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 |
| 2451 | Subtract polynomials: $ \, \color{blue}{ -3x+15 } \, $ , $ \, \color{orangered}{ -3x+9 }$. | 1 |
| 2452 | Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ x^2-5 }$. | 1 |
| 2453 | Multiply polynomial $ \, \color{blue}{ 8x-2 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 1 |
| 2454 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2455 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 2456 | Multiply polynomial $ \, \color{blue}{ x^3+5x^2-x } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2457 | Multiply polynomial $ \, \color{blue}{ -7x^2-2 } \, $ by $ \, \color{orangered}{ x^2-1 }$. | 1 |
| 2458 | Add $ \, \color{blue}{ 8x-3x+8 } \, $ and $ \, \color{orangered}{ 6x-9x+4 }$. | 1 |
| 2459 | Multiply polynomial $ \, \color{blue}{ x^3+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2460 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2461 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-4 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 2462 | Multiply polynomial $ \, \color{blue}{ x^2+x-6 } \, $ by $ \, \color{orangered}{ x^2-6x+9 }$. | 1 |
| 2463 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ x-13x^2+x-4 }$. | 1 |
| 2464 | Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ 6x+3 }$. | 1 |
| 2465 | Add $ \, \color{blue}{ -3x+9 } \, $ and $ \, \color{orangered}{ 7x^2-2x+1 }$. | 1 |
| 2466 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x^2-5x+4 }$. | 1 |
| 2467 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 3x^2-3x-1 }$. | 1 |
| 2468 | Multiply polynomial $ \, \color{blue}{ -4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-x-1 }$. | 1 |
| 2469 | Multiply polynomial $ \, \color{blue}{ 3x+1 } \, $ by $ \, \color{orangered}{ 3x^2-10x-3 }$. | 1 |
| 2470 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ x^2-6x+1 }$. | 1 |
| 2471 | Multiply polynomial $ \, \color{blue}{ 4x^2+x+2 } \, $ by $ \, \color{orangered}{ -3x^2+4x-1 }$. | 1 |
| 2472 | Add $ \, \color{blue}{ 30 } \, $ and $ \, \color{orangered}{ 100x^2 }$. | 1 |
| 2473 | Add $ \, \color{blue}{ 8a+1 } \, $ and $ \, \color{orangered}{ 4-7a^3-5a }$. | 1 |
| 2474 | Subtract polynomials: $ \, \color{blue}{ 4y+5y^2-6 } \, $ , $ \, \color{orangered}{ 5y+27-y^2 }$. | 1 |
| 2475 | Add $ \, \color{blue}{ 4x^3+6x-7 } \, $ and $ \, \color{orangered}{ 3x^3-5x^2-5x }$. | 1 |
| 2476 | Multiply polynomial $ \, \color{blue}{ x+10 } \, $ by $ \, \color{orangered}{ 3x^2-3x+2 }$. | 1 |
| 2477 | Multiply polynomial $ \, \color{blue}{ 6x^3 } \, $ by $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 2478 | Subtract polynomials: $ \, \color{blue}{ 6x^3 } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 2479 | Subtract polynomials: $ \, \color{blue}{ 5x+8 } \, $ , $ \, \color{orangered}{ 2x^2+6x-3 }$. | 1 |
| 2480 | Add $ \, \color{blue}{ 5x^3-9x^2-42x-9 } \, $ and $ \, \color{orangered}{ x-4 }$. | 1 |
| 2481 | Multiply polynomial $ \, \color{blue}{ 3x-8x+x+6 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2482 | Multiply polynomial $ \, \color{blue}{ x^3-4x^2+x+6 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2483 | Subtract polynomials: $ \, \color{blue}{ 3y+4 } \, $ , $ \, \color{orangered}{ 3y-4 }$. | 1 |
| 2484 | Subtract polynomials: $ \, \color{blue}{ x^3-2x+3 } \, $ , $ \, \color{orangered}{ 3x^2+4x-3 }$. | 1 |
| 2485 | Subtract polynomials: $ \, \color{blue}{ 3x^2+4x-3 } \, $ , $ \, \color{orangered}{ x^2-2x+3 }$. | 1 |
| 2486 | Multiply polynomial $ \, \color{blue}{ 9-64x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2487 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x } \, $ by $ \, \color{orangered}{ 3x^2+9x+3 }$. | 1 |
| 2488 | Add $ \, \color{blue}{ 4x^3+2x+2x^2-8 } \, $ and $ \, \color{orangered}{ 2x^3+x^2+9 }$. | 1 |
| 2489 | Multiply polynomial $ \, \color{blue}{ 6x^2-5 } \, $ by $ \, \color{orangered}{ 6x^2-5 }$. | 1 |
| 2490 | Multiply polynomial $ \, \color{blue}{ 6x+5 } \, $ by $ \, \color{orangered}{ 6x+5 }$. | 1 |
| 2491 | Multiply polynomial $ \, \color{blue}{ 2x^2+5x } \, $ by $ \, \color{orangered}{ 2x^2-5x }$. | 1 |
| 2492 | Multiply polynomial $ \, \color{blue}{ x+12 } \, $ by $ \, \color{orangered}{ x+12 }$. | 1 |
| 2493 | Multiply polynomial $ \, \color{blue}{ 7x+5 } \, $ by $ \, \color{orangered}{ 7x-5 }$. | 1 |
| 2494 | Multiply polynomial $ \, \color{blue}{ 5x^2-6 } \, $ by $ \, \color{orangered}{ 3x^2-7 }$. | 1 |
| 2495 | Multiply polynomial $ \, \color{blue}{ 9x-2 } \, $ by $ \, \color{orangered}{ 3x+2 }$. | 1 |
| 2496 | Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2+10 }$. | 1 |
| 2497 | Multiply polynomial $ \, \color{blue}{ -x^2+9 } \, $ by $ \, \color{orangered}{ -3x^2-11x+4 }$. | 1 |
| 2498 | Subtract polynomials: $ \, \color{blue}{ 3x^3-2x^2+4x-8 } \, $ , $ \, \color{orangered}{ 5x^3+12x^2-3x-4 }$. | 1 |
| 2499 | Add $ \, \color{blue}{ 4x^3-x^2-8x+3 } \, $ and $ \, \color{orangered}{ x^3+9x^2-4x }$. | 1 |
| 2500 | Add $ \, \color{blue}{ 5x^3-13x^2-7 } \, $ and $ \, \color{orangered}{ 16x^3+8x^2-x+15 }$. | 1 |