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 |
| 251 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x } \, $ by $ \, \color{orangered}{ 7x^2-2x }$. | 4 |
| 252 | Add $ \, \color{blue}{ 3x^5+1 } \, $ and $ \, \color{orangered}{ 9x^5+3x-2 }$. | 4 |
| 253 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+1 }$. | 4 |
| 254 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x+4 } \, $ by $ \, \color{orangered}{ 3x^2-4x-3 }$. | 4 |
| 255 | Multiply polynomial $ \, \color{blue}{ 20s^4+380s^3+2480s^2+6480s+5760 } \, $ by $ \, \color{orangered}{ s^4+17s^3+99s^2+223s+140 }$. | 4 |
| 256 | Add $ \, \color{blue}{ 7x+3 } \, $ and $ \, \color{orangered}{ -x^2-5x+8 }$. | 4 |
| 257 | Multiply polynomial $ \, \color{blue}{ x-x^5 } \, $ by $ \, \color{orangered}{ x-x^8 }$. | 4 |
| 258 | Multiply polynomial $ \, \color{blue}{ x^50x^40x^3-4x^20x-6 } \, $ by $ \, \color{orangered}{ x-2 }$. | 4 |
| 259 | Subtract polynomials: $ \, \color{blue}{ \cancel{2x} -\cancel{2x}-1 } \, $ , $ \, \color{orangered}{ 4x+4x-6 }$. | 4 |
| 260 | Add $ \, \color{blue}{ 3x^2+7x-5 } \, $ and $ \, \color{orangered}{ 5x^2-4x+11 }$. | 4 |
| 261 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^3-2x^2 }$. | 4 |
| 262 | Add $ \, \color{blue}{ 4+3x^2+8x^3 } \, $ and $ \, \color{orangered}{ -7x^3+12x^5+6x^2 }$. | 4 |
| 263 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 4 |
| 264 | Add $ \, \color{blue}{ -6x-3 } \, $ and $ \, \color{orangered}{ 3x-9 }$. | 4 |
| 265 | Add $ \, \color{blue}{ 4x-5 } \, $ and $ \, \color{orangered}{ 2x-7 }$. | 4 |
| 266 | Subtract polynomials: $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ , $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 4 |
| 267 | Multiply polynomial $ \, \color{blue}{ x^3+3x^2-6x-8 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 4 |
| 268 | Subtract polynomials: $ \, \color{blue}{ 4x+3x^2-1 } \, $ , $ \, \color{orangered}{ -7x+2+6x^2 }$. | 4 |
| 269 | Subtract polynomials: $ \, \color{blue}{ 2x^2-3x } \, $ , $ \, \color{orangered}{ -3x^2+5x-30 }$. | 4 |
| 270 | Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-9 } \, $ , $ \, \color{orangered}{ -2x^2+4x-1 }$. | 4 |
| 271 | Multiply polynomial $ \, \color{blue}{ 3x^7 } \, $ by $ \, \color{orangered}{ 5x^4 }$. | 4 |
| 272 | Subtract polynomials: $ \, \color{blue}{ x-7 } \, $ , $ \, \color{orangered}{ 7x+5 }$. | 4 |
| 273 | Subtract polynomials: $ \, \color{blue}{ 9x^3+5x^2-x-9 } \, $ , $ \, \color{orangered}{ x^2-9x+4 }$. | 4 |
| 274 | Subtract polynomials: $ \, \color{blue}{ 7x^2+5x+1 } \, $ , $ \, \color{orangered}{ 5x^2+3x-2 }$. | 4 |
| 275 | Subtract polynomials: $ \, \color{blue}{ -3x^2-9x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 4 |
| 276 | Multiply polynomial $ \, \color{blue}{ 2740 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 4 |
| 277 | Subtract polynomials: $ \, \color{blue}{ 3x^2 } \, $ , $ \, \color{orangered}{ 2x+4 }$. | 3 |
| 278 | Subtract polynomials: $ \, \color{blue}{ x^2+3x-7 } \, $ , $ \, \color{orangered}{ x+5 }$. | 3 |
| 279 | Multiply polynomial $ \, \color{blue}{ 5x-10x^2-6x+x^2+4x-6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 280 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 281 | Multiply polynomial $ \, \color{blue}{ 4x^2-24x+36 } \, $ by $ \, \color{orangered}{ x }$. | 3 |
| 282 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ x^2-3x+5 }$. | 3 |
| 283 | Subtract polynomials: $ \, \color{blue}{ 9x+5 } \, $ , $ \, \color{orangered}{ 3x-3 }$. | 3 |
| 284 | Multiply polynomial $ \, \color{blue}{ 7 } \, $ by $ \, \color{orangered}{ -8x+4 }$. | 3 |
| 285 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+7 }$. | 3 |
| 286 | Subtract polynomials: $ \, \color{blue}{ -2x^2+5x+10 } \, $ , $ \, \color{orangered}{ -7x-3 }$. | 3 |
| 287 | Multiply polynomial $ \, \color{blue}{ -4x+5 } \, $ by $ \, \color{orangered}{ 3x^2-2x-1 }$. | 3 |
| 288 | Subtract polynomials: $ \, \color{blue}{ 16x+9x+8x+2 } \, $ , $ \, \color{orangered}{ 8x+9x }$. | 3 |
| 289 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x+3 }$. | 3 |
| 290 | Add $ \, \color{blue}{ 8x^5+3x^3-8x } \, $ and $ \, \color{orangered}{ -2x^5+2x^3 }$. | 3 |
| 291 | Subtract polynomials: $ \, \color{blue}{ 10-5x-4x^2 } \, $ , $ \, \color{orangered}{ x-7 }$. | 3 |
| 292 | Add $ \, \color{blue}{ 3x^3-5x^2+4x-7 } \, $ and $ \, \color{orangered}{ x^2+4x-21 }$. | 3 |
| 293 | Multiply polynomial $ \, \color{blue}{ x^2+4x-21 } \, $ by $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 294 | Subtract polynomials: $ \, \color{blue}{ 10x+10 } \, $ , $ \, \color{orangered}{ 7x^2+5x-8 }$. | 3 |
| 295 | Add $ \, \color{blue}{ x^2+4x-21 } \, $ and $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 296 | Add $ \, \color{blue}{ -12x+x-6 } \, $ and $ \, \color{orangered}{ 8x-6x-4 }$. | 3 |
| 297 | Subtract polynomials: $ \, \color{blue}{ -10x^2+2x-10 } \, $ , $ \, \color{orangered}{ -10x^2+3 }$. | 3 |
| 298 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ 8x-6x-4 }$. | 3 |
| 299 | Subtract polynomials: $ \, \color{blue}{ -12x+x-6 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 300 | Multiply polynomial $ \, \color{blue}{ 5x-8 } \, $ by $ \, \color{orangered}{ 2x-5 }$. | 3 |
