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 |
| 1751 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+4 }$. | 1 |
| 1752 | Multiply polynomial $ \, \color{blue}{ 3x^9+10 } \, $ by $ \, \color{orangered}{ 4x^2-7 }$. | 1 |
| 1753 | Multiply polynomial $ \, \color{blue}{ 10x^3+3x^2-10x-3 } \, $ by $ \, \color{orangered}{ 4x-9 }$. | 1 |
| 1754 | Add $ \, \color{blue}{ 13n^2+11n-2n^4 } \, $ and $ \, \color{orangered}{ -13n^2-3n-6n^4 }$. | 1 |
| 1755 | Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k+6k^3-8k }$. | 1 |
| 1756 | Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k^2+6k^3-8k }$. | 1 |
| 1757 | Add $ \, \color{blue}{ -7x^5+14-2x } \, $ and $ \, \color{orangered}{ 10x^4+7x+5x^5 }$. | 1 |
| 1758 | Subtract polynomials: $ \, \color{blue}{ 8k+k^2-6 } \, $ , $ \, \color{orangered}{ -10k+7-2k^2 }$. | 1 |
| 1759 | Multiply polynomial $ \, \color{blue}{ 3n+11 } \, $ by $ \, \color{orangered}{ -n-6 }$. | 1 |
| 1760 | Multiply polynomial $ \, \color{blue}{ k-3k } \, $ by $ \, \color{orangered}{ 6-5k }$. | 1 |
| 1761 | Subtract polynomials: $ \, \color{blue}{ -4x^2-2 } \, $ , $ \, \color{orangered}{ -9x-6 }$. | 1 |
| 1762 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 4x^2-3x-5 }$. | 1 |
| 1763 | Multiply polynomial $ \, \color{blue}{ x^2-4 } \, $ by $ \, \color{orangered}{ 5x+7 }$. | 1 |
| 1764 | Add $ \, \color{blue}{ 4556 } \, $ and $ \, \color{orangered}{ 5 }$. | 1 |
| 1765 | Multiply polynomial $ \, \color{blue}{ 4556 } \, $ by $ \, \color{orangered}{ 556 }$. | 1 |
| 1766 | Multiply polynomial $ \, \color{blue}{ 327 } \, $ by $ \, \color{orangered}{ 456 }$. | 1 |
| 1767 | Subtract polynomials: $ \, \color{blue}{ 6x^2-4x+9 } \, $ , $ \, \color{orangered}{ -3x-2 }$. | 1 |
| 1768 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x-8 } \, $ by $ \, \color{orangered}{ x^2+x+2 }$. | 1 |
| 1769 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1770 | Add $ \, \color{blue}{ 5x^2-9x-10 } \, $ and $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1771 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1772 | Add $ \, \color{blue}{ 15f-12f+f+6 } \, $ and $ \, \color{orangered}{ -27f+8f+6f-1 }$. | 1 |
| 1773 | Multiply polynomial $ \, \color{blue}{ x^3+512 } \, $ by $ \, \color{orangered}{ x+8 }$. | 1 |
| 1774 | Subtract polynomials: $ \, \color{blue}{ 2x^2+7 } \, $ , $ \, \color{orangered}{ x^2+2x-1 }$. | 1 |
| 1775 | Add $ \, \color{blue}{ -7x^2-7x+5 } \, $ and $ \, \color{orangered}{ 10x+6 }$. | 1 |
| 1776 | Subtract polynomials: $ \, \color{blue}{ 5r^2+8 } \, $ , $ \, \color{orangered}{ 5r^2+1 }$. | 1 |
| 1777 | Multiply polynomial $ \, \color{blue}{ -3x^2+3 } \, $ by $ \, \color{orangered}{ -2x^2 }$. | 1 |
| 1778 | Add $ \, \color{blue}{ 2x^3+7x-4 } \, $ and $ \, \color{orangered}{ 2x^2-8x+1 }$. | 1 |
| 1779 | Add $ \, \color{blue}{ -7x^2-1 } \, $ and $ \, \color{orangered}{ x^2-x-5 }$. | 1 |
| 1780 | Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 12x-32x+32 }$. | 1 |
| 1781 | Subtract polynomials: $ \, \color{blue}{ -x^2+x-1 } \, $ , $ \, \color{orangered}{ x^2-x+6 }$. | 1 |
| 1782 | Subtract polynomials: $ \, \color{blue}{ 6x^2+7x+7 } \, $ , $ \, \color{orangered}{ -2x^2+4x-7 }$. | 1 |
| 1783 | Add $ \, \color{blue}{ -x^2-3x+5 } \, $ and $ \, \color{orangered}{ -9x^2+1 }$. | 1 |
| 1784 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1785 | Multiply polynomial $ \, \color{blue}{ 8x^2+58x+100 } \, $ by $ \, \color{orangered}{ x-6 }$. | 1 |
| 1786 | Multiply polynomial $ \, \color{blue}{ 15x^5-58x^4-69x^3-79x^2-6x+5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 1787 | Multiply polynomial $ \, \color{blue}{ 2m+1 } \, $ by $ \, \color{orangered}{ -2m^2-m-2 }$. | 1 |
| 1788 | Subtract polynomials: $ \, \color{blue}{ 5x^2-6x-4 } \, $ , $ \, \color{orangered}{ 2x^2-6x+7 }$. | 1 |
| 1789 | Subtract polynomials: $ \, \color{blue}{ 3n+n^3-4n^2 } \, $ , $ \, \color{orangered}{ n^2-3n-2n^3+7 }$. | 1 |
| 1790 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1791 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1792 | Multiply polynomial $ \, \color{blue}{ 5x^2-6x+5 } \, $ by $ \, \color{orangered}{ 2x^2-12x+8 }$. | 1 |
| 1793 | Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ -6x^2+5 }$. | 1 |
| 1794 | Multiply polynomial $ \, \color{blue}{ 3x^2+x-5 } \, $ by $ \, \color{orangered}{ 2x^2+2x }$. | 1 |
| 1795 | Subtract polynomials: $ \, \color{blue}{ 4x-5 } \, $ , $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1796 | Subtract polynomials: $ \, \color{blue}{ 4x-3 } \, $ , $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 1797 | Subtract polynomials: $ \, \color{blue}{ 7x-3 } \, $ , $ \, \color{orangered}{ 4x-8 }$. | 1 |
| 1798 | Multiply polynomial $ \, \color{blue}{ 5x+1 } \, $ by $ \, \color{orangered}{ x^2-6x-3 }$. | 1 |
| 1799 | Multiply polynomial $ \, \color{blue}{ 7r-4 } \, $ by $ \, \color{orangered}{ 6r^2+6r+4 }$. | 1 |
| 1800 | Multiply polynomial $ \, \color{blue}{ 7x^2+2x-7 } \, $ by $ \, \color{orangered}{ 7x+3 }$. | 1 |