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 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+576020s^4+380s^3+2480s^2+6480s+5760 }$. | 1 |
| 1502 | Add $ \, \color{blue}{ 3x^2+x-4 } \, $ and $ \, \color{orangered}{ 4x^2-8 }$. | 1 |
| 1503 | Add $ \, \color{blue}{ x-6 } \, $ and $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 1504 | Add $ \, \color{blue}{ -n^4+6n^2-2 } \, $ and $ \, \color{orangered}{ 4n^2+7+2n^4 }$. | 1 |
| 1505 | Multiply polynomial $ \, \color{blue}{ 2n+6 } \, $ by $ \, \color{orangered}{ -6n^2-5n+5 }$. | 1 |
| 1506 | Subtract polynomials: $ \, \color{blue}{ 8x+5 } \, $ , $ \, \color{orangered}{ 3x^2+4x-3 }$. | 1 |
| 1507 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1508 | Add $ \, \color{blue}{ 2x^3-5x+3x-9 } \, $ and $ \, \color{orangered}{ x^3+6x^2+11 }$. | 1 |
| 1509 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1510 | Subtract polynomials: $ \, \color{blue}{ 4k^2+9k-12 } \, $ , $ \, \color{orangered}{ 5k^2-k+3 }$. | 1 |
| 1511 | Add $ \, \color{blue}{ 4x^3+15x^2+2x-21 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1512 | Add $ \, \color{blue}{ x^{15}-1 } \, $ and $ \, \color{orangered}{ x^2+x }$. | 1 |
| 1513 | Subtract polynomials: $ \, \color{blue}{ x^{15}-1 } \, $ , $ \, \color{orangered}{ x^2+x }$. | 1 |
| 1514 | Add $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ and $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 1 |
| 1515 | Multiply polynomial $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 1 |
| 1516 | Multiply polynomial $ \, \color{blue}{ x^5-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ 2x^2-4x+4 }$. | 1 |
| 1517 | Multiply polynomial $ \, \color{blue}{ x^3-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ 2x^2-4x+4 }$. | 1 |
| 1518 | Multiply polynomial $ \, \color{blue}{ -3x^2-4x+7 } \, $ by $ \, \color{orangered}{ 2x^2-4x+4 }$. | 1 |
| 1519 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x-14 }$. | 1 |
| 1520 | Multiply polynomial $ \, \color{blue}{ 628 } \, $ by $ \, \color{orangered}{ 45 }$. | 1 |
| 1521 | Multiply polynomial $ \, \color{blue}{ s^2+3 } \, $ by $ \, \color{orangered}{ s^2+4s-2 }$. | 1 |
| 1522 | Multiply polynomial $ \, \color{blue}{ -10x^5+5x^3+6 } \, $ by $ \, \color{orangered}{ 4x^3+2x }$. | 1 |
| 1523 | Add $ \, \color{blue}{ 22 } \, $ and $ \, \color{orangered}{ 246 }$. | 1 |
| 1524 | Add $ \, \color{blue}{ 44 } \, $ and $ \, \color{orangered}{ 55 }$. | 1 |
| 1525 | Subtract polynomials: $ \, \color{blue}{ 55 } \, $ , $ \, \color{orangered}{ 5 }$. | 1 |
| 1526 | Subtract polynomials: $ \, \color{blue}{ 5555 } \, $ , $ \, \color{orangered}{ 5 }$. | 1 |
| 1527 | Subtract polynomials: $ \, \color{blue}{ 55554444 } \, $ , $ \, \color{orangered}{ 55555 }$. | 1 |
| 1528 | Add $ \, \color{blue}{ 3 } \, $ and $ \, \color{orangered}{ 5 }$. | 1 |
| 1529 | Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ 7 }$. | 1 |
| 1530 | Subtract polynomials: $ \, \color{blue}{ 30 } \, $ , $ \, \color{orangered}{ 20 }$. | 1 |
| 1531 | Add $ \, \color{blue}{ -x+6 } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 1532 | Multiply polynomial $ \, \color{blue}{ x^2-4x+5 } \, $ by $ \, \color{orangered}{ x^3-6x^2+12x-8 }$. | 1 |
| 1533 | Multiply polynomial $ \, \color{blue}{ 5616x^3 } \, $ by $ \, \color{orangered}{ 27027x^3 }$. | 1 |
| 1534 | Multiply polynomial $ \, \color{blue}{ x^4-x^3+3x^2-4x+2 } \, $ by $ \, \color{orangered}{ x^4+2x^3-4x^2+2x+3 }$. | 1 |
| 1535 | Multiply polynomial $ \, \color{blue}{ x^2-4x+2 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 1 |
| 1536 | Multiply polynomial $ \, \color{blue}{ x^4+x^3+x^2-4x+2 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 1 |
| 1537 | Add $ \, \color{blue}{ 60 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1538 | Add $ \, \color{blue}{ 2024 } \, $ and $ \, \color{orangered}{ 28 }$. | 1 |
| 1539 | Subtract polynomials: $ \, \color{blue}{ 6x^2-4x+18 } \, $ , $ \, \color{orangered}{ 2x^2-9x+3 }$. | 1 |
| 1540 | Subtract polynomials: $ \, \color{blue}{ 9x^2-3x+7 } \, $ , $ \, \color{orangered}{ 3x^2-4x-2 }$. | 1 |
| 1541 | Multiply polynomial $ \, \color{blue}{ 3x-9 } \, $ by $ \, \color{orangered}{ 3x+9 }$. | 1 |
| 1542 | Add $ \, \color{blue}{ 7x^2+8x-5 } \, $ and $ \, \color{orangered}{ 3x^2-4x+9 }$. | 1 |
| 1543 | Add $ \, \color{blue}{ 2x^6-3x^2+7 } \, $ and $ \, \color{orangered}{ 2x^3+3x-1 }$. | 1 |
| 1544 | Multiply polynomial $ \, \color{blue}{ 4x-4 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1545 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
| 1546 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$. | 1 |
| 1547 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
| 1548 | Multiply polynomial $ \, \color{blue}{ n^2+4+2n } \, $ by $ \, \color{orangered}{ -3n+2 }$. | 1 |
| 1549 | Multiply polynomial $ \, \color{blue}{ s^4+12s^3+41s^2+30s } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$. | 1 |
| 1550 | Multiply polynomial $ \, \color{blue}{ s^3+9s^2+26s+24 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+5760 }$. | 1 |
