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}{ -3x+9 } \, $ and $ \, \color{orangered}{ 7x^2-2x+1 }$. | 1 |
| 1702 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x^2-5x+4 }$. | 1 |
| 1703 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 3x^2-3x-1 }$. | 1 |
| 1704 | Multiply polynomial $ \, \color{blue}{ -4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-x-1 }$. | 1 |
| 1705 | Multiply polynomial $ \, \color{blue}{ 3x+1 } \, $ by $ \, \color{orangered}{ 3x^2-10x-3 }$. | 1 |
| 1706 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ x^2-6x+1 }$. | 1 |
| 1707 | Multiply polynomial $ \, \color{blue}{ 4x^2+x+2 } \, $ by $ \, \color{orangered}{ -3x^2+4x-1 }$. | 1 |
| 1708 | Add $ \, \color{blue}{ 30 } \, $ and $ \, \color{orangered}{ 100x^2 }$. | 1 |
| 1709 | Add $ \, \color{blue}{ 8a+1 } \, $ and $ \, \color{orangered}{ 4-7a^3-5a }$. | 1 |
| 1710 | Subtract polynomials: $ \, \color{blue}{ 4y+5y^2-6 } \, $ , $ \, \color{orangered}{ 5y+27-y^2 }$. | 1 |
| 1711 | Add $ \, \color{blue}{ 4x^3+6x-7 } \, $ and $ \, \color{orangered}{ 3x^3-5x^2-5x }$. | 1 |
| 1712 | Multiply polynomial $ \, \color{blue}{ x+10 } \, $ by $ \, \color{orangered}{ 3x^2-3x+2 }$. | 1 |
| 1713 | Multiply polynomial $ \, \color{blue}{ 6x^3 } \, $ by $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 1714 | Subtract polynomials: $ \, \color{blue}{ 6x^3 } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 1715 | Subtract polynomials: $ \, \color{blue}{ 5x+8 } \, $ , $ \, \color{orangered}{ 2x^2+6x-3 }$. | 1 |
| 1716 | Add $ \, \color{blue}{ 5x^3-9x^2-42x-9 } \, $ and $ \, \color{orangered}{ x-4 }$. | 1 |
| 1717 | Multiply polynomial $ \, \color{blue}{ 3x-8x+x+6 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 1718 | Multiply polynomial $ \, \color{blue}{ x^3-4x^2+x+6 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 1719 | Subtract polynomials: $ \, \color{blue}{ 3y+4 } \, $ , $ \, \color{orangered}{ 3y-4 }$. | 1 |
| 1720 | Subtract polynomials: $ \, \color{blue}{ x^3-2x+3 } \, $ , $ \, \color{orangered}{ 3x^2+4x-3 }$. | 1 |
| 1721 | Subtract polynomials: $ \, \color{blue}{ 3x^2+4x-3 } \, $ , $ \, \color{orangered}{ x^2-2x+3 }$. | 1 |
| 1722 | Multiply polynomial $ \, \color{blue}{ 9-64x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1723 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x } \, $ by $ \, \color{orangered}{ 3x^2+9x+3 }$. | 1 |
| 1724 | Add $ \, \color{blue}{ 4x^3+2x+2x^2-8 } \, $ and $ \, \color{orangered}{ 2x^3+x^2+9 }$. | 1 |
| 1725 | Multiply polynomial $ \, \color{blue}{ 6x^2-5 } \, $ by $ \, \color{orangered}{ 6x^2-5 }$. | 1 |
| 1726 | Multiply polynomial $ \, \color{blue}{ 6x+5 } \, $ by $ \, \color{orangered}{ 6x+5 }$. | 1 |
| 1727 | Multiply polynomial $ \, \color{blue}{ 2x^2+5x } \, $ by $ \, \color{orangered}{ 2x^2-5x }$. | 1 |
| 1728 | Multiply polynomial $ \, \color{blue}{ x+12 } \, $ by $ \, \color{orangered}{ x+12 }$. | 1 |
| 1729 | Multiply polynomial $ \, \color{blue}{ 7x+5 } \, $ by $ \, \color{orangered}{ 7x-5 }$. | 1 |
| 1730 | Multiply polynomial $ \, \color{blue}{ 5x^2-6 } \, $ by $ \, \color{orangered}{ 3x^2-7 }$. | 1 |
| 1731 | Multiply polynomial $ \, \color{blue}{ 9x-2 } \, $ by $ \, \color{orangered}{ 3x+2 }$. | 1 |
| 1732 | Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2+10 }$. | 1 |
| 1733 | Multiply polynomial $ \, \color{blue}{ -x^2+9 } \, $ by $ \, \color{orangered}{ -3x^2-11x+4 }$. | 1 |
| 1734 | Subtract polynomials: $ \, \color{blue}{ 3x^3-2x^2+4x-8 } \, $ , $ \, \color{orangered}{ 5x^3+12x^2-3x-4 }$. | 1 |
| 1735 | Add $ \, \color{blue}{ 4x^3-x^2-8x+3 } \, $ and $ \, \color{orangered}{ x^3+9x^2-4x }$. | 1 |
| 1736 | Add $ \, \color{blue}{ 5x^3-13x^2-7 } \, $ and $ \, \color{orangered}{ 16x^3+8x^2-x+15 }$. | 1 |
| 1737 | Multiply polynomial $ \, \color{blue}{ -5x } \, $ by $ \, \color{orangered}{ -6x^2+1 }$. | 1 |
| 1738 | Add $ \, \color{blue}{ -3a^3+2a^2-4 } \, $ and $ \, \color{orangered}{ a^3-3a^2-5a+7 }$. | 1 |
| 1739 | Subtract polynomials: $ \, \color{blue}{ -4x^6+3x^3+20 } \, $ , $ \, \color{orangered}{ 17x^6+12x^5-6x^4 }$. | 1 |
| 1740 | Subtract polynomials: $ \, \color{blue}{ 2x^2-6x-5-9x^2+5x-4 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1741 | Multiply polynomial $ \, \color{blue}{ 2x^2-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1742 | Add $ \, \color{blue}{ 4x+3 } \, $ and $ \, \color{orangered}{ x-2 }$. | 1 |
| 1743 | Add $ \, \color{blue}{ x-3 } \, $ and $ \, \color{orangered}{ x^2-9 }$. | 1 |
| 1744 | Add $ \, \color{blue}{ x^2+2x } \, $ and $ \, \color{orangered}{ -2x }$. | 1 |
| 1745 | Add $ \, \color{blue}{ x^2+5x+4 } \, $ and $ \, \color{orangered}{ x+1 }$. | 1 |
| 1746 | Add $ \, \color{blue}{ x^2-x-6 } \, $ and $ \, \color{orangered}{ x^2-4x+3 }$. | 1 |
| 1747 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x^2-9 }$. | 1 |
| 1748 | Multiply polynomial $ \, \color{blue}{ x^2+2x } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 1749 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x-3 } \, $ by $ \, \color{orangered}{ 4x^2-5 }$. | 1 |
| 1750 | Multiply polynomial $ \, \color{blue}{ 2x^2+2x-3 } \, $ by $ \, \color{orangered}{ 5x^2+5x-6 }$. | 1 |
