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 |
| 1401 | Add $ \, \color{blue}{ x^2+3x+5 } \, $ and $ \, \color{orangered}{ -x^2+6x-4 }$. | 1 |
| 1402 | Add $ \, \color{blue}{ t^2+3t^3-3 } \, $ and $ \, \color{orangered}{ 2t^2+7t-2t^3 }$. | 1 |
| 1403 | Subtract polynomials: $ \, \color{blue}{ g-4 } \, $ , $ \, \color{orangered}{ 3g-6 }$. | 1 |
| 1404 | Subtract polynomials: $ \, \color{blue}{ -5h-2 } \, $ , $ \, \color{orangered}{ 7h+6 }$. | 1 |
| 1405 | Subtract polynomials: $ \, \color{blue}{ -x^2-5 } \, $ , $ \, \color{orangered}{ -3x^2-x-8 }$. | 1 |
| 1406 | Subtract polynomials: $ \, \color{blue}{ k^2+6k^3-4 } \, $ , $ \, \color{orangered}{ 5k^3+7k-3k^2 }$. | 1 |
| 1407 | Multiply polynomial $ \, \color{blue}{ 4x+5 } \, $ by $ \, \color{orangered}{ 4x-5 }$. | 1 |
| 1408 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2+7x+2 }$. | 1 |
| 1409 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3+7x+2 }$. | 1 |
| 1410 | Multiply polynomial $ \, \color{blue}{ 3q^2+5q } \, $ by $ \, \color{orangered}{ 6q^2+8q+9 }$. | 1 |
| 1411 | Multiply polynomial $ \, \color{blue}{ x^5+x^2+x+1 } \, $ by $ \, \color{orangered}{ x^3+1 }$. | 1 |
| 1412 | Subtract polynomials: $ \, \color{blue}{ 5y^2-6y-11 } \, $ , $ \, \color{orangered}{ 6y^2+2y+5 }$. | 1 |
| 1413 | Add $ \, \color{blue}{ -8r^2+11r-6 } \, $ and $ \, \color{orangered}{ 7r^2-9r+14 }$. | 1 |
| 1414 | Subtract polynomials: $ \, \color{blue}{ 11b^2-4b+7 } \, $ , $ \, \color{orangered}{ b^2+8b-9 }$. | 1 |
| 1415 | Add $ \, \color{blue}{ 3-6n^5-8n^4 } \, $ and $ \, \color{orangered}{ -6n^4-3n-8n^5 }$. | 1 |
| 1416 | Add $ \, \color{blue}{ x+3 } \, $ and $ \, \color{orangered}{ x+2 }$. | 1 |
| 1417 | Multiply polynomial $ \, \color{blue}{ 5v^3 } \, $ by $ \, \color{orangered}{ 6v-8 }$. | 1 |
| 1418 | Add $ \, \color{blue}{ -3c-7c^2+4c^3 } \, $ and $ \, \color{orangered}{ 2c^2-4c^4+4 }$. | 1 |
| 1419 | Add $ \, \color{blue}{ 2a+4a^2-4 } \, $ and $ \, \color{orangered}{ -12a^2+2a-14 }$. | 1 |
| 1420 | Add $ \, \color{blue}{ b+4b^2-3 } \, $ and $ \, \color{orangered}{ 2b^2-2b^3+9 }$. | 1 |
| 1421 | Add $ \, \color{blue}{ 10x^2-1 } \, $ and $ \, \color{orangered}{ 5x^2-2x-5 }$. | 1 |
| 1422 | Add $ \, \color{blue}{ 5a-7a^2+1 } \, $ and $ \, \color{orangered}{ 3a^2-2a+3 }$. | 1 |
| 1423 | Multiply polynomial $ \, \color{blue}{ -2x-4 } \, $ by $ \, \color{orangered}{ -x+7 }$. | 1 |
| 1424 | Multiply polynomial $ \, \color{blue}{ 5x-7 } \, $ by $ \, \color{orangered}{ 4x-7 }$. | 1 |
| 1425 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ -4x^2-2x+7 }$. | 1 |
| 1426 | Multiply polynomial $ \, \color{blue}{ 66x^3+120x^2 } \, $ by $ \, \color{orangered}{ 80x^2-24x }$. | 1 |
| 1427 | Subtract polynomials: $ \, \color{blue}{ -2x } \, $ , $ \, \color{orangered}{ -x+2 }$. | 1 |
| 1428 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ x+5 }$. | 1 |
| 1429 | Add $ \, \color{blue}{ -2x^2-10x } \, $ and $ \, \color{orangered}{ -x }$. | 1 |
| 1430 | Add $ \, \color{blue}{ 7x-3 } \, $ and $ \, \color{orangered}{ 8x-3x-6 }$. | 1 |
| 1431 | Subtract polynomials: $ \, \color{blue}{ 6a^2-3a+4 } \, $ , $ \, \color{orangered}{ a^2+3a-6 }$. | 1 |
| 1432 | Add $ \, \color{blue}{ x^8+x^5+x^3 } \, $ and $ \, \color{orangered}{ x^8+x^7 }$. | 1 |
| 1433 | Multiply polynomial $ \, \color{blue}{ 9x+1 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 1 |
| 1434 | Multiply polynomial $ \, \color{blue}{ 4x+5 } \, $ by $ \, \color{orangered}{ 6x-5 }$. | 1 |
| 1435 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3x+8 }$. | 1 |
| 1436 | Add $ \, \color{blue}{ x^2+3x+2 } \, $ and $ \, \color{orangered}{ x^3-x^2-1 }$. | 1 |
| 1437 | Multiply polynomial $ \, \color{blue}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x }$. | 1 |
| 1438 | Multiply polynomial $ \, \color{blue}{ 9x^3+4x^2+6x+3 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 1 |
| 1439 | 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 |
| 1440 | 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 |
| 1441 | Add $ \, \color{blue}{ -15x^6-26x^5-41x^4-18x^3-x^2+8x } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 1442 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 1443 | Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x }$. | 1 |
| 1444 | Subtract polynomials: $ \, \color{blue}{ x+7 } \, $ , $ \, \color{orangered}{ 8x^2-x-1 }$. | 1 |
| 1445 | Add $ \, \color{blue}{ 5x^3-5x-1 } \, $ and $ \, \color{orangered}{ 5x+6 }$. | 1 |
| 1446 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x+4 } \, $ , $ \, \color{orangered}{ 3x^2-4x-3 }$. | 1 |
| 1447 | Add $ \, \color{blue}{ x^2-2x-8 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1448 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 1449 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 1450 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
