Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
| ID |
Problem |
Count |
| 301 | Add $ \, \color{blue}{ 7a-6a^3+a^2 } \, $ and $ \, \color{orangered}{ 2-3a^2+a }$. | 2 |
| 302 | Add $ \, \color{blue}{ x^5 } \, $ and $ \, \color{orangered}{ x^2 }$. | 2 |
| 303 | Add $ \, \color{blue}{ 1+7r^4-8r } \, $ and $ \, \color{orangered}{ 4r-2r^4-1 }$. | 2 |
| 304 | Add $ \, \color{blue}{ -k-8k^3+5k^4+k^2 } \, $ and $ \, \color{orangered}{ -3k^3+6k^2+3k }$. | 2 |
| 305 | Add $ \, \color{blue}{ -6x^4-3x^3+5+3x^2 } \, $ and $ \, \color{orangered}{ 8x^4+6x^3+4x^2 }$. | 2 |
| 306 | Add $ \, \color{blue}{ 2x^2-3x+5 } \, $ and $ \, \color{orangered}{ 3x+43 }$. | 2 |
| 307 | Multiply polynomial $ \, \color{blue}{ x^2+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 2 |
| 308 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x+5 }$. | 2 |
| 309 | Multiply polynomial $ \, \color{blue}{ x^4+7 } \, $ by $ \, \color{orangered}{ 5x^2+10x-1 }$. | 2 |
| 310 | Subtract polynomials: $ \, \color{blue}{ -7r-4r^3-7r^2 } \, $ , $ \, \color{orangered}{ 4r+7r^3-2r^2 }$. | 2 |
| 311 | Multiply polynomial $ \, \color{blue}{ 2-3x+7x } \, $ by $ \, \color{orangered}{ -x+4x+7-5 }$. | 2 |
| 312 | Subtract polynomials: $ \, \color{blue}{ -3-4x^2-8x^4 } \, $ , $ \, \color{orangered}{ -1+3x^4+8x^2 }$. | 2 |
| 313 | Multiply polynomial $ \, \color{blue}{ 8x^5 } \, $ by $ \, \color{orangered}{ 3x^5 }$. | 2 |
| 314 | Subtract polynomials: $ \, \color{blue}{ 8n^3+6n^2+n-7 } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$. | 2 |
| 315 | Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n } \, $ , $ \, \color{orangered}{ \cancel{8n}-2n^2 -\cancel{8n} }$. | 2 |
| 316 | Subtract polynomials: $ \, \color{blue}{ -4+8n^2-8n^3-2n } \, $ , $ \, \color{orangered}{ 7n^2-4n^3-1 }$. | 2 |
| 317 | Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$. | 2 |
| 318 | Subtract polynomials: $ \, \color{blue}{ -2g^3+4g^2-g-8 } \, $ , $ \, \color{orangered}{ -7g^3+g }$. | 2 |
| 319 | Add $ \, \color{blue}{ 9x+9 } \, $ and $ \, \color{orangered}{ -9x^2-8x+6 }$. | 2 |
| 320 | Multiply polynomial $ \, \color{blue}{ x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x^2-4x+1 }$. | 2 |
| 321 | Add $ \, \color{blue}{ 4+2n^3 } \, $ and $ \, \color{orangered}{ 5n^3+2 }$. | 2 |
| 322 | Subtract polynomials: $ \, \color{blue}{ -4s^4+3s^3 } \, $ , $ \, \color{orangered}{ 2s-3 }$. | 2 |
| 323 | Subtract polynomials: $ \, \color{blue}{ 6q^4-q^3+9q^2+6q+4 } \, $ , $ \, \color{orangered}{ 6q^4+7q^3+2q^2-3q }$. | 2 |
| 324 | Subtract polynomials: $ \, \color{blue}{ x^2+2x+5 } \, $ , $ \, \color{orangered}{ -2x^2+6 }$. | 2 |
| 325 | Add $ \, \color{blue}{ 2x+5 } \, $ and $ \, \color{orangered}{ x+3 }$. | 2 |
