Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
ID |
Problem |
Count |
201 | Add $ \, \color{blue}{ 9x-5 } \, $ and $ \, \color{orangered}{ 7x^2+9x+2 }$. | 3 |
202 | Add $ \, \color{blue}{ 8x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
203 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-x+3 }$. | 3 |
204 | Subtract polynomials: $ \, \color{blue}{ 7x+3 } \, $ , $ \, \color{orangered}{ -x^2-5x+8 }$. | 3 |
205 | Multiply polynomial $ \, \color{blue}{ 7x+3 } \, $ by $ \, \color{orangered}{ -x^2-5x+8 }$. | 3 |
206 | Add $ \, \color{blue}{ 3w-1 } \, $ and $ \, \color{orangered}{ 9w^2-3w+4 }$. | 3 |
207 | Multiply polynomial $ \, \color{blue}{ x^2-3x-54 } \, $ by $ \, \color{orangered}{ x+6 }$. | 3 |
208 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x+2 }$. | 3 |
209 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ 3x+3 }$. | 3 |
210 | Multiply polynomial $ \, \color{blue}{ 2b^2+5 } \, $ by $ \, \color{orangered}{ 2b^3-2b-3 }$. | 3 |
211 | Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-5-8x^2 }$. | 3 |
212 | Multiply polynomial $ \, \color{blue}{ -2x^3-3x^2-15x-30 } \, $ by $ \, \color{orangered}{ x^3-3x-3 }$. | 3 |
213 | Add $ \, \color{blue}{ x^3+8 } \, $ and $ \, \color{orangered}{ x-2 }$. | 3 |
214 | Subtract polynomials: $ \, \color{blue}{ 3x^2-2x+4 } \, $ , $ \, \color{orangered}{ -3x^2+6x-10 }$. | 3 |
215 | Add $ \, \color{blue}{ 7 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 3 |
216 | Add $ \, \color{blue}{ 3x^4-5x+2 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$. | 3 |
217 | Subtract polynomials: $ \, \color{blue}{ -x^2+x-4 } \, $ , $ \, \color{orangered}{ 3x^2-8x-2 }$. | 3 |
218 | Multiply polynomial $ \, \color{blue}{ a^2+3 } \, $ by $ \, \color{orangered}{ a+3 }$. | 3 |
219 | Multiply polynomial $ \, \color{blue}{ 5x^6+2x^5-4x^4+ \cancel{3x^3}+6x^2-x+7 -\cancel{3x^3}+2x^2+4x-2 } \, $ by $ \, \color{orangered}{ 4x^3 }$. | 3 |
220 | Multiply polynomial $ \, \color{blue}{ -3x-2 } \, $ by $ \, \color{orangered}{ -5x^2 }$. | 3 |
221 | Add $ \, \color{blue}{ -8+a^2-3a^4 } \, $ and $ \, \color{orangered}{ -4a^2-4a-2a^4 }$. | 2 |
222 | Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 2 |
223 | Add $ \, \color{blue}{ 5x^2+3x-8 } \, $ and $ \, \color{orangered}{ 2x^2+9x-7 }$. | 2 |
224 | Add $ \, \color{blue}{ 5x^2+3x-8 } \, $ and $ \, \color{orangered}{ 2x^2-9x-7 }$. | 2 |
225 | Add $ \, \color{blue}{ 7x^2+8x-5 } \, $ and $ \, \color{orangered}{ 3x^2-4x-7 }$. | 2 |
226 | Add $ \, \color{blue}{ 3x+1 } \, $ and $ \, \color{orangered}{ 2x+4 }$. | 2 |
227 | Add $ \, \color{blue}{ 5x^2-2x+6 } \, $ and $ \, \color{orangered}{ x^2+3x-9 }$. | 2 |
228 | Add $ \, \color{blue}{ 12x^2-7 } \, $ and $ \, \color{orangered}{ x^2-5x-3 }$. | 2 |
229 | Subtract polynomials: $ \, \color{blue}{ 4x^2+9x-6 } \, $ , $ \, \color{orangered}{ 6x^2-7x+7 }$. | 2 |
230 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x^2+x-1 }$. | 2 |
231 | Subtract polynomials: $ \, \color{blue}{ 7x^2-9x+7 } \, $ , $ \, \color{orangered}{ 8x^2-6x-9 }$. | 2 |
232 | Multiply polynomial $ \, \color{blue}{ 4x-6 } \, $ by $ \, \color{orangered}{ x^2+3x+6 }$. | 2 |
233 | Multiply polynomial $ \, \color{blue}{ -18x-4x-1 } \, $ by $ \, \color{orangered}{ 5x+10 }$. | 2 |
234 | Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ 6x^2+3x-9 }$. | 2 |
235 | Add $ \, \color{blue}{ x+5 } \, $ and $ \, \color{orangered}{ x-2 }$. | 2 |
236 | Subtract polynomials: $ \, \color{blue}{ -x^2+4x-9 } \, $ , $ \, \color{orangered}{ -6x^2+3x-9 }$. | 2 |
237 | Multiply polynomial $ \, \color{blue}{ c+4 } \, $ by $ \, \color{orangered}{ c+4 }$. | 2 |
238 | Subtract polynomials: $ \, \color{blue}{ -8x+7x-8 } \, $ , $ \, \color{orangered}{ 1820x+3x+9 }$. | 2 |
239 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-3 } \, $ by $ \, \color{orangered}{ 8x+5 }$. | 2 |
240 | Add $ \, \color{blue}{ 4w+5-7w^2 } \, $ and $ \, \color{orangered}{ 3w^2-14 }$. | 2 |
241 | Multiply polynomial $ \, \color{blue}{ 5x^2-6x-3 } \, $ by $ \, \color{orangered}{ 3x^2+7x+2 }$. | 2 |
242 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
243 | Multiply polynomial $ \, \color{blue}{ 2x+8 } \, $ by $ \, \color{orangered}{ 5x-13 }$. | 2 |
244 | Multiply polynomial $ \, \color{blue}{ 2x^3 } \, $ by $ \, \color{orangered}{ 2x }$. | 2 |
245 | Subtract polynomials: $ \, \color{blue}{ b+4b^2-3 } \, $ , $ \, \color{orangered}{ -2b^2+2b^3-9 }$. | 2 |
246 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x^2+3x+9 }$. | 2 |
247 | Multiply polynomial $ \, \color{blue}{ m+5 } \, $ by $ \, \color{orangered}{ m+5 }$. | 2 |
248 | Subtract polynomials: $ \, \color{blue}{ x^3+x^2+3x-5 } \, $ , $ \, \color{orangered}{ x^2-x+2 }$. | 2 |
249 | Multiply polynomial $ \, \color{blue}{ x-7 } \, $ by $ \, \color{orangered}{ x-7 }$. | 2 |
250 | Multiply polynomial $ \, \color{blue}{ x^3+x^2+3x-5 } \, $ by $ \, \color{orangered}{ x^2-x+2 }$. | 2 |