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 | Subtract polynomials: $ \, \color{blue}{ -5x^2+5x-5 } \, $ , $ \, \color{orangered}{ 3x^2+x }$. | 2 |
| 852 | Multiply polynomial $ \, \color{blue}{ -14b-5b-2 } \, $ by $ \, \color{orangered}{ -2b-5b+4 }$. | 2 |
| 853 | Subtract polynomials: $ \, \color{blue}{ -9r-4+14r^2 } \, $ , $ \, \color{orangered}{ 2r-11r^2+5 }$. | 2 |
| 854 | Add $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ and $ \, \color{orangered}{ x^3-2x^2+x-4 }$. | 2 |
| 855 | Multiply polynomial $ \, \color{blue}{ 3x^3+3x^2-4x+5 } \, $ by $ \, \color{orangered}{ x^3-2x^2+x-4 }$. | 2 |
| 856 | Add $ \, \color{blue}{ 4x^3-5x^2+3x } \, $ and $ \, \color{orangered}{ -2x-x^2+6x }$. | 2 |
| 857 | Multiply polynomial $ \, \color{blue}{ 5x^4-2x^2-10x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 858 | Multiply polynomial $ \, \color{blue}{ 5a^5 } \, $ by $ \, \color{orangered}{ 4a^4 }$. | 2 |
| 859 | Multiply polynomial $ \, \color{blue}{ 2x^2-3 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$. | 2 |
| 860 | Add $ \, \color{blue}{ -2x^2-3x-5 } \, $ and $ \, \color{orangered}{ -2x^2-3x+8 }$. | 2 |
| 861 | Multiply polynomial $ \, \color{blue}{ s^5+41s^4+613s^3+3705s^2+9450s } \, $ by $ \, \color{orangered}{ s^5+32s^4+363s^3+2092s^2+5052s+4320 }$. | 2 |
| 862 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+248832000 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18408s^6+142405s^5+669884s^4+1847585s^3+2626050s^2+1323000s }$. | 2 |
| 863 | Add $ \, \color{blue}{ x+5 } \, $ and $ \, \color{orangered}{ x-2 }$. | 2 |
| 864 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 865 | Multiply polynomial $ \, \color{blue}{ 3x^2+x-4 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 866 | Add $ \, \color{blue}{ 7x+12 } \, $ and $ \, \color{orangered}{ 5x^2-3x+4 }$. | 2 |
| 867 | Subtract polynomials: $ \, \color{blue}{ 9x^2-4 } \, $ , $ \, \color{orangered}{ 10x^2+9x-8 }$. | 2 |
| 868 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x-1 } \, $ , $ \, \color{orangered}{ x^2+3x+3 }$. | 2 |
| 869 | Add $ \, \color{blue}{ 3f } \, $ and $ \, \color{orangered}{ 3f }$. | 2 |
| 870 | Add $ \, \color{blue}{ x^3+3x^2-18 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 871 | Add $ \, \color{blue}{ 4x^2-5x+3 } \, $ and $ \, \color{orangered}{ -5x^2-9x-5 }$. | 2 |
| 872 | Subtract polynomials: $ \, \color{blue}{ 6x^5+5x^3+11x-11 } \, $ , $ \, \color{orangered}{ -8x^4-10x^3+12x-4 }$. | 2 |
| 873 | Subtract polynomials: $ \, \color{blue}{ 2x^2+1 } \, $ , $ \, \color{orangered}{ x^2-2x+1 }$. | 2 |
| 874 | Subtract polynomials: $ \, \color{blue}{ 3-6x^5-8x^4 } \, $ , $ \, \color{orangered}{ -6x^4-3x-8x^5 }$. | 2 |
