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 |
| 751 | Subtract polynomials: $ \, \color{blue}{ 2z^{13}+11z^{10}+7z^7+9z^5 } \, $ , $ \, \color{orangered}{ 7z^{14}-7z^{10}+7z^7+4z^5 }$. | 2 |
| 752 | Multiply polynomial $ \, \color{blue}{ 2x+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 2 |
| 753 | Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 754 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 2 |
| 755 | Add $ \, \color{blue}{ 14x-2x^2-11 } \, $ and $ \, \color{orangered}{ -2x^2-5x-7 }$. | 2 |
| 756 | Add $ \, \color{blue}{ 9x^2+6 } \, $ and $ \, \color{orangered}{ 2x^2-x-10 }$. | 2 |
| 757 | Subtract polynomials: $ \, \color{blue}{ -10x^2+4x } \, $ , $ \, \color{orangered}{ -4x^2+6x+8 }$. | 2 |
| 758 | Subtract polynomials: $ \, \color{blue}{ -x^2-4x+1 } \, $ , $ \, \color{orangered}{ 2x^2+9 }$. | 2 |
| 759 | Multiply polynomial $ \, \color{blue}{ 2x^2-x+4 } \, $ by $ \, \color{orangered}{ 3x^2+x+4 }$. | 2 |
| 760 | Add $ \, \color{blue}{ 3x^4+2-2x^3 } \, $ and $ \, \color{orangered}{ 4x^3+4x^4 }$. | 2 |
| 761 | Add $ \, \color{blue}{ 7x^2-4 } \, $ and $ \, \color{orangered}{ 6x^3-4x-4x^4 }$. | 2 |
| 762 | Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$. | 2 |
| 763 | Subtract polynomials: $ \, \color{blue}{ 4x^3+6x-7 } \, $ , $ \, \color{orangered}{ 3x^3-5x^2-5x }$. | 2 |
| 764 | Multiply polynomial $ \, \color{blue}{ 5x^3 } \, $ by $ \, \color{orangered}{ 6x-8 }$. | 2 |
| 765 | Subtract polynomials: $ \, \color{blue}{ 12x^2-8x+11 } \, $ , $ \, \color{orangered}{ -14+10x^2-6x }$. | 2 |
| 766 | Add $ \, \color{blue}{ 8x^2-3x+9 } \, $ and $ \, \color{orangered}{ 4x^2+8x-2 }$. | 2 |
| 767 | Multiply polynomial $ \, \color{blue}{ x^2+3x } \, $ by $ \, \color{orangered}{ x^2-x+4 }$. | 2 |
| 768 | Subtract polynomials: $ \, \color{blue}{ 2x^2-9x+3 } \, $ , $ \, \color{orangered}{ 3x^2+3x-2 }$. | 2 |
| 769 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2+2x+4 }$. | 2 |
| 770 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+8 }$. | 2 |
| 771 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 772 | Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 2x+3 }$. | 2 |
| 773 | Multiply polynomial $ \, \color{blue}{ x-10 } \, $ by $ \, \color{orangered}{ x+2 }$. | 2 |
| 774 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ x+8 }$. | 2 |
| 775 | Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2x+10 }$. | 2 |
| 776 | Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ x^3-4x^2-2x+10 }$. | 2 |
| 777 | Add $ \, \color{blue}{ -5x^3+4x^2-8x+9 } \, $ and $ \, \color{orangered}{ 10x^3+10x^2-6x-3 }$. | 2 |
| 778 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 2 |
| 779 | Add $ \, \color{blue}{ 3u+6 } \, $ and $ \, \color{orangered}{ u^2+4 }$. | 2 |
| 780 | Multiply polynomial $ \, \color{blue}{ 2 } \, $ by $ \, \color{orangered}{ -3g^2-9 }$. | 2 |
| 781 | Add $ \, \color{blue}{ -2q^3+7q^2 } \, $ and $ \, \color{orangered}{ -q+8 }$. | 2 |
| 782 | Multiply polynomial $ \, \color{blue}{ 3x^2+x-2 } \, $ by $ \, \color{orangered}{ -4x^2-2x-1 }$. | 2 |
| 783 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+6 }$. | 2 |
| 784 | Multiply polynomial $ \, \color{blue}{ 3c-5 } \, $ by $ \, \color{orangered}{ 3c-5 }$. | 2 |
| 785 | Multiply polynomial $ \, \color{blue}{ -x-3 } \, $ by $ \, \color{orangered}{ 2x^2+5x+8 }$. | 2 |
| 786 | Multiply polynomial $ \, \color{blue}{ -4x^5 } \, $ by $ \, \color{orangered}{ 11x^3+2x^2+9x+1 }$. | 2 |
| 787 | Add $ \, \color{blue}{ 4t+8t+9 } \, $ and $ \, \color{orangered}{ 6t+5 }$. | 2 |
| 788 | Add $ \, \color{blue}{ 12x^5-3x^4+2x-5 } \, $ and $ \, \color{orangered}{ 8x^4-3x^3+4x+1 }$. | 2 |
| 789 | Subtract polynomials: $ \, \color{blue}{ 5x^6-2x^4+9x^3+2x-4 } \, $ , $ \, \color{orangered}{ 7x^5-8x^4+2x-11 }$. | 2 |
| 790 | Multiply polynomial $ \, \color{blue}{ 8b-2 } \, $ by $ \, \color{orangered}{ 3b^2+2b-2 }$. | 2 |
| 791 | Subtract polynomials: $ \, \color{blue}{ 7a^2-a+4 } \, $ , $ \, \color{orangered}{ 3a^2-4a-3 }$. | 2 |
| 792 | Multiply polynomial $ \, \color{blue}{ 2a } \, $ by $ \, \color{orangered}{ 5a^2+8a+8 }$. | 2 |
| 793 | Subtract polynomials: $ \, \color{blue}{ -18p^2+p-32 } \, $ , $ \, \color{orangered}{ 40-13p^2 }$. | 2 |
| 794 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-x+3 }$. | 2 |
| 795 | Add $ \, \color{blue}{ 5x^2+2x-8 } \, $ and $ \, \color{orangered}{ 3x^2-7x-1 }$. | 2 |
| 796 | Subtract polynomials: $ \, \color{blue}{ x-4-8x^2-8 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 797 | Subtract polynomials: $ \, \color{blue}{ 4x^2+5x } \, $ , $ \, \color{orangered}{ 3x^2-2x-3 }$. | 2 |
| 798 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 799 | Add $ \, \color{blue}{ 14x+3x-3 } \, $ and $ \, \color{orangered}{ 8x+5-6x-2x-3 }$. | 2 |
| 800 | Multiply polynomial $ \, \color{blue}{ 2x^2+5x+2 } \, $ by $ \, \color{orangered}{ x^2+2x-3 }$. | 2 |
