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 |
| 851 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-5 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 2 |
| 852 | Multiply polynomial $ \, \color{blue}{ -5+4x } \, $ by $ \, \color{orangered}{ 3x+3 }$. | 2 |
| 853 | Add $ \, \color{blue}{ x^2-6x+9 } \, $ and $ \, \color{orangered}{ 2x^2-9x+9 }$. | 2 |
| 854 | Add $ \, \color{blue}{ -3x^2+8x+8 } \, $ and $ \, \color{orangered}{ -x^2-4x-6 }$. | 2 |
| 855 | Subtract polynomials: $ \, \color{blue}{ -7x^3+4x^2+6x+3 } \, $ , $ \, \color{orangered}{ -11x^3+8x^2+6x+9 }$. | 2 |
| 856 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+9 }$. | 2 |
| 857 | Multiply polynomial $ \, \color{blue}{ 10m+9 } \, $ by $ \, \color{orangered}{ 8m+7 }$. | 2 |
| 858 | Multiply polynomial $ \, \color{blue}{ y-1 } \, $ by $ \, \color{orangered}{ y^2-7y+2 }$. | 2 |
| 859 | Multiply polynomial $ \, \color{blue}{ 3x^2+7x-4 } \, $ by $ \, \color{orangered}{ 8x^2-6x+2 }$. | 2 |
| 860 | Add $ \, \color{blue}{ 7w^2+4w-6 } \, $ and $ \, \color{orangered}{ w^2-11w+13 }$. | 2 |
| 861 | Multiply polynomial $ \, \color{blue}{ 3x+4+2x-6-x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 862 | Subtract polynomials: $ \, \color{blue}{ 3x+4+2x-6-x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 863 | Multiply polynomial $ \, \color{blue}{ 3-4 } \, $ by $ \, \color{orangered}{ 7+y }$. | 2 |
| 864 | Subtract polynomials: $ \, \color{blue}{ 5n+8 } \, $ , $ \, \color{orangered}{ 2n-1 }$. | 2 |
| 865 | Subtract polynomials: $ \, \color{blue}{ 6x^2-7x-2 } \, $ , $ \, \color{orangered}{ 6x^2-2x+6 }$. | 2 |
| 866 | Subtract polynomials: $ \, \color{blue}{ 8x^2-8x } \, $ , $ \, \color{orangered}{ -6x^2-10x+4 }$. | 2 |
| 867 | Subtract polynomials: $ \, \color{blue}{ 8x^2-7x+8 } \, $ , $ \, \color{orangered}{ -4x^2+3x-3 }$. | 2 |
| 868 | Add $ \, \color{blue}{ 3x^3-5x^2+4x-7 } \, $ and $ \, \color{orangered}{ 4x^2-5x-10 }$. | 2 |
| 869 | Subtract polynomials: $ \, \color{blue}{ 10-5x-4x^2 } \, $ , $ \, \color{orangered}{ x-3 }$. | 2 |
| 870 | Add $ \, \color{blue}{ -4x^2-7 } \, $ and $ \, \color{orangered}{ 9x^2+4x }$. | 2 |
| 871 | Multiply polynomial $ \, \color{blue}{ x^2-3x+2 } \, $ by $ \, \color{orangered}{ x-4 }$. | 2 |
| 872 | Multiply polynomial $ \, \color{blue}{ x-10 } \, $ by $ \, \color{orangered}{ -3x+270 }$. | 2 |
| 873 | Add $ \, \color{blue}{ 5x^2-3 } \, $ and $ \, \color{orangered}{ x^2+3 }$. | 2 |
| 874 | Subtract polynomials: $ \, \color{blue}{ 3x^3+9x+7 } \, $ , $ \, \color{orangered}{ 2x^2-4x+13 }$. | 2 |
| 875 | Multiply polynomial $ \, \color{blue}{ 2x-10 } \, $ by $ \, \color{orangered}{ x^2+7x+5 }$. | 2 |
| 876 | Multiply polynomial $ \, \color{blue}{ 6x-26x-20x+175 } \, $ by $ \, \color{orangered}{ 2x+7 }$. | 2 |
| 877 | Add $ \, \color{blue}{ 8x-3x+2+20x } \, $ and $ \, \color{orangered}{ -x+12x+12x }$. | 2 |
| 878 | Multiply polynomial $ \, \color{blue}{ 10x-2 } \, $ by $ \, \color{orangered}{ x-3 }$. | 2 |
| 879 | Subtract polynomials: $ \, \color{blue}{ 2x-6x-4 } \, $ , $ \, \color{orangered}{ -4x+6x+10 }$. | 2 |
| 880 | Multiply polynomial $ \, \color{blue}{ 2x+2 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 2 |
| 881 | Multiply polynomial $ \, \color{blue}{ -2x^2+2x-4 } \, $ by $ \, \color{orangered}{ x^2-x-5 }$. | 2 |
| 882 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 4x-3 }$. | 2 |
| 883 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 4x^2-5+1 }$. | 2 |
| 884 | Add $ \, \color{blue}{ -3a^3+2a^2-4 } \, $ and $ \, \color{orangered}{ a^3-3a^2-5a+7 }$. | 2 |
| 885 | Subtract polynomials: $ \, \color{blue}{ 5y^4+3y^3-6y^2+14 } \, $ , $ \, \color{orangered}{ -y^4+y^2-7y-1 }$. | 2 |
| 886 | Multiply polynomial $ \, \color{blue}{ 4x^2+19x+12 } \, $ by $ \, \color{orangered}{ x^2-2x+1 }$. | 2 |
| 887 | Add $ \, \color{blue}{ 192425304906 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 888 | Multiply polynomial $ \, \color{blue}{ x^2+6x } \, $ by $ \, \color{orangered}{ x^2-6x+4 }$. | 2 |
| 889 | Multiply polynomial $ \, \color{blue}{ 23+17+35+29+12+41 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 890 | Add $ \, \color{blue}{ 9x^2+6 } \, $ and $ \, \color{orangered}{ 2x^2-x-10 }$. | 2 |
| 891 | Add $ \, \color{blue}{ 8x-10x } \, $ and $ \, \color{orangered}{ 2x^2+5x-5 }$. | 2 |
| 892 | Subtract polynomials: $ \, \color{blue}{ -6x+3 } \, $ , $ \, \color{orangered}{ 4x^2-2x }$. | 2 |
| 893 | Subtract polynomials: $ \, \color{blue}{ -6x^2+3 } \, $ , $ \, \color{orangered}{ 4x^2-2x }$. | 2 |
| 894 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-1 } \, $ by $ \, \color{orangered}{ -5x^2-2x+4 }$. | 2 |
| 895 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 3x+1 }$. | 2 |
| 896 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ 3x^2-x+6 }$. | 2 |
| 897 | Multiply polynomial $ \, \color{blue}{ x^2-x } \, $ by $ \, \color{orangered}{ x^2-10x+25 }$. | 2 |
| 898 | Subtract polynomials: $ \, \color{blue}{ -3x^3+3x^2-x+6 } \, $ , $ \, \color{orangered}{ -x^3-x^2-x+1 }$. | 2 |
| 899 | Subtract polynomials: $ \, \color{blue}{ 8x^4+3x^2 } \, $ , $ \, \color{orangered}{ 12x^4-x^2 }$. | 2 |
| 900 | Multiply polynomial $ \, \color{blue}{ -3x^2 } \, $ by $ \, \color{orangered}{ -2x^3 }$. | 2 |