3x-4 } \, $ and $ \, \color{orangered}{ x^2-3x-2 }$. | 2 |
| 510 | Add $ \, \color{blue}{ 3x^2+x+8 } \, $ and $ \, \color{orangered}{ x^2-9 }$. | 2 |
| 511 | Add $ \, \color{blue}{ -8+a^2-3a^4 } \, $ and $ \, \color{orangered}{ -4a^2-4a-2a^4 }$. | 2 |
| 512 | Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ 7x+3+8x^2 }$. | 2 |
| 513 | Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ -7x+3+8x^2 }$. | 2 |
| 514 | Multiply polynomial $ \, \color{blue}{ -2x+2 } \, $ by $ \, \color{orangered}{ -x^2 }$. | 2 |
| 515 | Multiply polynomial $ \, \color{blue}{ 2x+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 2 |
| 516 | Add $ \, \color{blue}{ 5w+4 } \, $ and $ \, \color{orangered}{ 2w-2 }$. | 2 |
| 517 | Add $ \, \color{blue}{ 3x+6 } \, $ and $ \, \color{orangered}{ -3x+6 }$. | 2 |
| 518 | Multiply polynomial $ \, \color{blue}{ 3x+6 } \, $ by $ \, \color{orangered}{ -3x+6 }$. | 2 |
| 519 | Add $ \, \color{blue}{ 10x^2+3x } \, $ and $ \, \color{orangered}{ 6x^2-7x }$. | 2 |
| 520 | Add $ \, \color{blue}{ 7x-2 } \, $ and $ \, \color{orangered}{ 4x-9 }$. | 2 |
| 521 | Multiply polynomial $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ by $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$. | 2 |
| 522 | Add $ \, \color{blue}{ 5x^3+6x } \, $ and $ \, \color{orangered}{ 7x^3-4x }$. | 2 |
| 523 | Add $ \, \color{blue}{ -x^2-4x } \, $ and $ \, \color{orangered}{ 9x^2-7x }$. | 2 |
| 524 | Add $ \, \color{blue}{ 4a^3 } \, $ and $ \, \color{orangered}{ 5a^3-3a }$. | 2 |
| 525 | Add $ \, \color{blue}{ 14y-2 } \, $ and $ \, \color{orangered}{ 16y-10 }$. | 2 |
| 526 | Add $ \, \color{blue}{ -4x-19 } \, $ and $ \, \color{orangered}{ 13x+7 }$. | 2 |
| 527 | Subtract polynomials: $ \, \color{blue}{ 5y^4+3y^3-6y^2+14 } \, $ , $ \, \color{orangered}{ -y^4+y^2-7y-1 }$. | 2 |
| 528 | Multiply polynomial $ \, \color{blue}{ -x^2-3x+4 } \, $ by $ \, \color{orangered}{ 3x^2+2x-1 }$. | 2 |
| 529 | Add $ \, \color{blue}{ 8x^2+1 } \, $ and $ \, \color{orangered}{ 3x^2-2 }$. | 2 |
| 530 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x-7 }$. | 2 |
| 531 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 3x^3-x^2+x }$. | 2 |
| 532 | Multiply polynomial $ \, \color{blue}{ x^2+x+4 } \, $ by $ \, \color{orangered}{ 2x^2-x+1 }$. | 2 |
| 533 | Multiply polynomial $ \, \color{blue}{ 16a+2a+8 } \, $ by $ \, \color{orangered}{ 27a+14a+5a+9 }$. | 2 |
| 534 | Multiply polynomial $ \, \color{blue}{ 8a^2+2a+8 } \, $ by $ \, \color{orangered}{ 9a^3+7a^2+5a+9 }$. | 2 |
| 535 | Add $ \, \color{blue}{ 8a^2+2a+8 } \, $ and $ \, \color{orangered}{ 9a^3+7a^2+5a+9 }$. | 2 |
| 536 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 2x^2+3x-1 }$. | 2 |
| 537 | Multiply polynomial $ \, \color{blue}{ x^3+x^2+1 } \, $ by $ \, \color{orangered}{ x^2-x-5 }$. | 2 |
| 538 | Multiply polynomial $ \, \color{blue}{ -4x+3 } \, $ by $ \, \color{orangered}{ 2x^2 }$. | 2 |
| 539 | Subtract polynomials: $ \, \color{blue}{ 5x } \, $ , $ \, \color{orangered}{ x+3 }$. | 2 |
| 540 | Subtract polynomials: $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ , $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$. | 2 |
| 541 | Add $ \, \color{blue}{ 2x^2-5x-2 } \, $ and $ \, \color{orangered}{ x^2+2x-3 }$. | 2 |
| 542 | Multiply polynomial $ \, \color{blue}{ 2x-x-6 } \, $ by $ \, \color{orangered}{ 2x-4x+3 }$. | 2 |
| 543 | Multiply polynomial $ \, \color{blue}{ 3x^2-2x+3 } \, $ by $ \, \color{orangered}{ 4x^2+5x }$. | 2 |
| 544 | Add $ \, \color{blue}{ 2x^2+5x+2 } \, $ and $ \, \color{orangered}{ x^2+2x-3 }$. | 2 |
| 545 | Add $ \, \color{blue}{ 2x+3x-3 } \, $ and $ \, \color{orangered}{ 14x+7x }$. | 2 |
| 546 | Multiply polynomial $ \, \color{blue}{ 2x+5x+4 } \, $ by $ \, \color{orangered}{ x+1 }$. | 2 |
| 547 | Multiply polynomial $ \, \color{blue}{ 2x^2+5x+2 } \, $ by $ \, \color{orangered}{ x^2+2x-3 }$. | 2 |
| 548 | Add $ \, \color{blue}{ 14x+3x-3 } \, $ and $ \, \color{orangered}{ 8x+5-6x-2x-3 }$. | 2 |
| 549 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 550 | Subtract polynomials: $ \, \color{blue}{ 4x^2+5x } \, $ , $ \, \color{orangered}{ 3x^2-2x-3 }$. | 2 |
