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 |
| 2501 | Multiply polynomial $ \, \color{blue}{ -5x } \, $ by $ \, \color{orangered}{ -6x^2+1 }$. | 1 |
| 2502 | Add $ \, \color{blue}{ -3a^3+2a^2-4 } \, $ and $ \, \color{orangered}{ a^3-3a^2-5a+7 }$. | 1 |
| 2503 | Subtract polynomials: $ \, \color{blue}{ -4x^6+3x^3+20 } \, $ , $ \, \color{orangered}{ 17x^6+12x^5-6x^4 }$. | 1 |
| 2504 | Subtract polynomials: $ \, \color{blue}{ 2x^2-6x-5-9x^2+5x-4 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2505 | Multiply polynomial $ \, \color{blue}{ 2x^2-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 2506 | Add $ \, \color{blue}{ 4x+3 } \, $ and $ \, \color{orangered}{ x-2 }$. | 1 |
| 2507 | Add $ \, \color{blue}{ x-3 } \, $ and $ \, \color{orangered}{ x^2-9 }$. | 1 |
| 2508 | Add $ \, \color{blue}{ x^2+2x } \, $ and $ \, \color{orangered}{ -2x }$. | 1 |
| 2509 | Add $ \, \color{blue}{ x^2+5x+4 } \, $ and $ \, \color{orangered}{ x+1 }$. | 1 |
| 2510 | Add $ \, \color{blue}{ x^2-x-6 } \, $ and $ \, \color{orangered}{ x^2-4x+3 }$. | 1 |
| 2511 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x^2-9 }$. | 1 |
| 2512 | Multiply polynomial $ \, \color{blue}{ x^2+2x } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 2513 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x-3 } \, $ by $ \, \color{orangered}{ 4x^2-5 }$. | 1 |
| 2514 | Multiply polynomial $ \, \color{blue}{ 2x^2+2x-3 } \, $ by $ \, \color{orangered}{ 5x^2+5x-6 }$. | 1 |
| 2515 | Subtract polynomials: $ \, \color{blue}{ 28a+4a } \, $ , $ \, \color{orangered}{ 16a-2a }$. | 1 |
| 2516 | Multiply polynomial $ \, \color{blue}{ 4x^{26} } \, $ by $ \, \color{orangered}{ x^{23}-3 }$. | 1 |
| 2517 | Add $ \, \color{blue}{ 5x+9 } \, $ and $ \, \color{orangered}{ 6x+4 }$. | 1 |
| 2518 | Add $ \, \color{blue}{ 2x^2-5x } \, $ and $ \, \color{orangered}{ 2x^2+5x }$. | 1 |
| 2519 | Add $ \, \color{blue}{ 5x-9 } \, $ and $ \, \color{orangered}{ 6x+4 }$. | 1 |
| 2520 | Add $ \, \color{blue}{ -4a-3 } \, $ and $ \, \color{orangered}{ 7a-4 }$. | 1 |
| 2521 | Add $ \, \color{blue}{ x-9 } \, $ and $ \, \color{orangered}{ -x-9 }$. | 1 |
| 2522 | Add $ \, \color{blue}{ 6x+13 } \, $ and $ \, \color{orangered}{ 11x }$. | 1 |
| 2523 | Add $ \, \color{blue}{ 16r^2-2r } \, $ and $ \, \color{orangered}{ 4r^2+6r }$. | 1 |
| 2524 | Add $ \, \color{blue}{ 20x } \, $ and $ \, \color{orangered}{ 13x^2-12x }$. | 1 |
| 2525 | Add $ \, \color{blue}{ 6x^2-3 } \, $ and $ \, \color{orangered}{ 8x^2+4 }$. | 1 |
| 2526 | Multiply polynomial $ \, \color{blue}{ 2m^2-m+7 } \, $ by $ \, \color{orangered}{ 3m^2+m-5 }$. | 1 |
| 2527 | Add $ \, \color{blue}{ 2m^2-m+7 } \, $ and $ \, \color{orangered}{ 3m^2+m-5 }$. | 1 |
| 2528 | Add $ \, \color{blue}{ 2m^2-m+4 } \, $ and $ \, \color{orangered}{ 3m^2+m-5 }$. | 1 |
| 2529 | Subtract polynomials: $ \, \color{blue}{ 3x^{25}-10 } \, $ , $ \, \color{orangered}{ 5x^2-3x-7 }$. | 1 |
| 2530 | Add $ \, \color{blue}{ 3x^2+4x-10 } \, $ and $ \, \color{orangered}{ 5x^2-3x+7 }$. | 1 |
| 2531 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-10 } \, $ by $ \, \color{orangered}{ 5x^2-3x+7 }$. | 1 |
| 2532 | Subtract polynomials: $ \, \color{blue}{ 3x^2+4x-10 } \, $ , $ \, \color{orangered}{ 5x^2-3x+7 }$. | 1 |
| 2533 | Multiply polynomial $ \, \color{blue}{ 2x^3+5x^2-3x+1 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2534 | Add $ \, \color{blue}{ 4x^2-11x+10 } \, $ and $ \, \color{orangered}{ 5x-31 }$. | 1 |
| 2535 | Multiply polynomial $ \, \color{blue}{ -x^3-2 } \, $ by $ \, \color{orangered}{ x^2+3x-3 }$. | 1 |
| 2536 | Multiply polynomial $ \, \color{blue}{ 2x^2+4x-20 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2537 | Multiply polynomial $ \, \color{blue}{ 2x^2+10x-20 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2538 | Multiply polynomial $ \, \color{blue}{ x^2+9x+7 } \, $ by $ \, \color{orangered}{ 3x^2+9x+5 }$. | 1 |
| 2539 | Multiply polynomial $ \, \color{blue}{ 2x-4 } \, $ by $ \, \color{orangered}{ 3x+5 }$. | 1 |
| 2540 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 3x^2+7 }$. | 1 |
| 2541 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ 3x^2+7x }$. | 1 |
| 2542 | Subtract polynomials: $ \, \color{blue}{ -3x } \, $ , $ \, \color{orangered}{ 3x^2-5x }$. | 1 |
| 2543 | Subtract polynomials: $ \, \color{blue}{ 5x+3 } \, $ , $ \, \color{orangered}{ -2x }$. | 1 |
| 2544 | Add $ \, \color{blue}{ 4x } \, $ and $ \, \color{orangered}{ -x^2+2x }$. | 1 |
| 2545 | Add $ \, \color{blue}{ -5x } \, $ and $ \, \color{orangered}{ -3x+2 }$. | 1 |
| 2546 | Multiply polynomial $ \, \color{blue}{ -2x+5 } \, $ by $ \, \color{orangered}{ -3x^2 }$. | 1 |
| 2547 | Multiply polynomial $ \, \color{blue}{ -x^2+5x } \, $ by $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 2548 | Add $ \, \color{blue}{ -x^2+5x } \, $ and $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 2549 | Add $ \, \color{blue}{ -x^2 } \, $ and $ \, \color{orangered}{ -2x^2+3x }$. | 1 |
| 2550 | Add $ \, \color{blue}{ -2x+3 } \, $ and $ \, \color{orangered}{ -3x+1 }$. | 1 |