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 |
| 1701 | Add $ \, \color{blue}{ 5x+2 } \, $ and $ \, \color{orangered}{ 3x-7 }$. | 1 |
| 1702 | Subtract polynomials: $ \, \color{blue}{ x^4+2x^3-x+1 } \, $ , $ \, \color{orangered}{ 3x^4-x^3+2x-4 }$. | 1 |
| 1703 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x^2+3x+4 }$. | 1 |
| 1704 | Multiply polynomial $ \, \color{blue}{ x^2+1 } \, $ by $ \, \color{orangered}{ x^3-x+2 }$. | 1 |
| 1705 | Multiply polynomial $ \, \color{blue}{ 4x^3+3x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1706 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 1 |
| 1707 | Subtract polynomials: $ \, \color{blue}{ 3x^3-10x^2 } \, $ , $ \, \color{orangered}{ 4x^3-5x-6 }$. | 1 |
| 1708 | Add $ \, \color{blue}{ t^2-4t+t^4 } \, $ and $ \, \color{orangered}{ 3t^4+2t+6 }$. | 1 |
| 1709 | Add $ \, \color{blue}{ 3x^2-6x+1 } \, $ and $ \, \color{orangered}{ 9x^2-5x-4 }$. | 1 |
| 1710 | Subtract polynomials: $ \, \color{blue}{ 9x^2+3x-5 } \, $ , $ \, \color{orangered}{ 11x^2-5x+7 }$. | 1 |
| 1711 | Multiply polynomial $ \, \color{blue}{ 7x-6 } \, $ by $ \, \color{orangered}{ 9x+1 }$. | 1 |
| 1712 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 6x-8 }$. | 1 |
| 1713 | Multiply polynomial $ \, \color{blue}{ 4x^2-8 } \, $ by $ \, \color{orangered}{ -10x^2+2 }$. | 1 |
| 1714 | Multiply polynomial $ \, \color{blue}{ 4x^2-8 } \, $ by $ \, \color{orangered}{ -10x^2+2 }$. | 1 |
| 1715 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1716 | Multiply polynomial $ \, \color{blue}{ 2x^2 } \, $ by $ \, \color{orangered}{ 3x^3+6x }$. | 1 |
| 1717 | Add $ \, \color{blue}{ 3x^2+5x-7 } \, $ and $ \, \color{orangered}{ 4x^2-2x+9 }$. | 1 |
| 1718 | Add $ \, \color{blue}{ 3t^2-5+6 } \, $ and $ \, \color{orangered}{ -8t^2+7t-9 }$. | 1 |
| 1719 | Subtract polynomials: $ \, \color{blue}{ 8x^2-6x+2 } \, $ , $ \, \color{orangered}{ 3x^2+7x-4 }$. | 1 |
| 1720 | Subtract polynomials: $ \, \color{blue}{ 7w^2+4w-6 } \, $ , $ \, \color{orangered}{ w^2-11w+13 }$. | 1 |
| 1721 | Subtract polynomials: $ \, \color{blue}{ -2a^2+a+6 } \, $ , $ \, \color{orangered}{ -3a^2+2a-5 }$. | 1 |
| 1722 | Multiply polynomial $ \, \color{blue}{ m+8 } \, $ by $ \, \color{orangered}{ 2m^3+m^2+3m }$. | 1 |
| 1723 | Multiply polynomial $ \, \color{blue}{ x^2+4 } \, $ by $ \, \color{orangered}{ x^2-6 }$. | 1 |
| 1724 | Multiply polynomial $ \, \color{blue}{ 3c+2 } \, $ by $ \, \color{orangered}{ c^2-6c-4 }$. | 1 |
| 1725 | Subtract polynomials: $ \, \color{blue}{ 7x^2-30x } \, $ , $ \, \color{orangered}{ -4x^{27}-4 }$. | 1 |