| 875 | Multiply polynomial $ \, \color{blue}{ 5x+7+x^2+6 } \, $ by $ \, \color{orangered}{ -3 }$. | 2 |
| 876 | Add $ \, \color{blue}{ 2x+1 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 877 | Add $ \, \color{blue}{ 5x^2-3 } \, $ and $ \, \color{orangered}{ 2x^2-3x^3 }$. | 2 |
| 878 | Multiply polynomial $ \, \color{blue}{ -7h^2 } \, $ by $ \, \color{orangered}{ -2h^3 }$. | 2 |
| 879 | Subtract polynomials: $ \, \color{blue}{ 3g^2+8g+1 } \, $ , $ \, \color{orangered}{ g^2+g+1 }$. | 2 |
| 880 | Add $ \, \color{blue}{ 3q+1 } \, $ and $ \, \color{orangered}{ 3q+6 }$. | 2 |
| 881 | Subtract polynomials: $ \, \color{blue}{ 7k^2+6k+3 } \, $ , $ \, \color{orangered}{ 4k^2 }$. | 2 |
| 882 | Subtract polynomials: $ \, \color{blue}{ 8z+7 } \, $ , $ \, \color{orangered}{ 3z+1 }$. | 2 |
| 883 | Add $ \, \color{blue}{ 7g+8 } \, $ and $ \, \color{orangered}{ 4g^2+2g+6 }$. | 2 |
| 884 | Add $ \, \color{blue}{ 4a^2+2a+2 } \, $ and $ \, \color{orangered}{ 3a^2+a+3 }$. | 2 |
| 885 | Subtract polynomials: $ \, \color{blue}{ 8x+2 } \, $ , $ \, \color{orangered}{ 4x+2 }$. | 2 |
| 886 | Add $ \, \color{blue}{ 7u^2+5u+7 } \, $ and $ \, \color{orangered}{ 3u+6 }$. | 2 |
| 887 | Add $ \, \color{blue}{ -2m^2-3m-8 } \, $ and $ \, \color{orangered}{ 7m^2+4m-8 }$. | 2 |
| 888 | Subtract polynomials: $ \, \color{blue}{ 9p^2-6 } \, $ , $ \, \color{orangered}{ -p+6 }$. | 2 |
| 889 | Multiply polynomial $ \, \color{blue}{ 6x^2-6x-5 } \, $ by $ \, \color{orangered}{ 7x^2+6x-5 }$. | 2 |
| 890 | Multiply polynomial $ \, \color{blue}{ 7x+5 } \, $ by $ \, \color{orangered}{ 11x-3 }$. | 2 |
| 891 | Add $ \, \color{blue}{ x^2+8x+3 } \, $ and $ \, \color{orangered}{ -7x^2+2x+5 }$. | 2 |
| 892 | Subtract polynomials: $ \, \color{blue}{ x^2+4x+3 } \, $ , $ \, \color{orangered}{ x^2-2x-4 }$. | 2 |
| 893 | Multiply polynomial $ \, \color{blue}{ 7x } \, $ by $ \, \color{orangered}{ x^2+6x-5 }$. | 2 |
| 894 | Subtract polynomials: $ \, \color{blue}{ -2a^2+a+6 } \, $ , $ \, \color{orangered}{ -3a^2+2a-5 }$. | 2 |
| 895 | Subtract polynomials: $ \, \color{blue}{ 7x^2-9x+3 } \, $ , $ \, \color{orangered}{ 12x^2+3x-8 }$. | 2 |
| 896 | Multiply polynomial $ \, \color{blue}{ 50x^3+40x^2+8x } \, $ by $ \, \color{orangered}{ 9x^2-24x+16 }$. | 2 |
| 897 | Multiply polynomial $ \, \color{blue}{ 5x-9 } \, $ by $ \, \color{orangered}{ 5x+9 }$. | 2 |
| 898 | Multiply polynomial $ \, \color{blue}{ -2x+7 } \, $ by $ \, \color{orangered}{ 2x+2x-4 }$. | 2 |
| 899 | Add $ \, \color{blue}{ 5x^2-3 } \, $ and $ \, \color{orangered}{ 2x^2-3x^3 }$. | 2 |
| 900 | Multiply polynomial $ \, \color{blue}{ x-9 } \, $ by $ \, \color{orangered}{ x-6 }$. | 2 |
