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 |
| 651 | Subtract polynomials: $ \, \color{blue}{ x^2+2x+5 } \, $ , $ \, \color{orangered}{ -2x^2+6 }$. | 2 |
| 652 | Subtract polynomials: $ \, \color{blue}{ -6x^2+x-6 } \, $ , $ \, \color{orangered}{ 4x^2-6x-4 }$. | 2 |
| 653 | Multiply polynomial $ \, \color{blue}{ x^2+10x-25 } \, $ by $ \, \color{orangered}{ x^2+x-42 }$. | 2 |
| 654 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 2 |
| 655 | Multiply polynomial $ \, \color{blue}{ x^2+5x+5x-25 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$. | 2 |
| 656 | Multiply polynomial $ \, \color{blue}{ 4x+9x-78x-83x-42 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 657 | Multiply polynomial $ \, \color{blue}{ x^2+1 } \, $ by $ \, \color{orangered}{ x^2+x-42 }$. | 2 |
| 658 | Multiply polynomial $ \, \color{blue}{ -2x^3 } \, $ by $ \, \color{orangered}{ -5x^4 }$. | 2 |
| 659 | Multiply polynomial $ \, \color{blue}{ -4v^2 } \, $ by $ \, \color{orangered}{ 7v }$. | 2 |
| 660 | Multiply polynomial $ \, \color{blue}{ y-3 } \, $ by $ \, \color{orangered}{ y+3 }$. | 2 |
| 661 | Multiply polynomial $ \, \color{blue}{ 9d+4 } \, $ by $ \, \color{orangered}{ 9d-4 }$. | 2 |
| 662 | Multiply polynomial $ \, \color{blue}{ 5-9v } \, $ by $ \, \color{orangered}{ 5+9v }$. | 2 |
| 663 | Multiply polynomial $ \, \color{blue}{ 5b-3 } \, $ by $ \, \color{orangered}{ 6b-5 }$. | 2 |
| 664 | Multiply polynomial $ \, \color{blue}{ 3+4c } \, $ by $ \, \color{orangered}{ 6+5c }$. | 2 |
| 665 | Multiply polynomial $ \, \color{blue}{ x^2-6x+13 } \, $ by $ \, \color{orangered}{ x^2-8x+15 }$. | 2 |
| 666 | Multiply polynomial $ \, \color{blue}{ y+3 } \, $ by $ \, \color{orangered}{ y+5 }$. | 2 |
| 667 | Multiply polynomial $ \, \color{blue}{ 2d } \, $ by $ \, \color{orangered}{ d^5-7d^3+4 }$. | 2 |
| 668 | Multiply polynomial $ \, \color{blue}{ -5 } \, $ by $ \, \color{orangered}{ 4m^2-5m-8 }$. | 2 |
| 669 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x+9 }$. | 2 |
| 670 | Multiply polynomial $ \, \color{blue}{ 4b-3 } \, $ by $ \, \color{orangered}{ 4b+3 }$. | 2 |
| 671 | Add $ \, \color{blue}{ 2x^2+3x-4 } \, $ and $ \, \color{orangered}{ x^2-3x-2 }$. | 2 |
| 672 | Add $ \, \color{blue}{ 3x^2+x+8 } \, $ and $ \, \color{orangered}{ x^2-9 }$. | 2 |
| 673 | Add $ \, \color{blue}{ -8+a^2-3a^4 } \, $ and $ \, \color{orangered}{ -4a^2-4a-2a^4 }$. | 2 |
| 674 | Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ 7x+3+8x^2 }$. | 2 |
| 675 | Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ -7x+3+8x^2 }$. | 2 |
| 676 | Multiply polynomial $ \, \color{blue}{ -2x+2 } \, $ by $ \, \color{orangered}{ -x^2 }$. | 2 |
| 677 | Add $ \, \color{blue}{ 2x^2+6x } \, $ and $ \, \color{orangered}{ -3x^2 }$. | 2 |
| 678 | Add $ \, \color{blue}{ x+4 } \, $ and $ \, \color{orangered}{ 4x }$. | 2 |
| 679 | Multiply polynomial $ \, \color{blue}{ -3x+3 } \, $ by $ \, \color{orangered}{ -x }$. | 2 |
| 680 | Add $ \, \color{blue}{ -4x } \, $ and $ \, \color{orangered}{ -5x+1 }$. | 2 |
| 681 | Add $ \, \color{blue}{ -3x } \, $ and $ \, \color{orangered}{ -x^2-4x }$. | 2 |
| 682 | Subtract polynomials: $ \, \color{blue}{ 3x^2-x } \, $ , $ \, \color{orangered}{ -5x }$. | 2 |
| 683 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ 4x+1 }$. | 2 |
| 684 | Subtract polynomials: $ \, \color{blue}{ -3x^2+x } \, $ , $ \, \color{orangered}{ -2x+3 }$. | 2 |
| 685 | Subtract polynomials: $ \, \color{blue}{ x+3 } \, $ , $ \, \color{orangered}{ x^2+4x }$. | 2 |
| 686 | Multiply polynomial $ \, \color{blue}{ -4x+6 } \, $ by $ \, \color{orangered}{ -2x+5 }$. | 2 |
| 687 | Add $ \, \color{blue}{ 3x^2-9x } \, $ and $ \, \color{orangered}{ -x+1 }$. | 2 |
| 688 | Multiply polynomial $ \, \color{blue}{ -5x+3 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 2 |
| 689 | Multiply polynomial $ \, \color{blue}{ 3x+6 } \, $ by $ \, \color{orangered}{ 3x+1 }$. | 2 |
| 690 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 691 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2-2x+1 }$. | 2 |
| 692 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ x^2+x+1 }$. | 2 |
| 693 | Multiply polynomial $ \, \color{blue}{ x^2+4x+2 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 2 |
| 694 | Multiply polynomial $ \, \color{blue}{ x^2+4x+4 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 2 |
| 695 | Add $ \, \color{blue}{ 7x^3-2 } \, $ and $ \, \color{orangered}{ 5x^3-x-3 }$. | 2 |
| 696 | Add $ \, \color{blue}{ 6x^5+1 } \, $ and $ \, \color{orangered}{ 2x^5+9x-1 }$. | 2 |
| 697 | Add $ \, \color{blue}{ -5x^2+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 2 |
| 698 | Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-40x^3 }$. | 2 |
| 699 | Subtract polynomials: $ \, \color{blue}{ -2x^3+x } \, $ , $ \, \color{orangered}{ 7x-3-7x^3 }$. | 2 |
| 700 | Multiply polynomial $ \, \color{blue}{ 8x^5 } \, $ by $ \, \color{orangered}{ 3x^5 }$. | 2 |