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 |
| 1601 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3+8 }$. | 1 |
| 1602 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x+5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 1603 | Subtract polynomials: $ \, \color{blue}{ 2x^2 } \, $ , $ \, \color{orangered}{ -2x }$. | 1 |
| 1604 | Multiply polynomial $ \, \color{blue}{ 2x^2 } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 1605 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x+x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1606 | Multiply polynomial $ \, \color{blue}{ 4x^2-x+6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1607 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 5x^2+x^3 }$. | 1 |
| 1608 | Add $ \, \color{blue}{ 4x^3-x^2 } \, $ and $ \, \color{orangered}{ 5x^2+x^3 }$. | 1 |
| 1609 | Multiply polynomial $ \, \color{blue}{ 8x^2-3x+1 } \, $ by $ \, \color{orangered}{ -3x+2 }$. | 1 |
| 1610 | Multiply polynomial $ \, \color{blue}{ -x-6 } \, $ by $ \, \color{orangered}{ 3x^2+2x+9 }$. | 1 |
| 1611 | Multiply polynomial $ \, \color{blue}{ -2x-4x+1 } \, $ by $ \, \color{orangered}{ 4x+9 }$. | 1 |
| 1612 | Add $ \, \color{blue}{ 7j^3-2 } \, $ and $ \, \color{orangered}{ 5j^3-j-3 }$. | 1 |
| 1613 | Add $ \, \color{blue}{ 8a^5-4 } \, $ and $ \, \color{orangered}{ 3a^5+a-2 }$. | 1 |
| 1614 | Add $ \, \color{blue}{ -4x+4x^3+7+ \cancel{3x}-9 -\cancel{3x} } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
| 1615 | Add $ \, \color{blue}{ -x^2+4+1 } \, $ and $ \, \color{orangered}{ 3x^3-9-3x }$. | 1 |
| 1616 | Add $ \, \color{blue}{ -x^2+4+1 } \, $ and $ \, \color{orangered}{ 3x^2-9-3x }$. | 1 |
| 1617 | Add $ \, \color{blue}{ -x^2+x-4 } \, $ and $ \, \color{orangered}{ 3x^2-8x-2 }$. | 1 |
| 1618 | Add $ \, \color{blue}{ -x^2-5x-3 } \, $ and $ \, \color{orangered}{ -7x^2-8x-8 }$. | 1 |
| 1619 | Multiply polynomial $ \, \color{blue}{ 33x-10 } \, $ by $ \, \color{orangered}{ x^2+6 }$. | 1 |
| 1620 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x+4 }$. | 1 |
| 1621 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$. | 1 |
| 1622 | Multiply polynomial $ \, \color{blue}{ 6x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+7x-7 }$. | 1 |
| 1623 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 4x+1 }$. | 1 |
| 1624 | Multiply polynomial $ \, \color{blue}{ 2u-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
| 1625 | Multiply polynomial $ \, \color{blue}{ 2u^2-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
| 1626 | Multiply polynomial $ \, \color{blue}{ 5x-2 } \, $ by $ \, \color{orangered}{ 8x+3 }$. | 1 |
| 1627 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1628 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 1629 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x+1 } \, $ by $ \, \color{orangered}{ 3x^2+2x+1 }$. | 1 |
| 1630 | Add $ \, \color{blue}{ 8x^5-4 } \, $ and $ \, \color{orangered}{ 3x^5+x-2 }$. | 1 |
| 1631 | Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
| 1632 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ 3x^2-9-3x }$. | 1 |
| 1633 | Subtract polynomials: $ \, \color{blue}{ -x^2-5x-3 } \, $ , $ \, \color{orangered}{ -7x^2-8x-8 }$. | 1 |
| 1634 | Subtract polynomials: $ \, \color{blue}{ 5x^3+5x^2+5 } \, $ , $ \, \color{orangered}{ 6x^3-5x^2+18x-5 }$. | 1 |
| 1635 | Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^3-9x^2+8x-5 }$. | 1 |
| 1636 | Multiply polynomial $ \, \color{blue}{ 6x^2-30x } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 1637 | Multiply polynomial $ \, \color{blue}{ 6x+8 } \, $ by $ \, \color{orangered}{ 3x-7 }$. | 1 |
| 1638 | Multiply polynomial $ \, \color{blue}{ 9x^3-5x^2+7+4 } \, $ by $ \, \color{orangered}{ 9x^2-4x+5 }$. | 1 |
| 1639 | Subtract polynomials: $ \, \color{blue}{ 7-39x-11x } \, $ , $ \, \color{orangered}{ 6x+8-20x }$. | 1 |
| 1640 | Add $ \, \color{blue}{ x^2-x } \, $ and $ \, \color{orangered}{ x^2+x }$. | 1 |
| 1641 | Add $ \, \color{blue}{ 4x^2-5x+1 } \, $ and $ \, \color{orangered}{ 5x^2+x-1 }$. | 1 |
| 1642 | Subtract polynomials: $ \, \color{blue}{ 4x^2-5x+1 } \, $ , $ \, \color{orangered}{ 5x^2+x-1 }$. | 1 |
| 1643 | Subtract polynomials: $ \, \color{blue}{ x^3-4x^2+x+6 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1644 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 2x-4x^4 }$. | 1 |
| 1645 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 1646 | Add $ \, \color{blue}{ 5x^3-5x-1 } \, $ and $ \, \color{orangered}{ 5x+6 }$. | 1 |
| 1647 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 5x^2+x }$. | 1 |
| 1648 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x-9 }$. | 1 |
| 1649 | Add $ \, \color{blue}{ -6x^2+3x-7 } \, $ and $ \, \color{orangered}{ 10x^2+4x-2 }$. | 1 |
| 1650 | Add $ \, \color{blue}{ 10x^4+3x^2-5x+4 } \, $ and $ \, \color{orangered}{ 7x^5-5x^4+2x-9 }$. | 1 |
