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 |
| 901 | Multiply polynomial $ \, \color{blue}{ -x } \, $ by $ \, \color{orangered}{ -3x^3+2x-1 }$. | 2 |
| 902 | Multiply polynomial $ \, \color{blue}{ 3x-1 } \, $ by $ \, \color{orangered}{ 5+2x }$. | 2 |
| 903 | Add $ \, \color{blue}{ x^3+x^2-x-5 } \, $ and $ \, \color{orangered}{ x^4+2 }$. | 2 |
| 904 | Multiply polynomial $ \, \color{blue}{ x^3+x^2-x-5 } \, $ by $ \, \color{orangered}{ x^4+2 }$. | 2 |
| 905 | Multiply polynomial $ \, \color{blue}{ x^2-8 } \, $ by $ \, \color{orangered}{ x^4+2 }$. | 2 |
| 906 | Multiply polynomial $ \, \color{blue}{ x^6-8x^4+2x^2-16 } \, $ by $ \, \color{orangered}{ x^3-x+3 }$. | 2 |
| 907 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 2 |
| 908 | Subtract polynomials: $ \, \color{blue}{ 2x^2-4 } \, $ , $ \, \color{orangered}{ -x^2+3x-6 }$. | 2 |
| 909 | Multiply polynomial $ \, \color{blue}{ 4x^3+3x } \, $ by $ \, \color{orangered}{ 16x^2-12x^4+9x^2 }$. | 2 |
| 910 | Subtract polynomials: $ \, \color{blue}{ 4x^2 } \, $ , $ \, \color{orangered}{ 64 }$. | 2 |
| 911 | Subtract polynomials: $ \, \color{blue}{ 4x^3-12x^2-5 } \, $ , $ \, \color{orangered}{ -8x^2+4x+3 }$. | 2 |
| 912 | Subtract polynomials: $ \, \color{blue}{ x^2+3x-2 } \, $ , $ \, \color{orangered}{ -3x^2+4 }$. | 2 |
| 913 | Add $ \, \color{blue}{ x^2-4x } \, $ and $ \, \color{orangered}{ 3-x^2 }$. | 2 |
| 914 | Subtract polynomials: $ \, \color{blue}{ -c^2 } \, $ , $ \, \color{orangered}{ 5c^3 }$. | 2 |
| 915 | Add $ \, \color{blue}{ 12x^2+21x+9 } \, $ and $ \, \color{orangered}{ -18x^2-8-24x }$. | 2 |
| 916 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 2 |
| 917 | Subtract polynomials: $ \, \color{blue}{ -x^2-3x+3 } \, $ , $ \, \color{orangered}{ x^2-9x+6 }$. | 2 |
| 918 | Add $ \, \color{blue}{ 9p-12-3p^2 } \, $ and $ \, \color{orangered}{ -9+2p^2+4p }$. | 2 |
| 919 | Subtract polynomials: $ \, \color{blue}{ 15x^3-3x^2-1 } \, $ , $ \, \color{orangered}{ 10x^3-4x^2+14 }$. | 2 |
| 920 | Subtract polynomials: $ \, \color{blue}{ 8x^3+2x^2 } \, $ , $ \, \color{orangered}{ 14x^3-10x^2+9 }$. | 2 |
| 921 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ 5x^2-x+3 }$. | 2 |
| 922 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x+6 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 2 |
| 923 | Add $ \, \color{blue}{ 3x+1 } \, $ and $ \, \color{orangered}{ 2x+4 }$. | 2 |
| 924 | Add $ \, \color{blue}{ 4+2n^3 } \, $ and $ \, \color{orangered}{ 5n^3+2 }$. | 2 |
| 925 | Multiply polynomial $ \, \color{blue}{ -b+3 } \, $ by $ \, \color{orangered}{ -2b+5 }$. | 2 |
| 926 | Subtract polynomials: $ \, \color{blue}{ 4x^4-8x+4 } \, $ , $ \, \color{orangered}{ 8x^2+4x^4+1 }$. | 2 |
| 927 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2+1 }$. | 2 |
| 928 | Add $ \, \color{blue}{ -12k^2+4 } \, $ and $ \, \color{orangered}{ 4k }$. | 2 |
| 929 | Add $ \, \color{blue}{ 3x^4-3x } \, $ and $ \, \color{orangered}{ 3x-3x^4 }$. | 2 |
| 930 | Add $ \, \color{blue}{ 5v^3 } \, $ and $ \, \color{orangered}{ 6v-8 }$. | 2 |
| 931 | Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ 6x^2+3x-9 }$. | 2 |
| 932 | Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ -6x^2+3x-9 }$. | 2 |
| 933 | Add $ \, \color{blue}{ 4w+5-7w^2 } \, $ and $ \, \color{orangered}{ 3w^2-14 }$. | 2 |
| 934 | Subtract polynomials: $ \, \color{blue}{ b+4b^2-3 } \, $ , $ \, \color{orangered}{ -2b^2+2b^3-9 }$. | 2 |
| 935 | Add $ \, \color{blue}{ 9a+4a^2-6 } \, $ and $ \, \color{orangered}{ a^2+2a^2-7 }$. | 2 |
| 936 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -2x-5 }$. | 2 |
| 937 | Multiply polynomial $ \, \color{blue}{ -x+1 } \, $ by $ \, \color{orangered}{ 8x+3 }$. | 2 |
| 938 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 2 |
| 939 | Add $ \, \color{blue}{ 66x^3+120x^2 } \, $ and $ \, \color{orangered}{ 80x^2-24x }$. | 2 |
| 940 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 941 | Add $ \, \color{blue}{ 5x } \, $ and $ \, \color{orangered}{ -3x+3 }$. | 2 |
| 942 | Subtract polynomials: $ \, \color{blue}{ -2x^2-10x } \, $ , $ \, \color{orangered}{ -x }$. | 2 |
| 943 | Subtract polynomials: $ \, \color{blue}{ -x^2-4x } \, $ , $ \, \color{orangered}{ 4x }$. | 2 |
| 944 | Add $ \, \color{blue}{ 5p+3 } \, $ and $ \, \color{orangered}{ 8p+7 }$. | 2 |
| 945 | Add $ \, \color{blue}{ 2x^2-3x+5 } \, $ and $ \, \color{orangered}{ 3x+43 }$. | 2 |
| 946 | Multiply polynomial $ \, \color{blue}{ 7x+3 } \, $ by $ \, \color{orangered}{ 5x-6 }$. | 2 |
| 947 | Multiply polynomial $ \, \color{blue}{ x^2+3x+2 } \, $ by $ \, \color{orangered}{ x^3-x^2-1 }$. | 2 |
| 948 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$. | 2 |
| 949 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$. | 2 |
| 950 | Multiply polynomial $ \, \color{blue}{ 5x^3+3x^2+10x+11 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$. | 2 |