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 |
| 2401 | Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ 4x-5x+7 }$. | 1 |
| 2402 | Multiply polynomial $ \, \color{blue}{ 3x^3-2x^2+9x-6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2403 | Add $ \, \color{blue}{ 5x^2-9x-10 } \, $ and $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 2404 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 2405 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2406 | Multiply polynomial $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 1 |
| 2407 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 2408 | Multiply polynomial $ \, \color{blue}{ x^4+5x^3-3x^2-5x+2 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2409 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 2410 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 1 |
| 2411 | Subtract polynomials: $ \, \color{blue}{ x^2-2x } \, $ , $ \, \color{orangered}{ 8x-10 }$. | 1 |
| 2412 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 2413 | Multiply polynomial $ \, \color{blue}{ 2x-6 } \, $ by $ \, \color{orangered}{ 3x+7 }$. | 1 |
| 2414 | Multiply polynomial $ \, \color{blue}{ 3x+10 } \, $ by $ \, \color{orangered}{ 3x-5 }$. | 1 |
| 2415 | Multiply polynomial $ \, \color{blue}{ -4 } \, $ by $ \, \color{orangered}{ 10x }$. | 1 |
| 2416 | Add $ \, \color{blue}{ 2x^2+5x-7 } \, $ and $ \, \color{orangered}{ 3-4x^2+6x }$. | 1 |
| 2417 | Subtract polynomials: $ \, \color{blue}{ 5x^2-2x-5 } \, $ , $ \, \color{orangered}{ -2x^3+5x^2-5x-7 }$. | 1 |
| 2418 | Subtract polynomials: $ \, \color{blue}{ 6x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2419 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 2420 | Add $ \, \color{blue}{ -5x^2+x+9 } \, $ and $ \, \color{orangered}{ -9x^2+9x }$. | 1 |
| 2421 | Multiply polynomial $ \, \color{blue}{ 5463 } \, $ by $ \, \color{orangered}{ 21 }$. | 1 |
| 2422 | Multiply polynomial $ \, \color{blue}{ 4d-3 } \, $ by $ \, \color{orangered}{ -d^2-d-1 }$. | 1 |
| 2423 | Subtract polynomials: $ \, \color{blue}{ x^2-4x+9 } \, $ , $ \, \color{orangered}{ x^2+8x-3 }$. | 1 |
| 2424 | Subtract polynomials: $ \, \color{blue}{ -6x+3 } \, $ , $ \, \color{orangered}{ -6x+8 }$. | 1 |
| 2425 | Subtract polynomials: $ \, \color{blue}{ 2x^2+8x+4 } \, $ , $ \, \color{orangered}{ 8x^2-8x }$. | 1 |
| 2426 | Subtract polynomials: $ \, \color{blue}{ -3n^2 } \, $ , $ \, \color{orangered}{ -7n^2 }$. | 1 |
| 2427 | Multiply polynomial $ \, \color{blue}{ -8x^2-9 } \, $ by $ \, \color{orangered}{ -5x^2+5x }$. | 1 |
| 2428 | Subtract polynomials: $ \, \color{blue}{ 6x+10x+7 } \, $ , $ \, \color{orangered}{ 9x+5 }$. | 1 |
| 2429 | Subtract polynomials: $ \, \color{blue}{ 4x-4 } \, $ , $ \, \color{orangered}{ \cancel{8}-8x^2 -\cancel{8} }$. | 1 |
| 2430 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-1 } \, $ by $ \, \color{orangered}{ 5x^2-x+2 }$. | 1 |
| 2431 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x+4 } \, $ , $ \, \color{orangered}{ 2x^2+5x-1 }$. | 1 |
| 2432 | Multiply polynomial $ \, \color{blue}{ -18x-4x-1 } \, $ by $ \, \color{orangered}{ 5x+10 }$. | 1 |
| 2433 | Add $ \, \color{blue}{ -18x-4x-1 } \, $ and $ \, \color{orangered}{ 5x+10 }$. | 1 |
| 2434 | Add $ \, \color{blue}{ 5c^2+7c+1 } \, $ and $ \, \color{orangered}{ 2c^3-6c+8 }$. | 1 |
| 2435 | Multiply polynomial $ \, \color{blue}{ 1 } \, $ by $ \, \color{orangered}{ 10 }$. | 1 |
| 2436 | Add $ \, \color{blue}{ 1 } \, $ and $ \, \color{orangered}{ 10 }$. | 1 |
| 2437 | Subtract polynomials: $ \, \color{blue}{ 1 } \, $ , $ \, \color{orangered}{ 10 }$. | 1 |
| 2438 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 2439 | Multiply polynomial $ \, \color{blue}{ 7-6i } \, $ by $ \, \color{orangered}{ -8+3i }$. | 1 |
| 2440 | Multiply polynomial $ \, \color{blue}{ -4x+1 } \, $ by $ \, \color{orangered}{ -14x+4x+2 }$. | 1 |
| 2441 | Subtract polynomials: $ \, \color{blue}{ -4x+1 } \, $ , $ \, \color{orangered}{ -14x+4x+2 }$. | 1 |
| 2442 | Subtract polynomials: $ \, \color{blue}{ 9x^2-9x-7 } \, $ , $ \, \color{orangered}{ x^2-6x-2 }$. | 1 |
| 2443 | Add $ \, \color{blue}{ 6x-3x+9 } \, $ and $ \, \color{orangered}{ -10x-8x-7 }$. | 1 |
| 2444 | Add $ \, \color{blue}{ 6x^5+1 } \, $ and $ \, \color{orangered}{ 2x^5+9x-1 }$. | 1 |
| 2445 | Subtract polynomials: $ \, \color{blue}{ 3x+3x^2+9 } \, $ , $ \, \color{orangered}{ 5x^3-7x^2+6x-9 }$. | 1 |
| 2446 | Multiply polynomial $ \, \color{blue}{ x-6 } \, $ by $ \, \color{orangered}{ x+9 }$. | 1 |
| 2447 | Multiply polynomial $ \, \color{blue}{ 5x+4x } \, $ by $ \, \color{orangered}{ 2x+5x }$. | 1 |
| 2448 | Multiply polynomial $ \, \color{blue}{ 4p-2 } \, $ by $ \, \color{orangered}{ 4p+2 }$. | 1 |
| 2449 | Subtract polynomials: $ \, \color{blue}{ x^2+5x+2 } \, $ , $ \, \color{orangered}{ x+2 }$. | 1 |
| 2450 | Add $ \, \color{blue}{ x+8 } \, $ and $ \, \color{orangered}{ 8x+7 }$. | 1 |