| 326 | Add $ \, \color{blue}{ x^2-7x+5 } \, $ and $ \, \color{orangered}{ -3x-x+10 }$. | 2 |
| 327 | Subtract polynomials: $ \, \color{blue}{ 4g^3+6g^2+3g+9 } \, $ , $ \, \color{orangered}{ 3g^3+5g^2+g+1 }$. | 2 |
| 328 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x+6 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 2 |
| 329 | Multiply polynomial $ \, \color{blue}{ 2t+2 } \, $ by $ \, \color{orangered}{ 2t-2 }$. | 2 |
| 330 | Multiply polynomial $ \, \color{blue}{ 3g+4 } \, $ by $ \, \color{orangered}{ 4g-3 }$. | 2 |
| 331 | Multiply polynomial $ \, \color{blue}{ 2x^2-x+4 } \, $ by $ \, \color{orangered}{ 3x^2+x+4 }$. | 2 |
| 332 | Multiply polynomial $ \, \color{blue}{ r^2+r+1 } \, $ by $ \, \color{orangered}{ 3r-4 }$. | 2 |
| 333 | Multiply polynomial $ \, \color{blue}{ d^2-4d+4 } \, $ by $ \, \color{orangered}{ 3d+1 }$. | 2 |
| 334 | Multiply polynomial $ \, \color{blue}{ 2v^2+4v+2 } \, $ by $ \, \color{orangered}{ 2v+4 }$. | 2 |
| 335 | Multiply polynomial $ \, \color{blue}{ 20s^4+380s^3+2480s^2+6480s+5760 } \, $ by $ \, \color{orangered}{ s^5+32s^4+363s^3+2092s^2+5052s+4320 }$. | 2 |
| 336 | Subtract polynomials: $ \, \color{blue}{ 3x+8x^2+7 } \, $ , $ \, \color{orangered}{ 12x^2-3-6x }$. | 2 |
| 337 | Add $ \, \color{blue}{ 4r^2+r^2 } \, $ and $ \, \color{orangered}{ 5r }$. | 2 |
| 338 | Multiply polynomial $ \, \color{blue}{ 4x^3-7x^2-16x+3 } \, $ by $ \, \color{orangered}{ x-3 }$. | 2 |
| 339 | Multiply polynomial $ \, \color{blue}{ 4x^2+12x-9 } \, $ by $ \, \color{orangered}{ x-3 }$. | 2 |
| 340 | Add $ \, \color{blue}{ 2x+15+x+x+15+x-5+x+2x-5 } \, $ and $ \, \color{orangered}{ 0 }$. | 2 |
| 341 | Multiply polynomial $ \, \color{blue}{ s^5+41s^4+613s^3+3975s^2+9450s } \, $ by $ \, \color{orangered}{ s^5+32s^4+363s^3+2092s^2+5052s+4320 }$. | 2 |
| 342 | Subtract polynomials: $ \, \color{blue}{ 2x-8x^2 } \, $ , $ \, \color{orangered}{ 5x^4-3x^2 }$. | 2 |
| 343 | Subtract polynomials: $ \, \color{blue}{ 6x^2+3x-3 } \, $ , $ \, \color{orangered}{ 2x-2 }$. | 2 |
| 344 | Add $ \, \color{blue}{ -2x^2+10x^4+x^3 } \, $ and $ \, \color{orangered}{ 4x^3+3x^4+8x^2 }$. | 2 |
| 345 | Add $ \, \color{blue}{ 6m^5+1 } \, $ and $ \, \color{orangered}{ 2m^5+9m-1 }$. | 2 |
| 346 | Multiply polynomial $ \, \color{blue}{ 3x^2-7x+5 } \, $ by $ \, \color{orangered}{ x^2-4x }$. | 2 |
| 347 | Subtract polynomials: $ \, \color{blue}{ 4x^3+5 } \, $ , $ \, \color{orangered}{ 7-2x^3 }$. | 2 |
| 348 | Subtract polynomials: $ \, \color{blue}{ 4x^4-2x } \, $ , $ \, \color{orangered}{ 6x-2x^4 }$. | 2 |
| 349 | Add $ \, \color{blue}{ 8x^3+26x^2+13x-21 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 350 | Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
