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}{ 5x^4-2x^2-10x^2 } \, $ by $ \, \color{orangered}{ 0 }$. | 1 |
| 1802 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 4x^3+2x-1 }$. | 1 |
| 1803 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ 3x+6 }$. | 1 |
| 1804 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+9 }$. | 1 |
| 1805 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3705s^2+9450s }$. | 1 |
| 1806 | Subtract polynomials: $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+248832000 } \, $ , $ \, \color{orangered}{ s^9+58s^8+1409s^7+18408s^6+142405s^5+669884s^4+1847585s^3+2626050s^2+1323000s }$. | 1 |
| 1807 | Subtract polynomials: $ \, \color{blue}{ 2x^4-8x^3+3x^2+x-3 } \, $ , $ \, \color{orangered}{ -7x^4+6x^3-x^2+7x-6 }$. | 1 |
| 1808 | Add $ \, \color{blue}{ x-2 } \, $ and $ \, \color{orangered}{ x^2+3x+7 }$. | 1 |
| 1809 | Multiply polynomial $ \, \color{blue}{ 6-2x } \, $ by $ \, \color{orangered}{ 6-2x }$. | 1 |
| 1810 | Multiply polynomial $ \, \color{blue}{ 3m+7 } \, $ by $ \, \color{orangered}{ 7m-6 }$. | 1 |
| 1811 | Add $ \, \color{blue}{ 3m+7 } \, $ and $ \, \color{orangered}{ 7m-6 }$. | 1 |
| 1812 | Add $ \, \color{blue}{ 8b-4 } \, $ and $ \, \color{orangered}{ 8b+6 }$. | 1 |
| 1813 | Multiply polynomial $ \, \color{blue}{ x^3-216 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1814 | Add $ \, \color{blue}{ 4x^2-8 } \, $ and $ \, \color{orangered}{ 2x^2-8 }$. | 1 |
| 1815 | Multiply polynomial $ \, \color{blue}{ 2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1816 | Multiply polynomial $ \, \color{blue}{ 9x^2-9x-7 } \, $ by $ \, \color{orangered}{ -x^2+6x+2 }$. | 1 |
| 1817 | Add $ \, \color{blue}{ -3x-5 } \, $ and $ \, \color{orangered}{ 3x^2+x-1 }$. | 1 |
| 1818 | Add $ \, \color{blue}{ 3x+2x+x+1 } \, $ and $ \, \color{orangered}{ 4x+2x+x+1 }$. | 1 |
| 1819 | Add $ \, \color{blue}{ 3x+2x } \, $ and $ \, \color{orangered}{ 4x+2x+x+1 }$. | 1 |
| 1820 | Add $ \, \color{blue}{ 3x+2x+x+1 } \, $ and $ \, \color{orangered}{ 4x+2x+x+1 }$. | 1 |
| 1821 | Add $ \, \color{blue}{ 3x+2x } \, $ and $ \, \color{orangered}{ 4x+2x+x+1 }$. | 1 |
| 1822 | Subtract polynomials: $ \, \color{blue}{ 6x^3+5x^3+11x-11 } \, $ , $ \, \color{orangered}{ -8x^4-10x^3+12x-4 }$. | 1 |
| 1823 | Multiply polynomial $ \, \color{blue}{ 3x^2-8x^3-7 } \, $ by $ \, \color{orangered}{ 4x^2+x^3-8 }$. | 1 |
| 1824 | Add $ \, \color{blue}{ 7m^2-9m-8 } \, $ and $ \, \color{orangered}{ 5m^2+10m+4 }$. | 1 |
| 1825 | Add $ \, \color{blue}{ 4x^2+14+3x^2 } \, $ and $ \, \color{orangered}{ -3x^4-14x^2-8 }$. | 1 |
| 1826 | Add $ \, \color{blue}{ 6x^2+3x+1 } \, $ and $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 1827 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 1828 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1829 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ x+6 }$. | 1 |
| 1830 | Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 1 |
| 1831 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 5x+7 }$. | 1 |
| 1832 | Multiply polynomial $ \, \color{blue}{ 5x+7+x^2+6 } \, $ by $ \, \color{orangered}{ x }$. | 1 |
| 1833 | Add $ \, \color{blue}{ 4+2x^3 } \, $ and $ \, \color{orangered}{ 5x^3+2 }$. | 1 |
| 1834 | Add $ \, \color{blue}{ 5w+4 } \, $ and $ \, \color{orangered}{ 6w^2+5w+8 }$. | 1 |
| 1835 | Multiply polynomial $ \, \color{blue}{ 3x-3 } \, $ by $ \, \color{orangered}{ -3x-6 }$. | 1 |
| 1836 | Multiply polynomial $ \, \color{blue}{ 3x-3 } \, $ by $ \, \color{orangered}{ -3x-6 }$. | 1 |
| 1837 | Subtract polynomials: $ \, \color{blue}{ -7r-9 } \, $ , $ \, \color{orangered}{ -8r-7 }$. | 1 |
| 1838 | Add $ \, \color{blue}{ 8c^2+2 } \, $ and $ \, \color{orangered}{ 9c^3+3c^2+3c+7 }$. | 1 |
| 1839 | Subtract polynomials: $ \, \color{blue}{ 6z^3+3z^2+5z+8 } \, $ , $ \, \color{orangered}{ 6z^3+3z^2+3z+6 }$. | 1 |
| 1840 | Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1841 | Multiply polynomial $ \, \color{blue}{ -2x+1 } \, $ by $ \, \color{orangered}{ -x^2 }$. | 1 |
| 1842 | Multiply polynomial $ \, \color{blue}{ -29x^9+666x^8+x^7+133x^6+29x^4-x^3+6x^2+1 } \, $ by $ \, \color{orangered}{ x^2-5x+1 }$. | 1 |
| 1843 | Multiply polynomial $ \, \color{blue}{ 666x^8+x^7+133x^6+29x^4-x^3+6x^2+1 } \, $ by $ \, \color{orangered}{ x^2-5x+1 }$. | 1 |
| 1844 | Multiply polynomial $ \, \color{blue}{ -30222x+6352x-4648x+972x-730x+160x-93x+14x-5x+1 } \, $ by $ \, \color{orangered}{ -x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1 }$. | 1 |
| 1845 | Multiply polynomial $ \, \color{blue}{ -3358x^9+794x^8-664x^7+162x^6-146x^5+40x^4-31x^3+7x^2-5x+1 } \, $ by $ \, \color{orangered}{ -x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1 }$. | 1 |
| 1846 | Multiply polynomial $ \, \color{blue}{ -29x^9+666x^8+x^7+133x^6+29x^4-x^3+6x^2+1 } \, $ by $ \, \color{orangered}{ -x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1 }$. | 1 |
| 1847 | Multiply polynomial $ \, \color{blue}{ -864x^9+835x^8-169x^7+170x^6-37x^5+37x^4-8x^3+7x^2-x+1 } \, $ by $ \, \color{orangered}{ x^2-5x+1 }$. | 1 |
| 1848 | Subtract polynomials: $ \, \color{blue}{ 7x^2+6x-9 } \, $ , $ \, \color{orangered}{ 4x^2-9x+6 }$. | 1 |
| 1849 | Add $ \, \color{blue}{ 8x^3-2x^2-4x+8 } \, $ and $ \, \color{orangered}{ 5x^2+6x-4 }$. | 1 |
| 1850 | Add $ \, \color{blue}{ 3x^3+12x^2+11x-2 } \, $ and $ \, \color{orangered}{ x+2 }$. | 1 |