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 |
| 1451 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-6 } \, $ by $ \, \color{orangered}{ -5x^2-2x+4 }$. | 1 |
| 1452 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 1453 | Add $ \, \color{blue}{ 6x^2+3x-3 } \, $ and $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 1454 | Multiply polynomial $ \, \color{blue}{ x^4+5x^3 } \, $ by $ \, \color{orangered}{ 5x^4-4x^3-5x^2 }$. | 1 |
| 1455 | Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2x^2+9x }$. | 1 |
| 1456 | Multiply polynomial $ \, \color{blue}{ 20+10 } \, $ by $ \, \color{orangered}{ 3+7 }$. | 1 |
| 1457 | Add $ \, \color{blue}{ 14x+3x+7 } \, $ and $ \, \color{orangered}{ 12x+7x }$. | 1 |
| 1458 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 7x }$. | 1 |
| 1459 | Subtract polynomials: $ \, \color{blue}{ x } \, $ , $ \, \color{orangered}{ 7x }$. | 1 |
| 1460 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 7x }$. | 1 |
| 1461 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 1 |
| 1462 | Add $ \, \color{blue}{ -x^4+x^2 } \, $ and $ \, \color{orangered}{ x^5+x^4-x^2 }$. | 1 |
| 1463 | Add $ \, \color{blue}{ -x^3-x^2 } \, $ and $ \, \color{orangered}{ 9x^3+9x+1 }$. | 1 |
| 1464 | Add $ \, \color{blue}{ -x^5+x^4-x^3+x^2 } \, $ and $ \, \color{orangered}{ x^4+3x^3+2x^2-x-2 }$. | 1 |
| 1465 | Add $ \, \color{blue}{ -x^5+2x^4+2x^3+3x^2-x-2 } \, $ and $ \, \color{orangered}{ 8x^3-x^2+9x+1 }$. | 1 |
| 1466 | Add $ \, \color{blue}{ 8x^2+3 } \, $ and $ \, \color{orangered}{ -4x^2-8x+4 }$. | 1 |
| 1467 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 1 |
| 1468 | Add $ \, \color{blue}{ -6x-2 } \, $ and $ \, \color{orangered}{ 6x^2-5x-10 }$. | 1 |
| 1469 | Add $ \, \color{blue}{ 6x+7 } \, $ and $ \, \color{orangered}{ 8x^2+5x-1 }$. | 1 |
| 1470 | Subtract polynomials: $ \, \color{blue}{ x^2-3x+2 } \, $ , $ \, \color{orangered}{ x^3-3x^2+4x-2 }$. | 1 |
| 1471 | Add $ \, \color{blue}{ -3x^3+5x^2+7 } \, $ and $ \, \color{orangered}{ x^2+5x+9 }$. | 1 |
| 1472 | Subtract polynomials: $ \, \color{blue}{ 7x^9+9x^5+15 } \, $ , $ \, \color{orangered}{ 10x^9+8x^5+12 }$. | 1 |
| 1473 | Subtract polynomials: $ \, \color{blue}{ x^4+8x^3+9x^2 } \, $ , $ \, \color{orangered}{ 5x^4+4x^3+2x^2 }$. | 1 |
| 1474 | Add $ \, \color{blue}{ 2x^7+24x+3x^2+2x } \, $ and $ \, \color{orangered}{ 3x^7+5x^6+2x^2+6x }$. | 1 |
| 1475 | Add $ \, \color{blue}{ 2x^7+4x^6+3x^2+2x } \, $ and $ \, \color{orangered}{ 3x^7+5x^6+2x^2+6x }$. | 1 |
| 1476 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x^3-2x-2 }$. | 1 |
| 1477 | Subtract polynomials: $ \, \color{blue}{ 2x^3+7x+10 } \, $ , $ \, \color{orangered}{ 5x^3+12x^2+10x+8 }$. | 1 |
| 1478 | Subtract polynomials: $ \, \color{blue}{ 4x^2-2x+7 } \, $ , $ \, \color{orangered}{ x^2+3x-4 }$. | 1 |
| 1479 | Add $ \, \color{blue}{ x^2-5x+3 } \, $ and $ \, \color{orangered}{ 2x^2-3x-7 }$. | 1 |
| 1480 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 5+3x-4x }$. | 1 |
| 1481 | Add $ \, \color{blue}{ x^2-3x+2 } \, $ and $ \, \color{orangered}{ x-4 }$. | 1 |
| 1482 | Subtract polynomials: $ \, \color{blue}{ x^2-8x-6 } \, $ , $ \, \color{orangered}{ x^2-2x }$. | 1 |
| 1483 | Subtract polynomials: $ \, \color{blue}{ 8x^2+8x } \, $ , $ \, \color{orangered}{ -9x^2+8x }$. | 1 |
| 1484 | Subtract polynomials: $ \, \color{blue}{ -9x^2-2x } \, $ , $ \, \color{orangered}{ -9x^2-3x }$. | 1 |
| 1485 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 1 |
| 1486 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ 2x^2-x-3 }$. | 1 |
| 1487 | Subtract polynomials: $ \, \color{blue}{ 3x^2-6 } \, $ , $ \, \color{orangered}{ 2x^2+1 }$. | 1 |
| 1488 | Add $ \, \color{blue}{ 5x+8 } \, $ and $ \, \color{orangered}{ x-1 }$. | 1 |
| 1489 | Add $ \, \color{blue}{ 1 } \, $ and $ \, \color{orangered}{ 24 }$. | 1 |
| 1490 | Multiply polynomial $ \, \color{blue}{ -7m+7 } \, $ by $ \, \color{orangered}{ -3m-1 }$. | 1 |
| 1491 | Multiply polynomial $ \, \color{blue}{ -6b+7 } \, $ by $ \, \color{orangered}{ 2b^2+7b+3 }$. | 1 |
| 1492 | Subtract polynomials: $ \, \color{blue}{ 5x^3-6x^4-6 } \, $ , $ \, \color{orangered}{ 5x^3-4x+1 }$. | 1 |
| 1493 | Add $ \, \color{blue}{ 2x^2-3+x^3 } \, $ and $ \, \color{orangered}{ 5x^3-2x-7x^2 }$. | 1 |
| 1494 | Multiply polynomial $ \, \color{blue}{ x^3+13x^2+60x+100 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 1495 | Add $ \, \color{blue}{ 3-x^2-2x^3 } \, $ and $ \, \color{orangered}{ 6+3x^3+7x^2 }$. | 1 |
| 1496 | Subtract polynomials: $ \, \color{blue}{ x^4+2x^3+8x^2 } \, $ , $ \, \color{orangered}{ 6x+x^4-5x^3 }$. | 1 |
| 1497 | Multiply polynomial $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ by $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$. | 1 |
| 1498 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$. | 1 |
| 1499 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$. | 1 |
| 1500 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$. | 1 |
