Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
251 | Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ 7x+3+8x^2 }$. | 2 |
252 | Subtract polynomials: $ \, \color{blue}{ x^3-x^2+3x-5 } \, $ , $ \, \color{orangered}{ x^2-x+2 }$. | 2 |
253 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ -7x-8 }$. | 2 |
254 | Multiply polynomial $ \, \color{blue}{ -3y+y^2-8+5y^3 } \, $ by $ \, \color{orangered}{ 7y^2+4y-2y^3 }$. | 2 |
255 | Subtract polynomials: $ \, \color{blue}{ 4x+5x^2-1 } \, $ , $ \, \color{orangered}{ -7x+3+8x^2 }$. | 2 |
256 | Add $ \, \color{blue}{ 4x^2-10x } \, $ and $ \, \color{orangered}{ 2x^2+5x-5 }$. | 2 |
257 | Multiply polynomial $ \, \color{blue}{ x^2+10x-25 } \, $ by $ \, \color{orangered}{ x^2+x-42 }$. | 2 |
258 | Add $ \, \color{blue}{ 5v^3 } \, $ and $ \, \color{orangered}{ 6v-8 }$. | 2 |
259 | Add $ \, \color{blue}{ 6x+10 } \, $ and $ \, \color{orangered}{ -7x-2-9x }$. | 2 |
260 | Subtract polynomials: $ \, \color{blue}{ 15x^3-3x^2-1 } \, $ , $ \, \color{orangered}{ 10x^3-4x^2+14 }$. | 2 |
261 | Add $ \, \color{blue}{ 3x^2+10 } \, $ and $ \, \color{orangered}{ -7x^2-9x }$. | 2 |
262 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x^3+2x }$. | 2 |
263 | Add $ \, \color{blue}{ 9a+4a^2-6 } \, $ and $ \, \color{orangered}{ a^2+2a^2-7 }$. | 2 |
264 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 2 |
265 | Multiply polynomial $ \, \color{blue}{ x^2-2x-4 } \, $ by $ \, \color{orangered}{ x^2-2x-4 }$. | 2 |
266 | Subtract polynomials: $ \, \color{blue}{ 4x-3 } \, $ , $ \, \color{orangered}{ x^3+2x }$. | 2 |
267 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 2 |
268 | Multiply polynomial $ \, \color{blue}{ x^2+5x+5x-25 } \, $ by $ \, \color{orangered}{ x^2+7x-42-6x }$. | 2 |
269 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 2 |
270 | Multiply polynomial $ \, \color{blue}{ 2x^2+5x-9 } \, $ by $ \, \color{orangered}{ 3x-17 }$. | 2 |
271 | Add $ \, \color{blue}{ 9x^2+6 } \, $ and $ \, \color{orangered}{ 2x^2-x-10 }$. | 2 |
272 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ -2x-5 }$. | 2 |
273 | Add $ \, \color{blue}{ -3x+9 } \, $ and $ \, \color{orangered}{ 7x^2-2x+1 }$. | 2 |
274 | Subtract polynomials: $ \, \color{blue}{ -10x^2+4x } \, $ , $ \, \color{orangered}{ -4x^2+6x+8 }$. | 2 |
275 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 3+4x }$. | 2 |
276 | Multiply polynomial $ \, \color{blue}{ -x+1 } \, $ by $ \, \color{orangered}{ 8x+3 }$. | 2 |
277 | Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ -2 }$. | 2 |
278 | Multiply polynomial $ \, \color{blue}{ 3x+7 } \, $ by $ \, \color{orangered}{ 5x-2 }$. | 2 |
279 | Add $ \, \color{blue}{ 3x+1 } \, $ and $ \, \color{orangered}{ 2x-3 }$. | 2 |
280 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 2 |
281 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ x^3+x^2-1 }$. | 2 |
282 | Subtract polynomials: $ \, \color{blue}{ -x^2-3x+4 } \, $ , $ \, \color{orangered}{ x^2+2x+5 }$. | 2 |
283 | Multiply polynomial $ \, \color{blue}{ x^2 } \, $ by $ \, \color{orangered}{ x^3+x^2-1 }$. | 2 |
284 | Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
285 | Subtract polynomials: $ \, \color{blue}{ x^2+2 } \, $ , $ \, \color{orangered}{ x-22 }$. | 2 |
286 | Add $ \, \color{blue}{ 3x^2-6 } \, $ and $ \, \color{orangered}{ -x+1 }$. | 2 |
287 | Multiply polynomial $ \, \color{blue}{ 16i^2-16i+16 } \, $ by $ \, \color{orangered}{ 4-4i }$. | 2 |
288 | Multiply polynomial $ \, \color{blue}{ 16-16i+16i^2 } \, $ by $ \, \color{orangered}{ 16-16i+16i^2 }$. | 2 |
289 | Add $ \, \color{blue}{ 14x-2x^2-11 } \, $ and $ \, \color{orangered}{ -2x^2-5x-7 }$. | 2 |
290 | Add $ \, \color{blue}{ 2x+3x^3+1 } \, $ and $ \, \color{orangered}{ 2+3x^2+x }$. | 2 |
291 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x-7 } \, $ by $ \, \color{orangered}{ 5x^2+2x-7 }$. | 2 |
292 | Multiply polynomial $ \, \color{blue}{ 7x^2+8x+2 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 2 |
293 | Add $ \, \color{blue}{ x^3-9x } \, $ and $ \, \color{orangered}{ 3x^2+2x }$. | 2 |
294 | Add $ \, \color{blue}{ x^2+3 } \, $ and $ \, \color{orangered}{ 2x^2+2x+1 }$. | 2 |
295 | Add $ \, \color{blue}{ -x^4+x^3 } \, $ and $ \, \color{orangered}{ x^4-x^2-x+1 }$. | 2 |
296 | Add $ \, \color{blue}{ 2x^2+3 } \, $ and $ \, \color{orangered}{ 4x-1 }$. | 2 |
297 | Subtract polynomials: $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ , $ \, \color{orangered}{ -s^6-9s^5-8s^4-9s^3-12s^2-15s-20 }$. | 2 |
298 | Add $ \, \color{blue}{ 8+5x^2+x } \, $ and $ \, \color{orangered}{ 2+6x^2 }$. | 2 |
299 | Add $ \, \color{blue}{ x^3-x^2-x+1 } \, $ and $ \, \color{orangered}{ x^2+x }$. | 2 |
300 | Add $ \, \color{blue}{ x-7 } \, $ and $ \, \color{orangered}{ x^2-x-3 }$. | 2 |