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 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$. | 2 |
| 752 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 2 |
| 753 | Multiply polynomial $ \, \color{blue}{ 3x^2-5x+3 } \, $ by $ \, \color{orangered}{ -2x^2-3x+2 }$. | 2 |
| 754 | Multiply polynomial $ \, \color{blue}{ x^2-2x-1 } \, $ by $ \, \color{orangered}{ 2x^2+4x-6 }$. | 2 |
| 755 | Multiply polynomial $ \, \color{blue}{ x^2+2x-2 } \, $ by $ \, \color{orangered}{ 3x^2-x-9 }$. | 2 |
| 756 | Multiply polynomial $ \, \color{blue}{ x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2+3x-7 }$. | 2 |
| 757 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 758 | Subtract polynomials: $ \, \color{blue}{ x^3+4x^2-25x-100 } \, $ , $ \, \color{orangered}{ 10x+50 }$. | 2 |
| 759 | Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 2x-3 }$. | 2 |
| 760 | Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 1-4x }$. | 2 |
| 761 | Add $ \, \color{blue}{ 2x-1 } \, $ and $ \, \color{orangered}{ 4x-2 }$. | 2 |
| 762 | Subtract polynomials: $ \, \color{blue}{ 3x^2+x-3 } \, $ , $ \, \color{orangered}{ 4x-2 }$. | 2 |
| 763 | Add $ \, \color{blue}{ -9x^4+19x^2-8x-12 } \, $ and $ \, \color{orangered}{ -6x }$. | 2 |
| 764 | Multiply polynomial $ \, \color{blue}{ 3x0 } \, $ by $ \, \color{orangered}{ 3x0 }$. | 2 |
| 765 | Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$. | 2 |
| 766 | Add $ \, \color{blue}{ 2x^2-6x-5 } \, $ and $ \, \color{orangered}{ -9x^2+5x-4 }$. | 2 |
| 767 | Add $ \, \color{blue}{ -3x^2+3x-8 } \, $ and $ \, \color{orangered}{ 6x^2-4x }$. | 2 |
| 768 | Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ -6x^2+3x-3 }$. | 2 |
| 769 | Subtract polynomials: $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ , $ \, \color{orangered}{ -12+5x+6x^2 }$. | 2 |
| 770 | Multiply polynomial $ \, \color{blue}{ 2n+3 } \, $ by $ \, \color{orangered}{ n-2 }$. | 2 |
| 771 | Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 3x-6 }$. | 2 |
| 772 | Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 2 |
| 773 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 774 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 775 | Add $ \, \color{blue}{ x+8 } \, $ and $ \, \color{orangered}{ x+5 }$. | 2 |
| 776 | Add $ \, \color{blue}{ 4x+2 } \, $ and $ \, \color{orangered}{ 4x-5 }$. | 2 |
| 777 | Subtract polynomials: $ \, \color{blue}{ 3x-2 } \, $ , $ \, \color{orangered}{ 2x+1 }$. | 2 |
| 778 | Subtract polynomials: $ \, \color{blue}{ 2x^9+12x+x^5-8x^4 } \, $ , $ \, \color{orangered}{ 6x^{10}+11x^7+8x^5+2x^4 }$. | 2 |
| 779 | Subtract polynomials: $ \, \color{blue}{ 106 } \, $ , $ \, \color{orangered}{ 0 }$. | 2 |
| 780 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x-9 }$. | 2 |
| 781 | Add $ \, \color{blue}{ 3x+2 } \, $ and $ \, \color{orangered}{ 2x-9 }$. | 2 |
| 782 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 12x-4x+9 }$. | 2 |
| 783 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4x+9 }$. | 2 |
| 784 | Subtract polynomials: $ \, \color{blue}{ -10x+3 } \, $ , $ \, \color{orangered}{ 7x^2+5x+10 }$. | 2 |
| 785 | Subtract polynomials: $ \, \color{blue}{ x^2+2x-4 } \, $ , $ \, \color{orangered}{ -12x+3x-3 }$. | 2 |
| 786 | Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4x+1 }$. | 2 |
| 787 | Subtract polynomials: $ \, \color{blue}{ 9x^2+4x } \, $ , $ \, \color{orangered}{ 4x^2-7 }$. | 2 |
| 788 | Subtract polynomials: $ \, \color{blue}{ 10x+10 } \, $ , $ \, \color{orangered}{ 7x^2+5x-8 }$. | 2 |
| 789 | Subtract polynomials: $ \, \color{blue}{ -x+2 } \, $ , $ \, \color{orangered}{ x^2+9x-2 }$. | 2 |
| 790 | Subtract polynomials: $ \, \color{blue}{ x+3 } \, $ , $ \, \color{orangered}{ 3x^2+6x-4 }$. | 2 |
| 791 | Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ x^2+6x+7 }$. | 2 |
| 792 | Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2-2x+7 }$. | 2 |
| 793 | Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2+3x-6 }$. | 2 |
| 794 | Multiply polynomial $ \, \color{blue}{ 2x^4-5x^3+4x^2-5 } \, $ by $ \, \color{orangered}{ 2x^3-5x^2-10 }$. | 2 |
| 795 | Multiply polynomial $ \, \color{blue}{ x^2-5x+4 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 796 | Subtract polynomials: $ \, \color{blue}{ 8a-6a+2 } \, $ , $ \, \color{orangered}{ 2a+3a-5 }$. | 2 |
| 797 | Subtract polynomials: $ \, \color{blue}{ 12m+8m-3 } \, $ , $ \, \color{orangered}{ 4m-m+4 }$. | 2 |
| 798 | Multiply polynomial $ \, \color{blue}{ 2x^3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 799 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 2 |
| 800 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x^2+2x-1 }$. | 2 |