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 |
| 2301 | Add $ \, \color{blue}{ 4x-3x+1 } \, $ and $ \, \color{orangered}{ 7x^2+10x+8 }$. | 1 |
| 2302 | Subtract polynomials: $ \, \color{blue}{ 10x^3+13x^2-8 } \, $ , $ \, \color{orangered}{ 6x^3-5x^2+13 }$. | 1 |
| 2303 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 2304 | Subtract polynomials: $ \, \color{blue}{ -4x^2-7 } \, $ , $ \, \color{orangered}{ 9x^2+4x }$. | 1 |
| 2305 | Multiply polynomial $ \, \color{blue}{ x^2+4x-7 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2306 | Multiply polynomial $ \, \color{blue}{ x^2+2x-1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2307 | Multiply polynomial $ \, \color{blue}{ x^2+5x-3 } \, $ by $ \, \color{orangered}{ x^2-2 }$. | 1 |
| 2308 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ -10x+350 }$. | 1 |
| 2309 | Multiply polynomial $ \, \color{blue}{ 22x^5-67x^4+5x^3-72x^2+87x-99 } \, $ by $ \, \color{orangered}{ 76x^5+25x^4-30x^3+42x^2-2x+18 }$. | 1 |
| 2310 | Subtract polynomials: $ \, \color{blue}{ 7x^2-2x } \, $ , $ \, \color{orangered}{ 4x+5 }$. | 1 |
| 2311 | Subtract polynomials: $ \, \color{blue}{ 7x^2-2x } \, $ , $ \, \color{orangered}{ -4x+5 }$. | 1 |
| 2312 | Multiply polynomial $ \, \color{blue}{ 16x^2+4x } \, $ by $ \, \color{orangered}{ 4x }$. | 1 |
| 2313 | Multiply polynomial $ \, \color{blue}{ 1-2x } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 2314 | Multiply polynomial $ \, \color{blue}{ 6x^2-3x } \, $ by $ \, \color{orangered}{ 3x }$. | 1 |
| 2315 | Add $ \, \color{blue}{ 3x^2+17x } \, $ and $ \, \color{orangered}{ 12x^2-3x }$. | 1 |
| 2316 | Subtract polynomials: $ \, \color{blue}{ -3x-12 } \, $ , $ \, \color{orangered}{ -9x-6 }$. | 1 |
| 2317 | Add $ \, \color{blue}{ 6x^2+2x-2 } \, $ and $ \, \color{orangered}{ -7x^2+4x+13 }$. | 1 |
| 2318 | Add $ \, \color{blue}{ 6x^2+2x-2 } \, $ and $ \, \color{orangered}{ -7x^2+4x+11 }$. | 1 |
| 2319 | Subtract polynomials: $ \, \color{blue}{ 3x^3+9x+7 } \, $ , $ \, \color{orangered}{ 2x^2+4x+13 }$. | 1 |
| 2320 | Subtract polynomials: $ \, \color{blue}{ 3x^2+9x+7 } \, $ , $ \, \color{orangered}{ 2x^2-4x+13 }$. | 1 |
| 2321 | Subtract polynomials: $ \, \color{blue}{ -14+3x^2+2x } \, $ , $ \, \color{orangered}{ -5x+10-7x^2 }$. | 1 |
| 2322 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ 12x^2+8-1 }$. | 1 |
| 2323 | Add $ \, \color{blue}{ 5x^2+3x-2 } \, $ and $ \, \color{orangered}{ 12x^2+8x-1 }$. | 1 |
| 2324 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ 12x^2+8x-1 }$. | 1 |
| 2325 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ -12x^2-8x+1 }$. | 1 |
| 2326 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ 2x^2+2x+3 }$. | 1 |
| 2327 | Add $ \, \color{blue}{ 5x^2+3x-2 } \, $ and $ \, \color{orangered}{ 7x^2+5x+1 }$. | 1 |
| 2328 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x^3+4x^2-60x+50 }$. | 1 |
| 2329 | Multiply polynomial $ \, \color{blue}{ x^2-10x+25 } \, $ by $ \, \color{orangered}{ 2x+7 }$. | 1 |
| 2330 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2331 | Subtract polynomials: $ \, \color{blue}{ 2x^3-13x^2-20x+175 } \, $ , $ \, \color{orangered}{ 2x^3+4x^2-60x-50 }$. | 1 |
| 2332 | Multiply polynomial $ \, \color{blue}{ 10x^2-32x+6 } \, $ by $ \, \color{orangered}{ 2x }$. | 1 |
| 2333 | Multiply polynomial $ \, \color{blue}{ 7r-7 } \, $ by $ \, \color{orangered}{ 7r-7 }$. | 1 |
| 2334 | Subtract polynomials: $ \, \color{blue}{ -x+3 } \, $ , $ \, \color{orangered}{ -4x^2+2x+5 }$. | 1 |
| 2335 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ 2 }$. | 1 |
| 2336 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^2+x-3 }$. | 1 |
| 2337 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x^3-5 }$. | 1 |
| 2338 | Add $ \, \color{blue}{ 6x^3+2x } \, $ and $ \, \color{orangered}{ 8x^3-9x^2+5 }$. | 1 |
| 2339 | Multiply polynomial $ \, \color{blue}{ 6x^3+2x } \, $ by $ \, \color{orangered}{ 8x^3-9x^2+5 }$. | 1 |
| 2340 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2341 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2342 | Multiply polynomial $ \, \color{blue}{ 3-2x } \, $ by $ \, \color{orangered}{ x }$. | 1 |
| 2343 | Multiply polynomial $ \, \color{blue}{ 3-2x } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2344 | Multiply polynomial $ \, \color{blue}{ 3-x } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2345 | Multiply polynomial $ \, \color{blue}{ 11y+7 } \, $ by $ \, \color{orangered}{ y-2 }$. | 1 |
| 2346 | Multiply polynomial $ \, \color{blue}{ -8x^2+4x-2 } \, $ by $ \, \color{orangered}{ -6x^2-8x-4 }$. | 1 |
| 2347 | Multiply polynomial $ \, \color{blue}{ x^2+x-2 } \, $ by $ \, \color{orangered}{ -7x^2 }$. | 1 |
| 2348 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ -7 }$. | 1 |
| 2349 | Multiply polynomial $ \, \color{blue}{ -7x^2+14x-7 } \, $ by $ \, \color{orangered}{ x-2 }$. | 1 |
| 2350 | Multiply polynomial $ \, \color{blue}{ -7x^2+14x-7 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |