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 | Add $ \, \color{blue}{ 3x+5 } \, $ and $ \, \color{orangered}{ 7x+1 }$. | 1 |
| 1452 | Add $ \, \color{blue}{ 9x^2+8x } \, $ and $ \, \color{orangered}{ 8x^2+5x }$. | 1 |
| 1453 | Subtract polynomials: $ \, \color{blue}{ 4x^2-5-x^3 } \, $ , $ \, \color{orangered}{ 3-6x^3-3x^2 }$. | 1 |
| 1454 | Multiply polynomial $ \, \color{blue}{ 3x+2x } \, $ by $ \, \color{orangered}{ 8x+8x }$. | 1 |
| 1455 | Multiply polynomial $ \, \color{blue}{ 2x+x } \, $ by $ \, \color{orangered}{ 2x-x }$. | 1 |
| 1456 | Multiply polynomial $ \, \color{blue}{ x^2+12x+32 } \, $ by $ \, \color{orangered}{ x^2+8x+15 }$. | 1 |
| 1457 | Multiply polynomial $ \, \color{blue}{ x^4+20x^3+143x^2+436x+480 } \, $ by $ \, \color{orangered}{ x^2+8x-20 }$. | 1 |
| 1458 | Multiply polynomial $ \, \color{blue}{ x^3+22x^2+105x } \, $ by $ \, \color{orangered}{ x^2+19x+90 }$. | 1 |
| 1459 | Add $ \, \color{blue}{ x^5+2x^4-4x^3-4x^2-5x-6 } \, $ and $ \, \color{orangered}{ x^50x^4-15x^3+30x^2-76x+120 }$. | 1 |
| 1460 | Multiply polynomial $ \, \color{blue}{ -4x^3-5x^2+14x-6 } \, $ by $ \, \color{orangered}{ 4x-3 }$. | 1 |
| 1461 | Add $ \, \color{blue}{ 5x^2-6x+5 } \, $ and $ \, \color{orangered}{ 2x^2-12x+8 }$. | 1 |
| 1462 | Subtract polynomials: $ \, \color{blue}{ 2x^2-12x+8 } \, $ , $ \, \color{orangered}{ 5x^2-6x+5 }$. | 1 |
| 1463 | Multiply polynomial $ \, \color{blue}{ 9x-5 } \, $ by $ \, \color{orangered}{ 2x^2+12x-3 }$. | 1 |
| 1464 | Add $ \, \color{blue}{ 7x^5-10x^4+3x^2+17 } \, $ and $ \, \color{orangered}{ -2x^5-8x^3+2x-2 }$. | 1 |
| 1465 | Subtract polynomials: $ \, \color{blue}{ 7x^5-10x^4+3x^2+17 } \, $ , $ \, \color{orangered}{ -2x^5-8x^3+2x-2 }$. | 1 |
| 1466 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1467 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1468 | Multiply polynomial $ \, \color{blue}{ 2x^2+x-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 1469 | Multiply polynomial $ \, \color{blue}{ 4x^2 } \, $ by $ \, \color{orangered}{ 3x^2-4x-4 }$. | 1 |
| 1470 | Add $ \, \color{blue}{ 4x^5-7x+7 } \, $ and $ \, \color{orangered}{ 5x^4+8x-2 }$. | 1 |
| 1471 | Add $ \, \color{blue}{ 4x^4-7x+7 } \, $ and $ \, \color{orangered}{ 5x^4+8x-2 }$. | 1 |
| 1472 | Multiply polynomial $ \, \color{blue}{ 5x } \, $ by $ \, \color{orangered}{ 6x^2+8x+6 }$. | 1 |
| 1473 | Add $ \, \color{blue}{ 7x^2+x-3x^4 } \, $ and $ \, \color{orangered}{ x^2+8x^4+7x }$. | 1 |
| 1474 | Subtract polynomials: $ \, \color{blue}{ 6x^3-4x-4x^4 } \, $ , $ \, \color{orangered}{ 3x+6x^3-6x^4 }$. | 1 |
| 1475 | Multiply polynomial $ \, \color{blue}{ 4x+8 } \, $ by $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 1476 | Subtract polynomials: $ \, \color{blue}{ x+2x^3-2x^2 } \, $ , $ \, \color{orangered}{ 2x^2-4-2x }$. | 1 |
| 1477 | Subtract polynomials: $ \, \color{blue}{ 9x^2+3 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1478 | Subtract polynomials: $ \, \color{blue}{ x-4 } \, $ , $ \, \color{orangered}{ 16x-8 }$. | 1 |
| 1479 | Multiply polynomial $ \, \color{blue}{ x+4x+9x } \, $ by $ \, \color{orangered}{ 16x+25x+36x }$. | 1 |
| 1480 | Add $ \, \color{blue}{ 3x+5 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 1 |
| 1481 | Add $ \, \color{blue}{ 9x-6 } \, $ and $ \, \color{orangered}{ 4x+3 }$. | 1 |
| 1482 | Multiply polynomial $ \, \color{blue}{ -2x^3 } \, $ by $ \, \color{orangered}{ 3x^2-4x+7 }$. | 1 |
| 1483 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 1484 | Multiply polynomial $ \, \color{blue}{ x-6 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 1485 | Multiply polynomial $ \, \color{blue}{ y+3 } \, $ by $ \, \color{orangered}{ 2y^2-3y+4 }$. | 1 |
| 1486 | Add $ \, \color{blue}{ -6x^6-22x^5-26x^4-11x^3+5x^2+11x } \, $ and $ \, \color{orangered}{ -9x^6-4x^5-15x^4-7x^3-6x^2-3x }$. | 1 |
| 1487 | Multiply polynomial $ \, \color{blue}{ 5x^3+3x^2+10x+1 } \, $ by $ \, \color{orangered}{ -x^3-x^2+x }$. | 1 |
| 1488 | Add $ \, \color{blue}{ -5x^6-8x^5-8x^4-8x^3+9x^2+x } \, $ and $ \, \color{orangered}{ -6x^6-x^5-15x^4-16x^3-9x^2-15x }$. | 1 |
| 1489 | Multiply polynomial $ \, \color{blue}{ -3n+4 } \, $ by $ \, \color{orangered}{ 2n-4 }$. | 1 |
| 1490 | Add $ \, \color{blue}{ 3x^2-4x+8 } \, $ and $ \, \color{orangered}{ 0x^2-2x-8 }$. | 1 |
| 1491 | Multiply polynomial $ \, \color{blue}{ 2m^4+5m^2 } \, $ by $ \, \color{orangered}{ m^3-7m }$. | 1 |
| 1492 | Add $ \, \color{blue}{ 3x^2+5x-7 } \, $ and $ \, \color{orangered}{ x^2-2x+4 }$. | 1 |
| 1493 | Subtract polynomials: $ \, \color{blue}{ 3x } \, $ , $ \, \color{orangered}{ 2x^2-4x+1 }$. | 1 |
| 1494 | Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ x+4 }$. | 1 |
| 1495 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 1496 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 1497 | Subtract polynomials: $ \, \color{blue}{ 10x^2-3x } \, $ , $ \, \color{orangered}{ 4x^2+5x }$. | 1 |
| 1498 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1499 | Add $ \, \color{blue}{ 3x-2 } \, $ and $ \, \color{orangered}{ 5x+1 }$. | 1 |
| 1500 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 5x+1 }$. | 1 |