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 |
| 1801 | Multiply polynomial $ \, \color{blue}{ 4x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x+6 }$. | 1 |
| 1802 | Multiply polynomial $ \, \color{blue}{ 8x^2-3x-6 } \, $ by $ \, \color{orangered}{ 2x^2+4x+1 }$. | 1 |
| 1803 | Multiply polynomial $ \, \color{blue}{ 5b^2+8b+1 } \, $ by $ \, \color{orangered}{ 2b^2-4b-7 }$. | 1 |
| 1804 | Add $ \, \color{blue}{ 8+8x } \, $ and $ \, \color{orangered}{ 8-8x }$. | 1 |
| 1805 | Multiply polynomial $ \, \color{blue}{ -3n+5 } \, $ by $ \, \color{orangered}{ 2n^2-4n-7 }$. | 1 |
| 1806 | Multiply polynomial $ \, \color{blue}{ 4x-6 } \, $ by $ \, \color{orangered}{ 5x^2+4x+3 }$. | 1 |
| 1807 | Multiply polynomial $ \, \color{blue}{ 7v+5 } \, $ by $ \, \color{orangered}{ 8v^2+5v-6 }$. | 1 |
| 1808 | Add $ \, \color{blue}{ x^3 } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 1809 | Multiply polynomial $ \, \color{blue}{ -2x^2-5x+7 } \, $ by $ \, \color{orangered}{ -2x^2+4x }$. | 1 |
| 1810 | Subtract polynomials: $ \, \color{blue}{ x^2+16 } \, $ , $ \, \color{orangered}{ x^2+4x+12 }$. | 1 |
| 1811 | Multiply polynomial $ \, \color{blue}{ 3x^2+10x-8 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1812 | Add $ \, \color{blue}{ x^2+2x+3 } \, $ and $ \, \color{orangered}{ 2x^3-2x^2-2 }$. | 1 |
| 1813 | Multiply polynomial $ \, \color{blue}{ 2x^3-3x^2+x-2 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 1814 | Multiply polynomial $ \, \color{blue}{ -4x+2 } \, $ by $ \, \color{orangered}{ 4x+4x^2+1 }$. | 1 |
| 1815 | Multiply polynomial $ \, \color{blue}{ 5x-2x^2 } \, $ by $ \, \color{orangered}{ -5+3x }$. | 1 |
| 1816 | Subtract polynomials: $ \, \color{blue}{ 10x+4x } \, $ , $ \, \color{orangered}{ 8x+4 }$. | 1 |
| 1817 | Subtract polynomials: $ \, \color{blue}{ 5x^2+4x } \, $ , $ \, \color{orangered}{ 8x+4 }$. | 1 |
| 1818 | Add $ \, \color{blue}{ 3w+7 } \, $ and $ \, \color{orangered}{ 9w+1 }$. | 1 |
| 1819 | Subtract polynomials: $ \, \color{blue}{ 5x-6 } \, $ , $ \, \color{orangered}{ x-7 }$. | 1 |
| 1820 | Subtract polynomials: $ \, \color{blue}{ 2c^2+7c+6 } \, $ , $ \, \color{orangered}{ 5c+3 }$. | 1 |
| 1821 | Subtract polynomials: $ \, \color{blue}{ 3c^2+5c-8 } \, $ , $ \, \color{orangered}{ c^2-5c+5 }$. | 1 |
| 1822 | Multiply polynomial $ \, \color{blue}{ y+3 } \, $ by $ \, \color{orangered}{ 2y^2-3y-4 }$. | 1 |
| 1823 | Add $ \, \color{blue}{ 5x^2+6x+6 } \, $ and $ \, \color{orangered}{ 3x^2-3x+2 }$. | 1 |
