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 |
| 2351 | Multiply polynomial $ \, \color{blue}{ 32x+26x+23x+22x+16x+12x+11x+10x+8x+7x+5x+4x+2x+x+1 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2352 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 5x^2+8x+8 }$. | 1 |
| 2353 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ 3x^3-9-3x }$. | 1 |
| 2354 | Multiply polynomial $ \, \color{blue}{ x^2+3x-28 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 2355 | Add $ \, \color{blue}{ 3x^2-19x-40 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2356 | Multiply polynomial $ \, \color{blue}{ p+6 } \, $ by $ \, \color{orangered}{ 3p-2 }$. | 1 |
| 2357 | Add $ \, \color{blue}{ 6x-x^2+8-7x+3x^2 } \, $ and $ \, \color{orangered}{ -x+2x^2+8 }$. | 1 |
| 2358 | Subtract polynomials: $ \, \color{blue}{ 3x^2-7x+3 } \, $ , $ \, \color{orangered}{ x^2+5x-2 }$. | 1 |
| 2359 | Multiply polynomial $ \, \color{blue}{ x^4-81 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2360 | Add $ \, \color{blue}{ 8x^2 } \, $ and $ \, \color{orangered}{ 4x }$. | 1 |
| 2361 | Add $ \, \color{blue}{ 6x^2+2 } \, $ and $ \, \color{orangered}{ x+1+x+15 }$. | 1 |
| 2362 | Multiply polynomial $ \, \color{blue}{ 3x+8 } \, $ by $ \, \color{orangered}{ 2x^2-3x+3 }$. | 1 |
| 2363 | Multiply polynomial $ \, \color{blue}{ -3x-5 } \, $ by $ \, \color{orangered}{ 3x^2+x-1 }$. | 1 |
| 2364 | Subtract polynomials: $ \, \color{blue}{ x^3-2x^2-65x+18 } \, $ , $ \, \color{orangered}{ x-9 }$. | 1 |
| 2365 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^3+8 }$. | 1 |
| 2366 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x+5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 1 |
| 2367 | Subtract polynomials: $ \, \color{blue}{ 2x^2 } \, $ , $ \, \color{orangered}{ -2x }$. | 1 |
| 2368 | Multiply polynomial $ \, \color{blue}{ 2x^2 } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 2369 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x+x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2370 | Multiply polynomial $ \, \color{blue}{ 4x^2-x+6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2371 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 5x^2+x^3 }$. | 1 |
| 2372 | Add $ \, \color{blue}{ 4x^3-x^2 } \, $ and $ \, \color{orangered}{ 5x^2+x^3 }$. | 1 |
| 2373 | Multiply polynomial $ \, \color{blue}{ 8x^2-3x+1 } \, $ by $ \, \color{orangered}{ -3x+2 }$. | 1 |
| 2374 | Multiply polynomial $ \, \color{blue}{ -x-6 } \, $ by $ \, \color{orangered}{ 3x^2+2x+9 }$. | 1 |
| 2375 | Multiply polynomial $ \, \color{blue}{ -2x-4x+1 } \, $ by $ \, \color{orangered}{ 4x+9 }$. | 1 |
| 2376 | Add $ \, \color{blue}{ 7j^3-2 } \, $ and $ \, \color{orangered}{ 5j^3-j-3 }$. | 1 |
| 2377 | Add $ \, \color{blue}{ 8a^5-4 } \, $ and $ \, \color{orangered}{ 3a^5+a-2 }$. | 1 |
| 2378 | Add $ \, \color{blue}{ -4x+4x^3+7+ \cancel{3x}-9 -\cancel{3x} } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
| 2379 | Add $ \, \color{blue}{ -x^2+4+1 } \, $ and $ \, \color{orangered}{ 3x^3-9-3x }$. | 1 |
| 2380 | Add $ \, \color{blue}{ -x^2+4+1 } \, $ and $ \, \color{orangered}{ 3x^2-9-3x }$. | 1 |
| 2381 | Add $ \, \color{blue}{ -x^2+x-4 } \, $ and $ \, \color{orangered}{ 3x^2-8x-2 }$. | 1 |
| 2382 | Add $ \, \color{blue}{ -x^2-5x-3 } \, $ and $ \, \color{orangered}{ -7x^2-8x-8 }$. | 1 |
| 2383 | Multiply polynomial $ \, \color{blue}{ 33x-10 } \, $ by $ \, \color{orangered}{ x^2+6 }$. | 1 |
| 2384 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x+4 }$. | 1 |
| 2385 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$. | 1 |
| 2386 | Multiply polynomial $ \, \color{blue}{ 6x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+7x-7 }$. | 1 |
| 2387 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 4x+1 }$. | 1 |
| 2388 | Multiply polynomial $ \, \color{blue}{ 2u-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
| 2389 | Multiply polynomial $ \, \color{blue}{ 2u^2-u-3 } \, $ by $ \, \color{orangered}{ 6u-5 }$. | 1 |
| 2390 | Multiply polynomial $ \, \color{blue}{ 5x-2 } \, $ by $ \, \color{orangered}{ 8x+3 }$. | 1 |
| 2391 | Multiply polynomial $ \, \color{blue}{ 3x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2392 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2393 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x+1 } \, $ by $ \, \color{orangered}{ 3x^2+2x+1 }$. | 1 |
| 2394 | Add $ \, \color{blue}{ 8x^5-4 } \, $ and $ \, \color{orangered}{ 3x^5+x-2 }$. | 1 |
| 2395 | Add $ \, \color{blue}{ -5x^2-x+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 1 |
| 2396 | Add $ \, \color{blue}{ -4x+4x^3+7 } \, $ and $ \, \color{orangered}{ 3x^2-9-3x }$. | 1 |
| 2397 | Subtract polynomials: $ \, \color{blue}{ -x^2-5x-3 } \, $ , $ \, \color{orangered}{ -7x^2-8x-8 }$. | 1 |
| 2398 | Subtract polynomials: $ \, \color{blue}{ 5x^3+5x^2+5 } \, $ , $ \, \color{orangered}{ 6x^3-5x^2+18x-5 }$. | 1 |
| 2399 | Subtract polynomials: $ \, \color{blue}{ 5x^3+3x^2+5 } \, $ , $ \, \color{orangered}{ 7x^3-9x^2+8x-5 }$. | 1 |
| 2400 | Multiply polynomial $ \, \color{blue}{ 6x^2-30x } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
