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}{ x^2-10x+25 } \, $ by $ \, \color{orangered}{ 2x+7 }$. | 1 |
| 1802 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1803 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x^3+4x^2-60x-50 }$. | 1 |
| 1804 | Multiply polynomial $ \, \color{blue}{ 10x^2-32x+6 } \, $ by $ \, \color{orangered}{ 2x }$. | 1 |
| 1805 | Multiply polynomial $ \, \color{blue}{ 7r-7 } \, $ by $ \, \color{orangered}{ 7r-7 }$. | 1 |
| 1806 | Subtract polynomials: $ \, \color{blue}{ -x+3 } \, $ , $ \, \color{orangered}{ -4x^2+2x+5 }$. | 1 |
| 1807 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ 2 }$. | 1 |
| 1808 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^2+x-3 }$. | 1 |
| 1809 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^3-5 }$. | 1 |
| 1810 | Add $ \, \color{blue}{ 6x^3+2x } \, $ and $ \, \color{orangered}{ 8x^3-9x^2+5 }$. | 1 |
| 1811 | Multiply polynomial $ \, \color{blue}{ 6x^3+2x } \, $ by $ \, \color{orangered}{ 8x^3-9x^2+5 }$. | 1 |
| 1812 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1813 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1814 | Multiply polynomial $ \, \color{blue}{ 3-2x } \, $ by $ \, \color{orangered}{ x }$. | 1 |
| 1815 | Multiply polynomial $ \, \color{blue}{ 3-2x } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1816 | Multiply polynomial $ \, \color{blue}{ 3-x } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 1817 | Multiply polynomial $ \, \color{blue}{ 11y+7 } \, $ by $ \, \color{orangered}{ y-2 }$. | 1 |
| 1818 | Multiply polynomial $ \, \color{blue}{ -8x^2+4x-2 } \, $ by $ \, \color{orangered}{ -6x^2-8x-4 }$. | 1 |
| 1819 | Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ -7x^2 }$. | 1 |
| 1820 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ -7 }$. | 1 |
| 1821 | Multiply polynomial $ \, \color{blue}{ -7x^2+14x-7 } \, $ by $ \, \color{orangered}{ x-2 }$. | 1 |
| 1822 | Multiply polynomial $ \, \color{blue}{ -7x^2+14x-7 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 1823 | Multiply polynomial $ \, \color{blue}{ x^2-12x+29 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1824 | Multiply polynomial $ \, \color{blue}{ x^2-6x } \, $ by $ \, \color{orangered}{ x^2-6x+4 }$. | 1 |
| 1825 | Multiply polynomial $ \, \color{blue}{ x^2-5x } \, $ by $ \, \color{orangered}{ x^2+10x+17 }$. | 1 |
| 1826 | Add $ \, \color{blue}{ -6x+6 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 1827 | Add $ \, \color{blue}{ 4x+5 } \, $ and $ \, \color{orangered}{ -5x-1 }$. | 1 |
| 1828 | Subtract polynomials: $ \, \color{blue}{ x-4 } \, $ , $ \, \color{orangered}{ 8x^2-8 }$. | 1 |
| 1829 | Subtract polynomials: $ \, \color{blue}{ -4x^2-5x-1 } \, $ , $ \, \color{orangered}{ 4x^2-6x-2 }$. | 1 |
| 1830 | Multiply polynomial $ \, \color{blue}{ 2x^3+4x^2-5 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 1831 | Multiply polynomial $ \, \color{blue}{ y^2+6y+9 } \, $ by $ \, \color{orangered}{ y+3 }$. | 1 |
| 1832 | Multiply polynomial $ \, \color{blue}{ 2x-9 } \, $ by $ \, \color{orangered}{ 2x+6 }$. | 1 |
| 1833 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x^2-5x+4 }$. | 1 |
| 1834 | Multiply polynomial $ \, \color{blue}{ x^2+2x-3 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1835 | Add $ \, \color{blue}{ 6x^3-8x+7 } \, $ and $ \, \color{orangered}{ -4x^3-4x^2+5x-3 }$. | 1 |
| 1836 | Add $ \, \color{blue}{ 7x^2+6x } \, $ and $ \, \color{orangered}{ 8x^2+3x+8 }$. | 1 |
| 1837 | Subtract polynomials: $ \, \color{blue}{ 8x^3+8x+8 } \, $ , $ \, \color{orangered}{ 7x+8 }$. | 1 |
| 1838 | Subtract polynomials: $ \, \color{blue}{ -5x-8 } \, $ , $ \, \color{orangered}{ -7x^2+5x+3 }$. | 1 |
| 1839 | Subtract polynomials: $ \, \color{blue}{ -4x^3-1 } \, $ , $ \, \color{orangered}{ -x+2 }$. | 1 |
| 1840 | Add $ \, \color{blue}{ 8x^2+3x+4 } \, $ and $ \, \color{orangered}{ 3x^2+5x+8 }$. | 1 |
| 1841 | Subtract polynomials: $ \, \color{blue}{ 7x^3+3x^2+2x+9 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1842 | Subtract polynomials: $ \, \color{blue}{ 9x^3+4x^2+8x+7 } \, $ , $ \, \color{orangered}{ 5x^3+2x^2+x+7 }$. | 1 |
| 1843 | Multiply polynomial $ \, \color{blue}{ 4x-4 } \, $ by $ \, \color{orangered}{ 4x+4 }$. | 1 |
| 1844 | Add $ \, \color{blue}{ 2x-4 } \, $ and $ \, \color{orangered}{ 3x^2-3x+4 }$. | 1 |
| 1845 | Multiply polynomial $ \, \color{blue}{ 2x-4 } \, $ by $ \, \color{orangered}{ 3x^2-3x+4 }$. | 1 |
| 1846 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ 4x+3 }$. | 1 |
| 1847 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+4 }$. | 1 |
| 1848 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 1849 | Multiply polynomial $ \, \color{blue}{ -3c-7c^2+4c^2 } \, $ by $ \, \color{orangered}{ 2c^2-4c^4+4 }$. | 1 |
| 1850 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-3x+3 }$. | 1 |
