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 |
| 601 | Add $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ and $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$. | 2 |
| 602 | Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$. | 2 |
| 603 | Multiply polynomial $ \, \color{blue}{ s^3+10s^2+29s+20 } \, $ by $ \, \color{orangered}{ s^4+26s^3+223s^2+630s }$. | 2 |
| 604 | Subtract polynomials: $ \, \color{blue}{ 20s^7+360s^6+2700s^5+11200s^4+27480s^3+37440s^2+21600s } \, $ , $ \, \color{orangered}{ s^7+36s^6+512s^5+3634s^4+13287s^3+22730s^2+12600s }$. | 2 |
| 605 | Multiply polynomial $ \, \color{blue}{ 20s^3+220s^2+720s+720 } \, $ by $ \, \color{orangered}{ s^3+10s^2+29s+20 }$. | 2 |
| 606 | Multiply polynomial $ \, \color{blue}{ 8x+2 } \, $ by $ \, \color{orangered}{ 7x+6 }$. | 2 |
| 607 | Multiply polynomial $ \, \color{blue}{ 8x-6 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 2 |
| 608 | Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+16x-3x+7 }$. | 2 |
| 609 | Multiply polynomial $ \, \color{blue}{ x-14 } \, $ by $ \, \color{orangered}{ x+4 }$. | 2 |
| 610 | Subtract polynomials: $ \, \color{blue}{ 12-11x-5x^5 } \, $ , $ \, \color{orangered}{ 4x^4+8x-4x^5+2x^3-1 }$. | 2 |
| 611 | Add $ \, \color{blue}{ x^3-5x^2+3x-7 } \, $ and $ \, \color{orangered}{ x^2-6x+5 }$. | 2 |
| 612 | Multiply polynomial $ \, \color{blue}{ x^2-6x+5 } \, $ by $ \, \color{orangered}{ x^3-5x^2+3x-7 }$. | 2 |
| 613 | Add $ \, \color{blue}{ 6x^2-11x+4 } \, $ and $ \, \color{orangered}{ x^2+10x-3x^3 }$. | 2 |
| 614 | Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ x^3 }$. | 2 |
| 615 | Multiply polynomial $ \, \color{blue}{ 5x^2+8x+8 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 616 | Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-x^2 }$. | 2 |
| 617 | Subtract polynomials: $ \, \color{blue}{ -18x^2+x-32 } \, $ , $ \, \color{orangered}{ 40-13x^2 }$. | 2 |
| 618 | Multiply polynomial $ \, \color{blue}{ x^2+2x-24 } \, $ by $ \, \color{orangered}{ x+6 }$. | 2 |
| 619 | Multiply polynomial $ \, \color{blue}{ 2x^2+6x-13 } \, $ by $ \, \color{orangered}{ x-9 }$. | 2 |
| 620 | Multiply polynomial $ \, \color{blue}{ 3x^2+5x-28 } \, $ by $ \, \color{orangered}{ 3x-7 }$. | 2 |
| 621 | Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ -2x^2 }$. | 2 |
| 622 | Multiply polynomial $ \, \color{blue}{ m^2-2m+1 } \, $ by $ \, \color{orangered}{ m^2-m+2 }$. | 2 |
| 623 | Subtract polynomials: $ \, \color{blue}{ 2x^2+53x+75 } \, $ , $ \, \color{orangered}{ x^2+5x+5 }$. | 2 |
| 624 | Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ x }$. | 2 |
| 625 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ x }$. | 2 |
| 626 | Add $ \, \color{blue}{ x+3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 627 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+2 }$. | 2 |
| 628 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 6x+1 }$. | 2 |
| 629 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ x^2-3x-3 }$. | 2 |
| 630 | Multiply polynomial $ \, \color{blue}{ r-1 } \, $ by $ \, \color{orangered}{ r^2-2r+3 }$. | 2 |
| 631 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+x^2+x+1 }$. | 2 |
| 632 | Multiply polynomial $ \, \color{blue}{ x^3+8 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 633 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3 }$. | 2 |
| 634 | Add $ \, \color{blue}{ 2x^2-3x+5 } \, $ and $ \, \color{orangered}{ x-5 }$. | 2 |
| 635 | Subtract polynomials: $ \, \color{blue}{ 2x-3 } \, $ , $ \, \color{orangered}{ 5x^2 }$. | 2 |
| 636 | Add $ \, \color{blue}{ 3x^2-2x+4 } \, $ and $ \, \color{orangered}{ -3x^2+6x-10 }$. | 2 |
| 637 | Multiply polynomial $ \, \color{blue}{ -2x+4 } \, $ by $ \, \color{orangered}{ 6x-10 }$. | 2 |
| 638 | Multiply polynomial $ \, \color{blue}{ x^2-9x-10 } \, $ by $ \, \color{orangered}{ x-10 }$. | 2 |
| 639 | Add $ \, \color{blue}{ 6m^5+1 } \, $ and $ \, \color{orangered}{ 2m^5+9m-1 }$. | 2 |
| 640 | Add $ \, \color{blue}{ 3m^5+1 } \, $ and $ \, \color{orangered}{ 9m^5+3m-2 }$. | 2 |
| 641 | Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 2 |
| 642 | Add $ \, \color{blue}{ -4x+4x^3+7+3x^3-9-3x } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 2 |
| 643 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ -3x^3-9+3x }$. | 2 |
| 644 | Add $ \, \color{blue}{ 3x^2-2x+1 } \, $ and $ \, \color{orangered}{ -x^2+3x+1 }$. | 2 |
| 645 | Add $ \, \color{blue}{ 8x^2-3x } \, $ and $ \, \color{orangered}{ 5x-5-8x^2 }$. | 2 |
| 646 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ x^2-5x+4 }$. | 2 |
| 647 | Add $ \, \color{blue}{ 12x^2-7 } \, $ and $ \, \color{orangered}{ x^2-5x-3 }$. | 2 |
| 648 | Multiply polynomial $ \, \color{blue}{ 2-3x+7x } \, $ by $ \, \color{orangered}{ -x+4x+7-5 }$. | 2 |
| 649 | Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$. | 2 |
| 650 | Add $ \, \color{blue}{ 9x+9 } \, $ and $ \, \color{orangered}{ -9x^2-8x+6 }$. | 2 |
