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 |
| 1851 | Subtract polynomials: $ \, \color{blue}{ 21n+18n+6n } \, $ , $ \, \color{orangered}{ 6n+8n+3n }$. | 1 |
| 1852 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x^2-x+2 }$. | 1 |
| 1853 | Multiply polynomial $ \, \color{blue}{ 5x+3 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 1854 | Subtract polynomials: $ \, \color{blue}{ 5x+3 } \, $ , $ \, \color{orangered}{ x+1 }$. | 1 |
| 1855 | Add $ \, \color{blue}{ 8x+9 } \, $ and $ \, \color{orangered}{ 7x^2+7x+3 }$. | 1 |
| 1856 | Multiply polynomial $ \, \color{blue}{ 7x^3-1 } \, $ by $ \, \color{orangered}{ 15x^3+4x^2-x+3 }$. | 1 |
| 1857 | Add $ \, \color{blue}{ 16x+3x-4 } \, $ and $ \, \color{orangered}{ -4x+8x }$. | 1 |
| 1858 | Add $ \, \color{blue}{ 4x-6x-5 } \, $ and $ \, \color{orangered}{ -18x+5x-4 }$. | 1 |
| 1859 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ -4x-2x-9 }$. | 1 |
| 1860 | Add $ \, \color{blue}{ 4+2x^3 } \, $ and $ \, \color{orangered}{ 5x^3+2 }$. | 1 |
| 1861 | Subtract polynomials: $ \, \color{blue}{ 3x^2+1 } \, $ , $ \, \color{orangered}{ 4+2x^2 }$. | 1 |
| 1862 | Subtract polynomials: $ \, \color{blue}{ 5x+4 } \, $ , $ \, \color{orangered}{ 5x+3 }$. | 1 |
| 1863 | Subtract polynomials: $ \, \color{blue}{ 8x^2+10 } \, $ , $ \, \color{orangered}{ 6x-2 }$. | 1 |
| 1864 | Add $ \, \color{blue}{ x^2+3x } \, $ and $ \, \color{orangered}{ x^2-4x+9 }$. | 1 |
| 1865 | Subtract polynomials: $ \, \color{blue}{ x^2-6x+5 } \, $ , $ \, \color{orangered}{ x^2+x-2 }$. | 1 |
| 1866 | Subtract polynomials: $ \, \color{blue}{ 7x^3-1 } \, $ , $ \, \color{orangered}{ 15x^3+4x^2-x+3 }$. | 1 |
| 1867 | Add $ \, \color{blue}{ 10x-3+7x^2 } \, $ and $ \, \color{orangered}{ x^3-2x+17 }$. | 1 |
| 1868 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ x^2+6x-7 }$. | 1 |
| 1869 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+2x^2+2 }$. | 1 |
| 1870 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ 5x^3-x^2+x-4 }$. | 1 |
| 1871 | Multiply polynomial $ \, \color{blue}{ x^2-x-3 } \, $ by $ \, \color{orangered}{ x^2+4x+2 }$. | 1 |
| 1872 | Add $ \, \color{blue}{ x+6x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1873 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ 2x^2-3x-7 }$. | 1 |
| 1874 | Subtract polynomials: $ \, \color{blue}{ 7x^2+8x+6 } \, $ , $ \, \color{orangered}{ 2x^2+5x+2 }$. | 1 |
| 1875 | Add $ \, \color{blue}{ 6x^3+5x^2+4 } \, $ and $ \, \color{orangered}{ 4x^2 }$. | 1 |
| 1876 | Multiply polynomial $ \, \color{blue}{ 5x^2 } \, $ by $ \, \color{orangered}{ -6x }$. | 1 |
| 1877 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -x^2-1 }$. | 1 |
| 1878 | Multiply polynomial $ \, \color{blue}{ -5x^3+5x^2+7x } \, $ by $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 1879 | Subtract polynomials: $ \, \color{blue}{ -5x^3+5x^2+7x } \, $ , $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 1880 | Add $ \, \color{blue}{ 8x^2+9x+2 } \, $ and $ \, \color{orangered}{ x^2-3x+8 }$. | 1 |
| 1881 | Add $ \, \color{blue}{ x^2-x^4 } \, $ and $ \, \color{orangered}{ x^4-x^2 }$. | 1 |
| 1882 | Multiply polynomial $ \, \color{blue}{ 9x^2 } \, $ by $ \, \color{orangered}{ 12x+4 }$. | 1 |
| 1883 | Subtract polynomials: $ \, \color{blue}{ x^2+5x+6 } \, $ , $ \, \color{orangered}{ x+2 }$. | 1 |
| 1884 | Add $ \, \color{blue}{ x^2+5x+10 } \, $ and $ \, \color{orangered}{ x+1 }$. | 1 |
| 1885 | Subtract polynomials: $ \, \color{blue}{ 20x^5+16x^3-4x^2 } \, $ , $ \, \color{orangered}{ 9x^5+3x^2+4 }$. | 1 |
| 1886 | Multiply polynomial $ \, \color{blue}{ x^2-7x-30 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1887 | Subtract polynomials: $ \, \color{blue}{ -8x^2-8 } \, $ , $ \, \color{orangered}{ x-4 }$. | 1 |
| 1888 | Subtract polynomials: $ \, \color{blue}{ 7x^2-6x+2 } \, $ , $ \, \color{orangered}{ -6x^2+7x-8 }$. | 1 |
| 1889 | Multiply polynomial $ \, \color{blue}{ -5x-2 } \, $ by $ \, \color{orangered}{ 4x+8 }$. | 1 |
| 1890 | Multiply polynomial $ \, \color{blue}{ 3x^2+4 } \, $ by $ \, \color{orangered}{ x^5-3 }$. | 1 |
| 1891 | Multiply polynomial $ \, \color{blue}{ 4x^2+8x-41 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1892 | Multiply polynomial $ \, \color{blue}{ 4x^3-8x^2-73x+164 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 1 |
| 1893 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1894 | Subtract polynomials: $ \, \color{blue}{ -x^2-3x+3 } \, $ , $ \, \color{orangered}{ -x^2-9x+6 }$. | 1 |
| 1895 | Add $ \, \color{blue}{ -6x^2+3x } \, $ and $ \, \color{orangered}{ -x+6 }$. | 1 |
| 1896 | Subtract polynomials: $ \, \color{blue}{ 6+8n^2-3n } \, $ , $ \, \color{orangered}{ -1+7n^3-3n^2 }$. | 1 |
| 1897 | Subtract polynomials: $ \, \color{blue}{ 8a-4a^2-4 } \, $ , $ \, \color{orangered}{ -6-7a^2-a }$. | 1 |
| 1898 | Add $ \, \color{blue}{ 2b^3+6b^2+3+6b } \, $ and $ \, \color{orangered}{ 4b-5b^2-6b^3-1 }$. | 1 |
| 1899 | Add $ \, \color{blue}{ 6p+8+7p^4-5p^3 } \, $ and $ \, \color{orangered}{ 7p^4-2p^2+3p^3-6p }$. | 1 |
| 1900 | Multiply polynomial $ \, \color{blue}{ 5b-2 } \, $ by $ \, \color{orangered}{ 4b+7 }$. | 1 |
