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 | Add $ \, \color{blue}{ 13n^2+11n-2n^4 } \, $ and $ \, \color{orangered}{ -13n^2-3n-6n^4 }$. | 1 |
| 1502 | Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k+6k^3-8k }$. | 1 |
| 1503 | Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k^2+6k^3-8k }$. | 1 |
| 1504 | Add $ \, \color{blue}{ -7x^5+14-2x } \, $ and $ \, \color{orangered}{ 10x^4+7x+5x^5 }$. | 1 |
| 1505 | Subtract polynomials: $ \, \color{blue}{ 8k+k^2-6 } \, $ , $ \, \color{orangered}{ -10k+7-2k^2 }$. | 1 |
| 1506 | Multiply polynomial $ \, \color{blue}{ 3n+11 } \, $ by $ \, \color{orangered}{ -n-6 }$. | 1 |
| 1507 | Multiply polynomial $ \, \color{blue}{ k-3k } \, $ by $ \, \color{orangered}{ 6-5k }$. | 1 |
| 1508 | Subtract polynomials: $ \, \color{blue}{ -4x^2-2 } \, $ , $ \, \color{orangered}{ -9x-6 }$. | 1 |
| 1509 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 4x^2-3x-5 }$. | 1 |
| 1510 | Multiply polynomial $ \, \color{blue}{ x^2-4 } \, $ by $ \, \color{orangered}{ 5x+7 }$. | 1 |
| 1511 | Add $ \, \color{blue}{ 4556 } \, $ and $ \, \color{orangered}{ 5 }$. | 1 |
| 1512 | Multiply polynomial $ \, \color{blue}{ 4556 } \, $ by $ \, \color{orangered}{ 556 }$. | 1 |
| 1513 | Multiply polynomial $ \, \color{blue}{ 327 } \, $ by $ \, \color{orangered}{ 456 }$. | 1 |
| 1514 | Subtract polynomials: $ \, \color{blue}{ 6x^2-4x+9 } \, $ , $ \, \color{orangered}{ -3x-2 }$. | 1 |
| 1515 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x-8 } \, $ by $ \, \color{orangered}{ x^2+x+2 }$. | 1 |
| 1516 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1517 | Add $ \, \color{blue}{ 5x^2-9x-10 } \, $ and $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1518 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 1519 | Add $ \, \color{blue}{ 15f-12f+f+6 } \, $ and $ \, \color{orangered}{ -27f+8f+6f-1 }$. | 1 |
| 1520 | Multiply polynomial $ \, \color{blue}{ x^3+512 } \, $ by $ \, \color{orangered}{ x+8 }$. | 1 |
| 1521 | Subtract polynomials: $ \, \color{blue}{ 2x^2+7 } \, $ , $ \, \color{orangered}{ x^2+2x-1 }$. | 1 |
| 1522 | Add $ \, \color{blue}{ -7x^2-7x+5 } \, $ and $ \, \color{orangered}{ 10x+6 }$. | 1 |
| 1523 | Subtract polynomials: $ \, \color{blue}{ 5r^2+8 } \, $ , $ \, \color{orangered}{ 5r^2+1 }$. | 1 |
| 1524 | Multiply polynomial $ \, \color{blue}{ -3x^2+3 } \, $ by $ \, \color{orangered}{ -2x^2 }$. | 1 |
| 1525 | Add $ \, \color{blue}{ 2x^3+7x-4 } \, $ and $ \, \color{orangered}{ 2x^2-8x+1 }$. | 1 |
| 1526 | Add $ \, \color{blue}{ -7x^2-1 } \, $ and $ \, \color{orangered}{ x^2-x-5 }$. | 1 |
| 1527 | Subtract polynomials: $ \, \color{blue}{ 12x^2-25x-7 } \, $ , $ \, \color{orangered}{ 12x-32x+32 }$. | 1 |
| 1528 | Subtract polynomials: $ \, \color{blue}{ 3x^3-25x^2-44x+10 } \, $ , $ \, \color{orangered}{ 2x^3-7x^2-11x+7 }$. | 1 |
| 1529 | Subtract polynomials: $ \, \color{blue}{ -x^2+x-1 } \, $ , $ \, \color{orangered}{ x^2-x+6 }$. | 1 |
| 1530 | Subtract polynomials: $ \, \color{blue}{ 6x^2+7x+7 } \, $ , $ \, \color{orangered}{ -2x^2+4x-7 }$. | 1 |
| 1531 | Add $ \, \color{blue}{ -x^2-3x+5 } \, $ and $ \, \color{orangered}{ -9x^2+1 }$. | 1 |
| 1532 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 1 |
| 1533 | Multiply polynomial $ \, \color{blue}{ 8x^2+58x+100 } \, $ by $ \, \color{orangered}{ x-6 }$. | 1 |
| 1534 | Multiply polynomial $ \, \color{blue}{ 15x^5-58x^4-69x^3-79x^2-6x+5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 1535 | Multiply polynomial $ \, \color{blue}{ 2m+1 } \, $ by $ \, \color{orangered}{ -2m^2-m-2 }$. | 1 |
| 1536 | Subtract polynomials: $ \, \color{blue}{ 5x^2-6x-4 } \, $ , $ \, \color{orangered}{ 2x^2-6x+7 }$. | 1 |
| 1537 | Subtract polynomials: $ \, \color{blue}{ 3n+n^3-4n^2 } \, $ , $ \, \color{orangered}{ n^2-3n-2n^3+7 }$. | 1 |
| 1538 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1539 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1540 | Multiply polynomial $ \, \color{blue}{ 5x^2-6x+5 } \, $ by $ \, \color{orangered}{ 2x^2-12x+8 }$. | 1 |
| 1541 | Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ -6x^2+5 }$. | 1 |
| 1542 | Multiply polynomial $ \, \color{blue}{ 3x^2+x-5 } \, $ by $ \, \color{orangered}{ 2x^2+2x }$. | 1 |
| 1543 | Subtract polynomials: $ \, \color{blue}{ 4x-5 } \, $ , $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 1544 | Subtract polynomials: $ \, \color{blue}{ 4x-3 } \, $ , $ \, \color{orangered}{ 2x+3 }$. | 1 |
| 1545 | Subtract polynomials: $ \, \color{blue}{ 7x-3 } \, $ , $ \, \color{orangered}{ 4x-8 }$. | 1 |
| 1546 | Multiply polynomial $ \, \color{blue}{ 5x+1 } \, $ by $ \, \color{orangered}{ x^2-6x-3 }$. | 1 |
| 1547 | Multiply polynomial $ \, \color{blue}{ 7r-4 } \, $ by $ \, \color{orangered}{ 6r^2+6r+4 }$. | 1 |
| 1548 | Multiply polynomial $ \, \color{blue}{ 7x^2+2x-7 } \, $ by $ \, \color{orangered}{ 7x+3 }$. | 1 |
| 1549 | Multiply polynomial $ \, \color{blue}{ 4x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x+6 }$. | 1 |
| 1550 | Multiply polynomial $ \, \color{blue}{ 8x^2-3x-6 } \, $ by $ \, \color{orangered}{ 2x^2+4x+1 }$. | 1 |