| 1824 | Add $ \, \color{blue}{ 3x+4+2x-6-x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1825 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 1826 | Subtract polynomials: $ \, \color{blue}{ -x^2+6x+2 } \, $ , $ \, \color{orangered}{ x^2-4x+3 }$. | 1 |
| 1827 | Add $ \, \color{blue}{ -4y^3-5y+16 } \, $ and $ \, \color{orangered}{ 4y^2-y+9 }$. | 1 |
| 1828 | Add $ \, \color{blue}{ 3x^2+4x-3 } \, $ and $ \, \color{orangered}{ 8x+5 }$. | 1 |
| 1829 | Add $ \, \color{blue}{ 30x^2+15x-20 } \, $ and $ \, \color{orangered}{ 10x+5 }$. | 1 |
| 1830 | Subtract polynomials: $ \, \color{blue}{ 30x^2+15x-20 } \, $ , $ \, \color{orangered}{ 10x+5 }$. | 1 |
| 1831 | Multiply polynomial $ \, \color{blue}{ 30x^2+15x-20 } \, $ by $ \, \color{orangered}{ 10x+5 }$. | 1 |
| 1832 | Add $ \, \color{blue}{ 300x^3+15x-90 } \, $ and $ \, \color{orangered}{ 80x+100 }$. | 1 |
| 1833 | Multiply polynomial $ \, \color{blue}{ 300x^3+15x-90 } \, $ by $ \, \color{orangered}{ 80x+100 }$. | 1 |
| 1834 | Subtract polynomials: $ \, \color{blue}{ 8x^3+4x^2-8x+3 } \, $ , $ \, \color{orangered}{ 8x^3-4x^2-x-9 }$. | 1 |
| 1835 | Subtract polynomials: $ \, \color{blue}{ 8a^2-7a+4 } \, $ , $ \, \color{orangered}{ a^2-8a+2 }$. | 1 |
| 1836 | Subtract polynomials: $ \, \color{blue}{ 8a^2-7a+4 } \, $ , $ \, \color{orangered}{ -a^2-8a+2 }$. | 1 |
| 1837 | Subtract polynomials: $ \, \color{blue}{ p^2-5p+6 } \, $ , $ \, \color{orangered}{ -5p^2+9p }$. | 1 |
| 1838 | Add $ \, \color{blue}{ -2n-5n-3 } \, $ and $ \, \color{orangered}{ -4n-9 }$. | 1 |
| 1839 | Subtract polynomials: $ \, \color{blue}{ 8y^2+5y+6 } \, $ , $ \, \color{orangered}{ y+1 }$. | 1 |
| 1840 | Add $ \, \color{blue}{ 5w^2+6w+3 } \, $ and $ \, \color{orangered}{ 6w^2+5w+1 }$. | 1 |
| 1841 | Subtract polynomials: $ \, \color{blue}{ 2x^2+9x+6 } \, $ , $ \, \color{orangered}{ 2x^2+2x+4 }$. | 1 |
| 1842 | Add $ \, \color{blue}{ 7x-5 } \, $ and $ \, \color{orangered}{ 9x^2-4x+2 }$. | 1 |
| 1843 | Add $ \, \color{blue}{ -2x^2+8x-8 } \, $ and $ \, \color{orangered}{ -2x^2+7x+7 }$. | 1 |
| 1844 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 4-3x }$. | 1 |
| 1845 | Multiply polynomial $ \, \color{blue}{ -2x^3 } \, $ by $ \, \color{orangered}{ 5x^6 }$. | 1 |
| 1846 | Multiply polynomial $ \, \color{blue}{ -9x^6 } \, $ by $ \, \color{orangered}{ -3x^7 }$. | 1 |
| 1847 | Multiply polynomial $ \, \color{blue}{ 8x^6 } \, $ by $ \, \color{orangered}{ -3x^8 }$. | 1 |
| 1848 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 1 |
| 1849 | Multiply polynomial $ \, \color{blue}{ x^2+x-6 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 1 |
| 1850 | Multiply polynomial $ \, \color{blue}{ 8x-5x+5 } \, $ by $ \, \color{orangered}{ -4x-x-2 }$. | 1 |