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 | Add $ \, \color{blue}{ -8x^4-8x^3-6x^2-9 } \, $ and $ \, \color{orangered}{ 4x^4+5x^3-10x+3 }$. | 1 |
| 1852 | Multiply polynomial $ \, \color{blue}{ x^4 } \, $ by $ \, \color{orangered}{ -3x^5 }$. | 1 |
| 1853 | Multiply polynomial $ \, \color{blue}{ x^2-4 } \, $ by $ \, \color{orangered}{ 3x-5 }$. | 1 |
| 1854 | Add $ \, \color{blue}{ -5x^2+3x-1 } \, $ and $ \, \color{orangered}{ 5x+1 }$. | 1 |
| 1855 | Subtract polynomials: $ \, \color{blue}{ 2x^2+4x-5 } \, $ , $ \, \color{orangered}{ -4x^2+3x-3 }$. | 1 |
| 1856 | Add $ \, \color{blue}{ x^3-x+3 } \, $ and $ \, \color{orangered}{ x^2-8 }$. | 1 |
| 1857 | Add $ \, \color{blue}{ 7a+6+8a^4 } \, $ and $ \, \color{orangered}{ 4+5a^4-2a }$. | 1 |
| 1858 | Subtract polynomials: $ \, \color{blue}{ 7a+6+8a^4 } \, $ , $ \, \color{orangered}{ 4+5a^4-2a }$. | 1 |
| 1859 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1860 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1861 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1862 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1863 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1864 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 1865 | Subtract polynomials: $ \, \color{blue}{ 5x^2+x^3-5+6x } \, $ , $ \, \color{orangered}{ 3-3x }$. | 1 |
| 1866 | Add $ \, \color{blue}{ 5x^2+x^3-5+6x } \, $ and $ \, \color{orangered}{ 3-3x }$. | 1 |
| 1867 | Add $ \, \color{blue}{ 8r^2+9r+7 } \, $ and $ \, \color{orangered}{ 9r^2+7r+3 }$. | 1 |
| 1868 | Subtract polynomials: $ \, \color{blue}{ -2x^2+2 } \, $ , $ \, \color{orangered}{ -3x^2+10 }$. | 1 |
| 1869 | Multiply polynomial $ \, \color{blue}{ -c^2 } \, $ by $ \, \color{orangered}{ 5c^3 }$. | 1 |
| 1870 | Add $ \, \color{blue}{ 2x^2-5x+8 } \, $ and $ \, \color{orangered}{ 6x^2-7x-12 }$. | 1 |
| 1871 | Add $ \, \color{blue}{ 2x+5 } \, $ and $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 1872 | Subtract polynomials: $ \, \color{blue}{ 9x^2+7x+8 } \, $ , $ \, \color{orangered}{ 5x^2-10x-7 }$. | 1 |
| 1873 | Multiply polynomial $ \, \color{blue}{ 3x^2-18x-9 } \, $ by $ \, \color{orangered}{ 2x^2-16x+2 }$. | 1 |
| 1874 | Add $ \, \color{blue}{ x^3+x^2-4x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1875 | Add $ \, \color{blue}{ 3x^3+4x^2-x+8 } \, $ and $ \, \color{orangered}{ x^3+7x^2+2x-16 }$. | 1 |
| 1876 | Add $ \, \color{blue}{ 4x^5-4x^2 } \, $ and $ \, \color{orangered}{ 5x^5+7x^2 }$. | 1 |
| 1877 | Subtract polynomials: $ \, \color{blue}{ 4x^3+3x^2-x+2 } \, $ , $ \, \color{orangered}{ 5x^3-3x^2+x-4 }$. | 1 |
| 1878 | Add $ \, \color{blue}{ 2x^2-5x+6 } \, $ and $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1879 | Multiply polynomial $ \, \color{blue}{ t-2 } \, $ by $ \, \color{orangered}{ 2t+4 }$. | 1 |
| 1880 | Multiply polynomial $ \, \color{blue}{ t-2 } \, $ by $ \, \color{orangered}{ t^2+4 }$. | 1 |
| 1881 | Add $ \, \color{blue}{ 2x^3+3x^2-x+6 } \, $ and $ \, \color{orangered}{ 2x+1 }$. | 1 |
| 1882 | Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$. | 1 |
| 1883 | Subtract polynomials: $ \, \color{blue}{ a-2a^2 } \, $ , $ \, \color{orangered}{ 3a^2-4a^3 }$. | 1 |
| 1884 | Subtract polynomials: $ \, \color{blue}{ 3a^2+1 } \, $ , $ \, \color{orangered}{ 4+2a^2 }$. | 1 |
| 1885 | Subtract polynomials: $ \, \color{blue}{ 4r^3+3r^4 } \, $ , $ \, \color{orangered}{ r^4-5r }$. | 1 |
| 1886 | Add $ \, \color{blue}{ 3+8x+11x^2+7x^3 } \, $ and $ \, \color{orangered}{ 190x+6x^20x^3 }$. | 1 |
| 1887 | Subtract polynomials: $ \, \color{blue}{ -6x^2-4 } \, $ , $ \, \color{orangered}{ 9x^2-7x }$. | 1 |
| 1888 | Add $ \, \color{blue}{ -6x^2-4 } \, $ and $ \, \color{orangered}{ 9x^2-7x }$. | 1 |
| 1889 | Add $ \, \color{blue}{ 3x^2-3x+9 } \, $ and $ \, \color{orangered}{ -5x^2-8x-7 }$. | 1 |
| 1890 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4+9 }$. | 1 |
| 1891 | Add $ \, \color{blue}{ -16x+3 } \, $ and $ \, \color{orangered}{ 2x+3x-8 }$. | 1 |
| 1892 | Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4+1 }$. | 1 |
| 1893 | Subtract polynomials: $ \, \color{blue}{ 4x^4-8x+4 } \, $ , $ \, \color{orangered}{ -8x^2+4x^4+1 }$. | 1 |
| 1894 | Subtract polynomials: $ \, \color{blue}{ 4x^4-8x+4 } \, $ , $ \, \color{orangered}{ 8x^2+4x^4+1 }$. | 1 |
| 1895 | Multiply polynomial $ \, \color{blue}{ 10x^2+8x } \, $ by $ \, \color{orangered}{ -9x+3 }$. | 1 |
| 1896 | Subtract polynomials: $ \, \color{blue}{ 7x^2+9x-7 } \, $ , $ \, \color{orangered}{ 2x^2+2x-5 }$. | 1 |
| 1897 | Multiply polynomial $ \, \color{blue}{ 12x+7 } \, $ by $ \, \color{orangered}{ -6x+2 }$. | 1 |
| 1898 | Multiply polynomial $ \, \color{blue}{ 2+6i } \, $ by $ \, \color{orangered}{ 2+6i }$. | 1 |
| 1899 | Add $ \, \color{blue}{ -4x+9 } \, $ and $ \, \color{orangered}{ 6x-14 }$. | 1 |
| 1900 | Add $ \, \color{blue}{ -3a-2 } \, $ and $ \, \color{orangered}{ 7a+5 }$. | 1 |
