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 |
| 701 | Multiply polynomial $ \, \color{blue}{ -2+2x } \, $ by $ \, \color{orangered}{ -6+4x }$. | 2 |
| 702 | Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-8 } \, $ , $ \, \color{orangered}{ x^2-3x+4 }$. | 2 |
| 703 | Multiply polynomial $ \, \color{blue}{ -7x^2-1 } \, $ by $ \, \color{orangered}{ x^2-x-5 }$. | 2 |
| 704 | Subtract polynomials: $ \, \color{blue}{ 4x^2-1 } \, $ , $ \, \color{orangered}{ x^2-16 }$. | 2 |
| 705 | Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 6x^2-32x+32 }$. | 2 |
| 706 | Subtract polynomials: $ \, \color{blue}{ 9x^2-6x+1 } \, $ , $ \, \color{orangered}{ x^2+12x+36 }$. | 2 |
| 707 | Add $ \, \color{blue}{ -5x-5 } \, $ and $ \, \color{orangered}{ -x^2 }$. | 2 |
| 708 | Add $ \, \color{blue}{ -2x^3-x^2+8x-1 } \, $ and $ \, \color{orangered}{ 2x+9 }$. | 2 |
| 709 | Add $ \, \color{blue}{ 7x+1 } \, $ and $ \, \color{orangered}{ 8x^2+3x+9 }$. | 2 |
| 710 | Add $ \, \color{blue}{ 2x+2 } \, $ and $ \, \color{orangered}{ -4x^3-5x^2-8 }$. | 2 |
| 711 | Subtract polynomials: $ \, \color{blue}{ x^2+2x-9 } \, $ , $ \, \color{orangered}{ 8x-8 }$. | 2 |
| 712 | Subtract polynomials: $ \, \color{blue}{ 5x+6 } \, $ , $ \, \color{orangered}{ 5x^3+4x^2-9x+2 }$. | 2 |
| 713 | Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ -6x^2+5 }$. | 2 |
| 714 | Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ -6x-3 }$. | 2 |
| 715 | Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ 6x^2-3x+3 }$. | 2 |
| 716 | Multiply polynomial $ \, \color{blue}{ 8q-3 } \, $ by $ \, \color{orangered}{ 4q+7 }$. | 2 |
| 717 | Add $ \, \color{blue}{ 3a-4a } \, $ and $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 718 | Multiply polynomial $ \, \color{blue}{ 2b+4 } \, $ by $ \, \color{orangered}{ 8b+3b-4 }$. | 2 |
| 719 | Multiply polynomial $ \, \color{blue}{ 32x-81 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 720 | Multiply polynomial $ \, \color{blue}{ 3a+3 } \, $ by $ \, \color{orangered}{ 3a-2 }$. | 2 |
| 721 | Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 7x-4 }$. | 2 |
| 722 | Multiply polynomial $ \, \color{blue}{ k-2 } \, $ by $ \, \color{orangered}{ 6k+1 }$. | 2 |
| 723 | Multiply polynomial $ \, \color{blue}{ 3x+x^2 } \, $ by $ \, \color{orangered}{ 1+6x }$. | 2 |
| 724 | Subtract polynomials: $ \, \color{blue}{ -8x^2-3x } \, $ , $ \, \color{orangered}{ x^2+6x-10 }$. | 2 |
| 725 | Subtract polynomials: $ \, \color{blue}{ 3x^2+6x+6 } \, $ , $ \, \color{orangered}{ 2x^2+3x+3 }$. | 2 |
| 726 | Add $ \, \color{blue}{ 9d^2+8d+1 } \, $ and $ \, \color{orangered}{ 7d^2+d+5 }$. | 2 |
| 727 | Subtract polynomials: $ \, \color{blue}{ 6b+9 } \, $ , $ \, \color{orangered}{ 3b+1 }$. | 2 |
| 728 | Subtract polynomials: $ \, \color{blue}{ 8w^2+7w+9 } \, $ , $ \, \color{orangered}{ 4w^2+6 }$. | 2 |
| 729 | Add $ \, \color{blue}{ -2x+8 } \, $ and $ \, \color{orangered}{ -2x^2+4 }$. | 2 |
| 730 | Subtract polynomials: $ \, \color{blue}{ 9f+8 } \, $ , $ \, \color{orangered}{ 8f+8 }$. | 2 |
| 731 | Add $ \, \color{blue}{ 6g^2+3g+7 } \, $ and $ \, \color{orangered}{ 6g^2+9g+4 }$. | 2 |
| 732 | Subtract polynomials: $ \, \color{blue}{ 6a^4-3a^3-2a^2 } \, $ , $ \, \color{orangered}{ -2a^3-3a^2-4a }$. | 2 |
| 733 | Subtract polynomials: $ \, \color{blue}{ 9a^6+3a^5 } \, $ , $ \, \color{orangered}{ 4a^4-3a^2+9 }$. | 2 |
| 734 | Subtract polynomials: $ \, \color{blue}{ -3n^3+n^2 } \, $ , $ \, \color{orangered}{ 10n+9 }$. | 2 |
| 735 | Multiply polynomial $ \, \color{blue}{ 8a-2 } \, $ by $ \, \color{orangered}{ 3a^2+2a-2 }$. | 2 |
| 736 | Add $ \, \color{blue}{ 3v^4-2+8v^2 } \, $ and $ \, \color{orangered}{ 6v^2+4-7v }$. | 2 |
| 737 | Subtract polynomials: $ \, \color{blue}{ 4v^2-5-v^3 } \, $ , $ \, \color{orangered}{ 3-6v^3-3v^2 }$. | 2 |
| 738 | Subtract polynomials: $ \, \color{blue}{ 8y^2-5y+7 } \, $ , $ \, \color{orangered}{ 2y^2+7y+11 }$. | 2 |
| 739 | Add $ \, \color{blue}{ -t^4-5t^3-10t^2 } \, $ and $ \, \color{orangered}{ 9t^3+3t^2-1 }$. | 2 |
| 740 | Subtract polynomials: $ \, \color{blue}{ 2j+2 } \, $ , $ \, \color{orangered}{ 5j+6 }$. | 2 |
| 741 | Add $ \, \color{blue}{ 5u-5 } \, $ and $ \, \color{orangered}{ -u+1 }$. | 2 |
| 742 | Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 743 | Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 9x^2-4x+2 }$. | 2 |
| 744 | Add $ \, \color{blue}{ 2x+4x-5 } \, $ and $ \, \color{orangered}{ -5x^2+3x+1 }$. | 2 |
| 745 | Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x^2 }$. | 2 |
| 746 | Multiply polynomial $ \, \color{blue}{ 4x+1 } \, $ by $ \, \color{orangered}{ 3x+5 }$. | 2 |
| 747 | Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ -4x-3 }$. | 2 |
| 748 | Multiply polynomial $ \, \color{blue}{ 2x-7 } \, $ by $ \, \color{orangered}{ 2x^2+2x-1 }$. | 2 |
| 749 | Add $ \, \color{blue}{ -7x-8x^4 } \, $ and $ \, \color{orangered}{ -7x^4+1-2x }$. | 2 |
| 750 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ -5x+1 }$. | 2 |