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 | Subtract polynomials: $ \, \color{blue}{ -y^2+y+2 } \, $ , $ \, \color{orangered}{ y^2-5y-2 }$. | 1 |
| 1452 | Multiply polynomial $ \, \color{blue}{ -3y+1 } \, $ by $ \, \color{orangered}{ 4y^2-y-7 }$. | 1 |
| 1453 | Multiply polynomial $ \, \color{blue}{ 2x^3+3x^2 } \, $ by $ \, \color{orangered}{ 4x^4-5x^3-6x^2 }$. | 1 |
| 1454 | Subtract polynomials: $ \, \color{blue}{ -x^2+2x } \, $ , $ \, \color{orangered}{ -2x }$. | 1 |
| 1455 | Subtract polynomials: $ \, \color{blue}{ x^2 } \, $ , $ \, \color{orangered}{ 2x^2-5x }$. | 1 |
| 1456 | Add $ \, \color{blue}{ 5x^2+7x+1 } \, $ and $ \, \color{orangered}{ 2x^3-6x+8 }$. | 1 |
| 1457 | Add $ \, \color{blue}{ 2x^2-7x-3 } \, $ and $ \, \color{orangered}{ x^2+6x-1 }$. | 1 |
| 1458 | Multiply polynomial $ \, \color{blue}{ 9x-14x+5x-2 } \, $ by $ \, \color{orangered}{ 4x-9x+8 }$. | 1 |
| 1459 | Add $ \, \color{blue}{ x^2-x+4 } \, $ and $ \, \color{orangered}{ x^2+5x^2-6 }$. | 1 |
| 1460 | Subtract polynomials: $ \, \color{blue}{ 4x^2-6x+9 } \, $ , $ \, \color{orangered}{ 2x^2-3x+4 }$. | 1 |
| 1461 | Multiply polynomial $ \, \color{blue}{ x^2+4 } \, $ by $ \, \color{orangered}{ x^2+2x+1 }$. | 1 |
| 1462 | Multiply polynomial $ \, \color{blue}{ y+6 } \, $ by $ \, \color{orangered}{ y+4 }$. | 1 |
| 1463 | Multiply polynomial $ \, \color{blue}{ z-5 } \, $ by $ \, \color{orangered}{ z+3 }$. | 1 |
| 1464 | Multiply polynomial $ \, \color{blue}{ a+8 } \, $ by $ \, \color{orangered}{ a-3 }$. | 1 |
| 1465 | Multiply polynomial $ \, \color{blue}{ h-8 } \, $ by $ \, \color{orangered}{ h-9 }$. | 1 |
| 1466 | Multiply polynomial $ \, \color{blue}{ 3m+1 } \, $ by $ \, \color{orangered}{ m+9 }$. | 1 |
| 1467 | Multiply polynomial $ \, \color{blue}{ 3k-1 } \, $ by $ \, \color{orangered}{ 4k+9 }$. | 1 |
| 1468 | Multiply polynomial $ \, \color{blue}{ 5g+3 } \, $ by $ \, \color{orangered}{ g+8 }$. | 1 |
| 1469 | Add $ \, \color{blue}{ x^2-3x+1 } \, $ and $ \, \color{orangered}{ 3x^2+2x+3 }$. | 1 |
| 1470 | Add $ \, \color{blue}{ x^2-3x+1 } \, $ and $ \, \color{orangered}{ 3x^2+2x+3 }$. | 1 |
| 1471 | Subtract polynomials: $ \, \color{blue}{ 3x^2+2x-5 } \, $ , $ \, \color{orangered}{ -3x^2+2x-2 }$. | 1 |
| 1472 | Multiply polynomial $ \, \color{blue}{ -3+30x-10x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1473 | Subtract polynomials: $ \, \color{blue}{ 10x^2-7x+7 } \, $ , $ \, \color{orangered}{ 4x^2+5x-9 }$. | 1 |
| 1474 | Add $ \, \color{blue}{ -6x^3-9x^2-10x+6 } \, $ and $ \, \color{orangered}{ 8x^4-5x^3+4x^2+9x+3 }$. | 1 |
| 1475 | Subtract polynomials: $ \, \color{blue}{ 11x^4+3x^3-12x^2+5x } \, $ , $ \, \color{orangered}{ 2x^4+7x^3-8x-11 }$. | 1 |
| 1476 | Add $ \, \color{blue}{ b^4+1-2b^2 } \, $ and $ \, \color{orangered}{ -2b+3b^2+3 }$. | 1 |
| 1477 | Multiply polynomial $ \, \color{blue}{ 4x^3-3x-1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 1478 | Add $ \, \color{blue}{ -7x^{10}+2x^6-3x^3 } \, $ and $ \, \color{orangered}{ 2x^{10}-x^6+x^3 }$. | 1 |
| 1479 | Multiply polynomial $ \, \color{blue}{ 3x+8 } \, $ by $ \, \color{orangered}{ 2x^2-3x+3 }$. | 1 |
| 1480 | Add $ \, \color{blue}{ 4p^2-9p+11 } \, $ and $ \, \color{orangered}{ p^2-5p+4 }$. | 1 |
| 1481 | Subtract polynomials: $ \, \color{blue}{ x^6+x^4+3x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1482 | Subtract polynomials: $ \, \color{blue}{ x^6+x^4+3x } \, $ , $ \, \color{orangered}{ x^3+x+1 }$. | 1 |
| 1483 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 1484 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+3 }$. | 1 |
| 1485 | Multiply polynomial $ \, \color{blue}{ 4x-9 } \, $ by $ \, \color{orangered}{ 7x+4 }$. | 1 |
| 1486 | Multiply polynomial $ \, \color{blue}{ 7k-6 } \, $ by $ \, \color{orangered}{ k+7 }$. | 1 |
| 1487 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ 11x-3 }$. | 1 |
| 1488 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x^3 } \, $ , $ \, \color{orangered}{ -x^2-6x^3-3x }$. | 1 |
| 1489 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ 2x-6-x }$. | 1 |
| 1490 | Subtract polynomials: $ \, \color{blue}{ x^2+8-4x } \, $ , $ \, \color{orangered}{ 8+x^2-7x }$. | 1 |
| 1491 | Multiply polynomial $ \, \color{blue}{ -3b^2+4b+5 } \, $ by $ \, \color{orangered}{ -2b-1 }$. | 1 |
| 1492 | Multiply polynomial $ \, \color{blue}{ 2n^2-5n-5 } \, $ by $ \, \color{orangered}{ 3n-3 }$. | 1 |
| 1493 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 1494 | Subtract polynomials: $ \, \color{blue}{ 3x^3 } \, $ , $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 1495 | Add $ \, \color{blue}{ 5m^3+3m+5 } \, $ and $ \, \color{orangered}{ 18m^3+10 }$. | 1 |
| 1496 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x-9 }$. | 1 |
| 1497 | Add $ \, \color{blue}{ -x^2+5x-4 } \, $ and $ \, \color{orangered}{ 8x-3x^2+9 }$. | 1 |
| 1498 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+4 }$. | 1 |
| 1499 | Multiply polynomial $ \, \color{blue}{ 3x^9+10 } \, $ by $ \, \color{orangered}{ 4x^2-7 }$. | 1 |
| 1500 | Multiply polynomial $ \, \color{blue}{ 10x^3+3x^2-10x-3 } \, $ by $ \, \color{orangered}{ 4x-9 }$. | 1 |