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 | Subtract polynomials: $ \, \color{blue}{ 3x^2+1 } \, $ , $ \, \color{orangered}{ 4+2x^2 }$. | 1 |
| 1602 | Subtract polynomials: $ \, \color{blue}{ 5x+4 } \, $ , $ \, \color{orangered}{ 5x+3 }$. | 1 |
| 1603 | Subtract polynomials: $ \, \color{blue}{ 8x^2+10 } \, $ , $ \, \color{orangered}{ 6x-2 }$. | 1 |
| 1604 | Add $ \, \color{blue}{ x^2+3x } \, $ and $ \, \color{orangered}{ x^2-4x+9 }$. | 1 |
| 1605 | Subtract polynomials: $ \, \color{blue}{ x^2-6x+5 } \, $ , $ \, \color{orangered}{ x^2+x-2 }$. | 1 |
| 1606 | Subtract polynomials: $ \, \color{blue}{ 7x^3-1 } \, $ , $ \, \color{orangered}{ 15x^3+4x^2-x+3 }$. | 1 |
| 1607 | Add $ \, \color{blue}{ 10x-3+7x^2 } \, $ and $ \, \color{orangered}{ x^3-2x+17 }$. | 1 |
| 1608 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ x^2+6x-7 }$. | 1 |
| 1609 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+2x^2+2 }$. | 1 |
| 1610 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ 5x^3-x^2+x-4 }$. | 1 |
| 1611 | Multiply polynomial $ \, \color{blue}{ x^2-x-3 } \, $ by $ \, \color{orangered}{ x^2+4x+2 }$. | 1 |
| 1612 | Add $ \, \color{blue}{ x+6x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1613 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ 2x^2-3x-7 }$. | 1 |
| 1614 | Subtract polynomials: $ \, \color{blue}{ 7x^2+8x+6 } \, $ , $ \, \color{orangered}{ 2x^2+5x+2 }$. | 1 |
| 1615 | Add $ \, \color{blue}{ 6x^3+5x^2+4 } \, $ and $ \, \color{orangered}{ 4x^2 }$. | 1 |
| 1616 | Multiply polynomial $ \, \color{blue}{ 5x^2 } \, $ by $ \, \color{orangered}{ -6x }$. | 1 |
| 1617 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -x^2-1 }$. | 1 |
| 1618 | Multiply polynomial $ \, \color{blue}{ -5x^3+5x^2+7x } \, $ by $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 1619 | Subtract polynomials: $ \, \color{blue}{ -5x^3+5x^2+7x } \, $ , $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 1620 | Add $ \, \color{blue}{ 8x^2+9x+2 } \, $ and $ \, \color{orangered}{ x^2-3x+8 }$. | 1 |
| 1621 | Add $ \, \color{blue}{ x^2-x^4 } \, $ and $ \, \color{orangered}{ x^4-x^2 }$. | 1 |
| 1622 | Multiply polynomial $ \, \color{blue}{ 9x^2 } \, $ by $ \, \color{orangered}{ 12x+4 }$. | 1 |
| 1623 | Subtract polynomials: $ \, \color{blue}{ x^2+5x+6 } \, $ , $ \, \color{orangered}{ x+2 }$. | 1 |
| 1624 | Add $ \, \color{blue}{ x^2+5x+10 } \, $ and $ \, \color{orangered}{ x+1 }$. | 1 |
| 1625 | Subtract polynomials: $ \, \color{blue}{ 20x^5+16x^3-4x^2 } \, $ , $ \, \color{orangered}{ 9x^5+3x^2+4 }$. | 1 |
| 1626 | Multiply polynomial $ \, \color{blue}{ x^2-7x-30 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1627 | Subtract polynomials: $ \, \color{blue}{ -8x^2-8 } \, $ , $ \, \color{orangered}{ x-4 }$. | 1 |
| 1628 | Subtract polynomials: $ \, \color{blue}{ 7x^2-6x+2 } \, $ , $ \, \color{orangered}{ -6x^2+7x-8 }$. | 1 |
| 1629 | Multiply polynomial $ \, \color{blue}{ -5x-2 } \, $ by $ \, \color{orangered}{ 4x+8 }$. | 1 |
| 1630 | Multiply polynomial $ \, \color{blue}{ 3x^2+4 } \, $ by $ \, \color{orangered}{ x^5-3 }$. | 1 |
| 1631 | Multiply polynomial $ \, \color{blue}{ 4x^2+8x-41 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1632 | Multiply polynomial $ \, \color{blue}{ 4x^3-8x^2-73x+164 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 1 |
| 1633 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1634 | Subtract polynomials: $ \, \color{blue}{ -x^2-3x+3 } \, $ , $ \, \color{orangered}{ -x^2-9x+6 }$. | 1 |
| 1635 | Add $ \, \color{blue}{ -6x^2+3x } \, $ and $ \, \color{orangered}{ -x+6 }$. | 1 |
| 1636 | Subtract polynomials: $ \, \color{blue}{ 6+8n^2-3n } \, $ , $ \, \color{orangered}{ -1+7n^3-3n^2 }$. | 1 |
| 1637 | Subtract polynomials: $ \, \color{blue}{ 8a-4a^2-4 } \, $ , $ \, \color{orangered}{ -6-7a^2-a }$. | 1 |
| 1638 | Add $ \, \color{blue}{ 2b^3+6b^2+3+6b } \, $ and $ \, \color{orangered}{ 4b-5b^2-6b^3-1 }$. | 1 |
| 1639 | Add $ \, \color{blue}{ 6p+8+7p^4-5p^3 } \, $ and $ \, \color{orangered}{ 7p^4-2p^2+3p^3-6p }$. | 1 |
| 1640 | Multiply polynomial $ \, \color{blue}{ 5b-2 } \, $ by $ \, \color{orangered}{ 4b+7 }$. | 1 |
| 1641 | Multiply polynomial $ \, \color{blue}{ 7x+4 } \, $ by $ \, \color{orangered}{ 3x+1 }$. | 1 |
| 1642 | Add $ \, \color{blue}{ x^2+8x+2 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 1643 | Multiply polynomial $ \, \color{blue}{ x^2+8x+2 } \, $ by $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 1644 | Multiply polynomial $ \, \color{blue}{ b^2-8b+1 } \, $ by $ \, \color{orangered}{ b-7 }$. | 1 |
| 1645 | Add $ \, \color{blue}{ 7b^2+6b-7 } \, $ and $ \, \color{orangered}{ 4b^2-2 }$. | 1 |
| 1646 | Add $ \, \color{blue}{ 2x-5 } \, $ and $ \, \color{orangered}{ x-5 }$. | 1 |
| 1647 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 1648 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1649 | Subtract polynomials: $ \, \color{blue}{ -2x-3x+3 } \, $ , $ \, \color{orangered}{ -2x-9x+6 }$. | 1 |
| 1650 | Add $ \, \color{blue}{ 7x^6+10x^2-10 } \, $ and $ \, \color{orangered}{ 3x^6-6x^3+4 }$. | 1 |
