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 | Add $ \, \color{blue}{ 3x^2+7x-5 } \, $ and $ \, \color{orangered}{ 5x^2-4x+11 }$. | 4 |
| 252 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^3-2x^2 }$. | 4 |
| 253 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 4 |
| 254 | Add $ \, \color{blue}{ -6x-3 } \, $ and $ \, \color{orangered}{ 3x-9 }$. | 4 |
| 255 | Subtract polynomials: $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ , $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 4 |
| 256 | Multiply polynomial $ \, \color{blue}{ x^3+3x^2-6x-8 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 4 |
| 257 | Subtract polynomials: $ \, \color{blue}{ 4x+3x^2-1 } \, $ , $ \, \color{orangered}{ -7x+2+6x^2 }$. | 4 |
| 258 | Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-9 } \, $ , $ \, \color{orangered}{ -2x^2+4x-1 }$. | 4 |
| 259 | Subtract polynomials: $ \, \color{blue}{ 2x^2-3x } \, $ , $ \, \color{orangered}{ -3x^2+5x-30 }$. | 4 |
| 260 | Multiply polynomial $ \, \color{blue}{ 3x^7 } \, $ by $ \, \color{orangered}{ 5x^4 }$. | 4 |
| 261 | Subtract polynomials: $ \, \color{blue}{ -3x^2-9x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 4 |
| 262 | Subtract polynomials: $ \, \color{blue}{ x-7 } \, $ , $ \, \color{orangered}{ 7x+5 }$. | 4 |
| 263 | Subtract polynomials: $ \, \color{blue}{ 9x^3+5x^2-x-9 } \, $ , $ \, \color{orangered}{ x^2-9x+4 }$. | 4 |
| 264 | Subtract polynomials: $ \, \color{blue}{ 7x^2+5x+1 } \, $ , $ \, \color{orangered}{ 5x^2+3x-2 }$. | 4 |
| 265 | Multiply polynomial $ \, \color{blue}{ 2740 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 4 |
| 266 | Subtract polynomials: $ \, \color{blue}{ 16x+9x+8x+2 } \, $ , $ \, \color{orangered}{ 8x+9x }$. | 3 |
| 267 | Multiply polynomial $ \, \color{blue}{ 4x^2-24x+36 } \, $ by $ \, \color{orangered}{ x }$. | 3 |
| 268 | Subtract polynomials: $ \, \color{blue}{ 3x^2 } \, $ , $ \, \color{orangered}{ 2x+4 }$. | 3 |
| 269 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+7 }$. | 3 |
| 270 | Multiply polynomial $ \, \color{blue}{ 5x-10x^2-6x+x^2+4x-6 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 271 | Subtract polynomials: $ \, \color{blue}{ x^2+3x-7 } \, $ , $ \, \color{orangered}{ x+5 }$. | 3 |
| 272 | Multiply polynomial $ \, \color{blue}{ 7 } \, $ by $ \, \color{orangered}{ -8x+4 }$. | 3 |
| 273 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x+3 }$. | 3 |
| 274 | Subtract polynomials: $ \, \color{blue}{ -2x^2+5x+10 } \, $ , $ \, \color{orangered}{ -7x-3 }$. | 3 |
| 275 | Multiply polynomial $ \, \color{blue}{ -4x+5 } \, $ by $ \, \color{orangered}{ 3x^2-2x-1 }$. | 3 |
| 276 | Add $ \, \color{blue}{ 8x^5+3x^3-8x } \, $ and $ \, \color{orangered}{ -2x^5+2x^3 }$. | 3 |
| 277 | Subtract polynomials: $ \, \color{blue}{ 10x+10 } \, $ , $ \, \color{orangered}{ 7x^2+5x-8 }$. | 3 |
| 278 | Subtract polynomials: $ \, \color{blue}{ -10x^2+2x-10 } \, $ , $ \, \color{orangered}{ -10x^2+3 }$. | 3 |
| 279 | Add $ \, \color{blue}{ -12x+x-6 } \, $ and $ \, \color{orangered}{ 8x-6x-4 }$. | 3 |
| 280 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ 8x-6x-4 }$. | 3 |
| 281 | Subtract polynomials: $ \, \color{blue}{ -12x+x-6 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 282 | Multiply polynomial $ \, \color{blue}{ 5x-8 } \, $ by $ \, \color{orangered}{ 2x-5 }$. | 3 |
| 283 | Add $ \, \color{blue}{ 3x^3+5x } \, $ and $ \, \color{orangered}{ 2x^3-2x }$. | 3 |
| 284 | Multiply polynomial $ \, \color{blue}{ 3x^3+5x } \, $ by $ \, \color{orangered}{ 2x^3-2x }$. | 3 |
| 285 | Subtract polynomials: $ \, \color{blue}{ 7x^4+9x^3-9 } \, $ , $ \, \color{orangered}{ 3x^2-4x+7 }$. | 3 |
| 286 | Subtract polynomials: $ \, \color{blue}{ 10-5x-4x^2 } \, $ , $ \, \color{orangered}{ x-7 }$. | 3 |
| 287 | Add $ \, \color{blue}{ 10p^4+11 } \, $ and $ \, \color{orangered}{ 11p^4+13+16p^2 }$. | 3 |
| 288 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ 3x-3 }$. | 3 |
| 289 | Add $ \, \color{blue}{ 3x^3-5x^2+4x-7 } \, $ and $ \, \color{orangered}{ x^2+4x-21 }$. | 3 |
| 290 | Multiply polynomial $ \, \color{blue}{ x^2+4x-21 } \, $ by $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 291 | Add $ \, \color{blue}{ x^2+4x-21 } \, $ and $ \, \color{orangered}{ 10-5x-4x^2 }$. | 3 |
| 292 | Multiply polynomial $ \, \color{blue}{ -2x-2x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 3 |
| 293 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -x^2-3x+1 }$. | 3 |
| 294 | Multiply polynomial $ \, \color{blue}{ 2x-6 } \, $ by $ \, \color{orangered}{ x+4 }$. | 3 |
| 295 | Multiply polynomial $ \, \color{blue}{ 4r-6 } \, $ by $ \, \color{orangered}{ 4r+6 }$. | 3 |
| 296 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ 3x^2+7x-5 }$. | 3 |
| 297 | Add $ \, \color{blue}{ 3x^2-5+x } \, $ and $ \, \color{orangered}{ 8x^2+4-3x^2 }$. | 3 |
| 298 | Multiply polynomial $ \, \color{blue}{ 7x^3-6x^2+8 } \, $ by $ \, \color{orangered}{ 8x^3+8x^2+16 }$. | 3 |
| 299 | Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ 5+3x-4x^2 }$. | 3 |
| 300 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 3x^4+4x }$. | 3 |