| 1726 | Multiply polynomial $ \, \color{blue}{ x^2-3x-3 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 1 |
| 1727 | Add $ \, \color{blue}{ -5+4x } \, $ and $ \, \color{orangered}{ 3x+3 }$. | 1 |
| 1728 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1729 | Multiply polynomial $ \, \color{blue}{ -6x^4 } \, $ by $ \, \color{orangered}{ 9x-14x^3 }$. | 1 |
| 1730 | Multiply polynomial $ \, \color{blue}{ n+15 } \, $ by $ \, \color{orangered}{ 2n^2 }$. | 1 |
| 1731 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1732 | Multiply polynomial $ \, \color{blue}{ 2p^2-11p } \, $ by $ \, \color{orangered}{ 3p-4 }$. | 1 |
| 1733 | Multiply polynomial $ \, \color{blue}{ 3w^3-5w^2+4 } \, $ by $ \, \color{orangered}{ 2w^4-5 }$. | 1 |
| 1734 | Subtract polynomials: $ \, \color{blue}{ -7x^2-9x-2 } \, $ , $ \, \color{orangered}{ 2x^2-5x-2 }$. | 1 |
| 1735 | Subtract polynomials: $ \, \color{blue}{ -7x^2-9x-2 } \, $ , $ \, \color{orangered}{ 2x^2-5x-2 }$. | 1 |
| 1736 | Add $ \, \color{blue}{ -7x^2-9x-2 } \, $ and $ \, \color{orangered}{ 9x^2+4x }$. | 1 |
| 1737 | Add $ \, \color{blue}{ -7x^2-10 } \, $ and $ \, \color{orangered}{ -2x^2+9x+1 }$. | 1 |
| 1738 | Add $ \, \color{blue}{ -3x+5 } \, $ and $ \, \color{orangered}{ 6x^2-4x-6 }$. | 1 |
| 1739 | Add $ \, \color{blue}{ -11x^3+8x^2+6x+9 } \, $ and $ \, \color{orangered}{ 4x^3-4x^2-6 }$. | 1 |
| 1740 | Subtract polynomials: $ \, \color{blue}{ -11x^3 } \, $ , $ \, \color{orangered}{ -7x^2 }$. | 1 |
| 1741 | Add $ \, \color{blue}{ -7x^3+4x^2+6x+3 } \, $ and $ \, \color{orangered}{ -11x^3+8x^2+6x+9 }$. | 1 |
| 1742 | Add $ \, \color{blue}{ -5x^3+10x^2-3x+9 } \, $ and $ \, \color{orangered}{ -4x^3+6x^2+4x+1 }$. | 1 |
| 1743 | Add $ \, \color{blue}{ -3x^2+8x } \, $ and $ \, \color{orangered}{ -4x^3+6x^2+4x+1 }$. | 1 |
| 1744 | Add $ \, \color{blue}{ -3x^2+8x+2 } \, $ and $ \, \color{orangered}{ -x^2-4x-6 }$. | 1 |
| 1745 | Add $ \, \color{blue}{ -10x^2+6x+3 } \, $ and $ \, \color{orangered}{ -9x^2+2x-1 }$. | 1 |
| 1746 | Add $ \, \color{blue}{ -9x^2-7x-6 } \, $ and $ \, \color{orangered}{ 4x^2+2x+7 }$. | 1 |
| 1747 | Add $ \, \color{blue}{ x^2+2x+8 } \, $ and $ \, \color{orangered}{ -x^2-3x-7 }$. | 1 |
| 1748 | Subtract polynomials: $ \, \color{blue}{ -x^2-3x+3 } \, $ , $ \, \color{orangered}{ -x^2-9x+6 }$. | 1 |
| 1749 | Subtract polynomials: $ \, \color{blue}{ 4x^2-10x } \, $ , $ \, \color{orangered}{ 2x^2+5x-5 }$. | 1 |
| 1750 | Add $ \, \color{blue}{ 4x^2-10x } \, $ and $ \, \color{orangered}{ 2x^2+5x-5 }$. | 1 |
