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 |
| 1501 | Subtract polynomials: $ \, \color{blue}{ 2x-5 } \, $ , $ \, \color{orangered}{ x }$. | 1 |
| 1502 | Add $ \, \color{blue}{ 2x-5 } \, $ and $ \, \color{orangered}{ x }$. | 1 |
| 1503 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x }$. | 1 |
| 1504 | Multiply polynomial $ \, \color{blue}{ x^2+5x+4 } \, $ by $ \, \color{orangered}{ x^2-6x+9 }$. | 1 |
| 1505 | Multiply polynomial $ \, \color{blue}{ 2x+10 } \, $ by $ \, \color{orangered}{ x^2+4x+4 }$. | 1 |
| 1506 | Multiply polynomial $ \, \color{blue}{ 2x^3+18x^2+48x+40 } \, $ by $ \, \color{orangered}{ -x^2 }$. | 1 |
| 1507 | Multiply polynomial $ \, \color{blue}{ x^2-4x+4 } \, $ by $ \, \color{orangered}{ x^2+4x+4 }$. | 1 |
| 1508 | Multiply polynomial $ \, \color{blue}{ x^4-8x+16 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1509 | Multiply polynomial $ \, \color{blue}{ 8x+4 } \, $ by $ \, \color{orangered}{ 5x+4x }$. | 1 |
| 1510 | Multiply polynomial $ \, \color{blue}{ 1-8x+20x^2-16x^3+4x^4 } \, $ by $ \, \color{orangered}{ 1-6x+12x^2-8x^3 }$. | 1 |
| 1511 | Add $ \, \color{blue}{ 3y^2-4y+1 } \, $ and $ \, \color{orangered}{ -y^2+y-2 }$. | 1 |
| 1512 | Multiply polynomial $ \, \color{blue}{ 3c-5 } \, $ by $ \, \color{orangered}{ c+3 }$. | 1 |
| 1513 | Subtract polynomials: $ \, \color{blue}{ 6x+4 } \, $ , $ \, \color{orangered}{ -3x-5 }$. | 1 |
| 1514 | Subtract polynomials: $ \, \color{blue}{ 10x+5 } \, $ , $ \, \color{orangered}{ 7x-4 }$. | 1 |
| 1515 | Subtract polynomials: $ \, \color{blue}{ 4x+6 } \, $ , $ \, \color{orangered}{ -2x+5 }$. | 1 |
| 1516 | Subtract polynomials: $ \, \color{blue}{ 5x+3 } \, $ , $ \, \color{orangered}{ 2x+1 }$. | 1 |
| 1517 | Subtract polynomials: $ \, \color{blue}{ 7x+4 } \, $ , $ \, \color{orangered}{ 3x+2 }$. | 1 |
| 1518 | Multiply polynomial $ \, \color{blue}{ 10x^3 } \, $ by $ \, \color{orangered}{ x^8 }$. | 1 |
| 1519 | Multiply polynomial $ \, \color{blue}{ 2x^5 } \, $ by $ \, \color{orangered}{ 7x^2 }$. | 1 |
| 1520 | Multiply polynomial $ \, \color{blue}{ 4x^4 } \, $ by $ \, \color{orangered}{ x^2 }$. | 1 |
| 1521 | Multiply polynomial $ \, \color{blue}{ 6x^2 } \, $ by $ \, \color{orangered}{ 3x }$. | 1 |
| 1522 | Add $ \, \color{blue}{ x^2-2x+3 } \, $ and $ \, \color{orangered}{ 3x^2+4x-3 }$. | 1 |
| 1523 | Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ 3+4x }$. | 1 |
| 1524 | Subtract polynomials: $ \, \color{blue}{ -4x+14 } \, $ , $ \, \color{orangered}{ 3x-3 }$. | 1 |
| 1525 | Multiply polynomial $ \, \color{blue}{ -x-4 } \, $ by $ \, \color{orangered}{ x^6-1 }$. | 1 |
| 1526 | Add $ \, \color{blue}{ -6x-2 } \, $ and $ \, \color{orangered}{ 12x-5x-10 }$. | 1 |
