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 |
| 1651 | Add $ \, \color{blue}{ 5x^4+3x^2-6x-10 } \, $ and $ \, \color{orangered}{ 2x^3-7x^2-5x-1 }$. | 1 |
| 1652 | Subtract polynomials: $ \, \color{blue}{ 10x^4-4x^3-7x^2+5x+9 } \, $ , $ \, \color{orangered}{ 2x^4-5x^3-4x^2+9x+3 }$. | 1 |
| 1653 | Subtract polynomials: $ \, \color{blue}{ 7x^5+4x^3-2x^2+12x+5 } \, $ , $ \, \color{orangered}{ 6x^4-9x^3+x^2-3 }$. | 1 |
| 1654 | Subtract polynomials: $ \, \color{blue}{ -6x^2+x-6 } \, $ , $ \, \color{orangered}{ 4x^2-6x-4 }$. | 1 |
| 1655 | Add $ \, \color{blue}{ -x^2+2 } \, $ and $ \, \color{orangered}{ 3x^2-7x+8 }$. | 1 |
| 1656 | Multiply polynomial $ \, \color{blue}{ 3x^2-6x+4 } \, $ by $ \, \color{orangered}{ 7x-1 }$. | 1 |
| 1657 | Add $ \, \color{blue}{ x^2+5x+6 } \, $ and $ \, \color{orangered}{ x+2 }$. | 1 |
| 1658 | Add $ \, \color{blue}{ x^2+2x-8 } \, $ and $ \, \color{orangered}{ x+4 }$. | 1 |
| 1659 | Multiply polynomial $ \, \color{blue}{ 5x-1 } \, $ by $ \, \color{orangered}{ x^2+4x+4 }$. | 1 |
| 1660 | Multiply polynomial $ \, \color{blue}{ x^2-3x-4 } \, $ by $ \, \color{orangered}{ 2x^2+5x+2 }$. | 1 |
| 1661 | Subtract polynomials: $ \, \color{blue}{ x^2-2x } \, $ , $ \, \color{orangered}{ 8x-10 }$. | 1 |
| 1662 | Subtract polynomials: $ \, \color{blue}{ -6x^2+6x } \, $ , $ \, \color{orangered}{ 5x^2-9x-10 }$. | 1 |
| 1663 | Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ x^2-x-6 }$. | 1 |
| 1664 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -x^2-4x-6 }$. | 1 |
| 1665 | Multiply polynomial $ \, \color{blue}{ -3x-1 } \, $ by $ \, \color{orangered}{ 2x^2+8x+1 }$. | 1 |
| 1666 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+3 }$. | 1 |
| 1667 | Add $ \, \color{blue}{ 3x^2+4x-2 } \, $ and $ \, \color{orangered}{ x^2-5x+3 }$. | 1 |
| 1668 | Add $ \, \color{blue}{ 4x^3+6x^2+2x } \, $ and $ \, \color{orangered}{ 3x^3+3x^2-5x-5 }$. | 1 |
| 1669 | Add $ \, \color{blue}{ x^2-3x+7 } \, $ and $ \, \color{orangered}{ 3x^2+5x-9 }$. | 1 |
| 1670 | Subtract polynomials: $ \, \color{blue}{ 8x^3-10x^2+28x-16 } \, $ , $ \, \color{orangered}{ x-3 }$. | 1 |
| 1671 | Subtract polynomials: $ \, \color{blue}{ 4x^4-9x^3-7x^2-2x+25 } \, $ , $ \, \color{orangered}{ x+4 }$. | 1 |
| 1672 | Subtract polynomials: $ \, \color{blue}{ -x^5+12x^3+6x^2-23x+1 } \, $ , $ \, \color{orangered}{ x-2 }$. | 1 |
| 1673 | Subtract polynomials: $ \, \color{blue}{ -2x^3+3x^2-8x-12 } \, $ , $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 1674 | Multiply polynomial $ \, \color{blue}{ 4x-2 } \, $ by $ \, \color{orangered}{ 8x-7 }$. | 1 |
| 1675 | Multiply polynomial $ \, \color{blue}{ -2x-6 } \, $ by $ \, \color{orangered}{ -7x^2+6x+9 }$. | 1 |
| 1676 | Add $ \, \color{blue}{ x^3+4x } \, $ and $ \, \color{orangered}{ x+9 }$. | 1 |
| 1677 | Multiply polynomial $ \, \color{blue}{ 2r+1 } \, $ by $ \, \color{orangered}{ -4r^2+3r-6 }$. | 1 |
| 1678 | Multiply polynomial $ \, \color{blue}{ x^2+2x+x } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1679 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x^2-7 }$. | 1 |
| 1680 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 9x+7 }$. | 1 |
| 1681 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 4x^2+x-4 }$. | 1 |
| 1682 | Multiply polynomial $ \, \color{blue}{ a-5 } \, $ by $ \, \color{orangered}{ a+5 }$. | 1 |
| 1683 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x+4 }$. | 1 |
| 1684 | Multiply polynomial $ \, \color{blue}{ -2x } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 1685 | Add $ \, \color{blue}{ -x+6 } \, $ and $ \, \color{orangered}{ 6x^2+2x-8 }$. | 1 |
| 1686 | Subtract polynomials: $ \, \color{blue}{ x+5 } \, $ , $ \, \color{orangered}{ -2x^2+7x-6 }$. | 1 |
| 1687 | Subtract polynomials: $ \, \color{blue}{ -3x+15 } \, $ , $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 1688 | Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ x^2-5 }$. | 1 |
| 1689 | Multiply polynomial $ \, \color{blue}{ 8x-2 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 1 |
| 1690 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 1691 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 1692 | Multiply polynomial $ \, \color{blue}{ x^3+5x^2-x } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1693 | Multiply polynomial $ \, \color{blue}{ -7x^2-2 } \, $ by $ \, \color{orangered}{ x^2-1 }$. | 1 |
| 1694 | Add $ \, \color{blue}{ 8x-3x+8 } \, $ and $ \, \color{orangered}{ 6x-9x+4 }$. | 1 |
| 1695 | Multiply polynomial $ \, \color{blue}{ x^3+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1696 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1697 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-4 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 1698 | Multiply polynomial $ \, \color{blue}{ x^2+x-6 } \, $ by $ \, \color{orangered}{ x^2-6x+9 }$. | 1 |
| 1699 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ x-13x^2+x-4 }$. | 1 |
| 1700 | Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ 6x+3 }$. | 1 |