| 1527 | Multiply polynomial $ \, \color{blue}{ 4x^2+x+2 } \, $ by $ \, \color{orangered}{ -3x^2+4x-1 }$. | 1 |
| 1528 | Multiply polynomial $ \, \color{blue}{ -6x+3 } \, $ by $ \, \color{orangered}{ -6x+8 }$. | 1 |
| 1529 | Subtract polynomials: $ \, \color{blue}{ -6x+3 } \, $ , $ \, \color{orangered}{ -6x+8 }$. | 1 |
| 1530 | Add $ \, \color{blue}{ 6x^4-9x^3+3x^2 } \, $ and $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 1531 | Multiply polynomial $ \, \color{blue}{ x^2+2x-4 } \, $ by $ \, \color{orangered}{ x^2-3x+1 }$. | 1 |
| 1532 | Add $ \, \color{blue}{ x^2+2x-4 } \, $ and $ \, \color{orangered}{ x^2-3x+1 }$. | 1 |
| 1533 | Multiply polynomial $ \, \color{blue}{ x^5+6x^4-3x^2-22x-29 } \, $ by $ \, \color{orangered}{ x+6 }$. | 1 |
| 1534 | Subtract polynomials: $ \, \color{blue}{ 6x+4 } \, $ , $ \, \color{orangered}{ -3x-5 }$. | 1 |
| 1535 | Multiply polynomial $ \, \color{blue}{ -6x+3 } \, $ by $ \, \color{orangered}{ -6x+8 }$. | 1 |
| 1536 | Add $ \, \color{blue}{ 4x^2-8 } \, $ and $ \, \color{orangered}{ 2x^2-8x }$. | 1 |
| 1537 | Subtract polynomials: $ \, \color{blue}{ 6a^3-2a^2+4 } \, $ , $ \, \color{orangered}{ 5a^3-4a+7 }$. | 1 |
| 1538 | Add $ \, \color{blue}{ 8q+4 } \, $ and $ \, \color{orangered}{ 5q+3 }$. | 1 |
| 1539 | Subtract polynomials: $ \, \color{blue}{ 6v+7 } \, $ , $ \, \color{orangered}{ 5v+3 }$. | 1 |
| 1540 | Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 5x+2x^2-3 }$. | 1 |
| 1541 | Subtract polynomials: $ \, \color{blue}{ 11x^2-6x+10 } \, $ , $ \, \color{orangered}{ 3x^2-9x+9 }$. | 1 |
| 1542 | Subtract polynomials: $ \, \color{blue}{ -7x^2-3x+10 } \, $ , $ \, \color{orangered}{ -x^2+x+4 }$. | 1 |
| 1543 | Subtract polynomials: $ \, \color{blue}{ -2x^2-x+3 } \, $ , $ \, \color{orangered}{ -5x^2-10x+10 }$. | 1 |
| 1544 | Add $ \, \color{blue}{ -7x^2+9 } \, $ and $ \, \color{orangered}{ 9x^2+5x+10 }$. | 1 |
| 1545 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3705s^2+9450s }$. | 1 |
| 1546 | Subtract polynomials: $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+248832000 } \, $ , $ \, \color{orangered}{ s^9+58s^8+1409s^7+18408s^6+142405s^5+669884s^4+1847585s^3+2626050s^2+1323000s }$. | 1 |
| 1547 | Subtract polynomials: $ \, \color{blue}{ 2x^4-8x^3+3x^2+x-3 } \, $ , $ \, \color{orangered}{ -7x^4+6x^3-x^2+7x-6 }$. | 1 |
| 1548 | Add $ \, \color{blue}{ x-2 } \, $ and $ \, \color{orangered}{ x^2+3x+7 }$. | 1 |
| 1549 | Multiply polynomial $ \, \color{blue}{ 6-2x } \, $ by $ \, \color{orangered}{ 6-2x }$. | 1 |
| 1550 | Multiply polynomial $ \, \color{blue}{ 3m+7 } \, $ by $ \, \color{orangered}{ 7m-6 }$. | 1 |
