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 |
| 2201 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2202 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-4 } \, $ by $ \, \color{orangered}{ x+5 }$. | 1 |
| 2203 | Multiply polynomial $ \, \color{blue}{ x^2+x-6 } \, $ by $ \, \color{orangered}{ x^2-6x+9 }$. | 1 |
| 2204 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ x-13x^2+x-4 }$. | 1 |
| 2205 | Subtract polynomials: $ \, \color{blue}{ 3x^2-10x-2 } \, $ , $ \, \color{orangered}{ 6x+3 }$. | 1 |
| 2206 | Add $ \, \color{blue}{ -3x+9 } \, $ and $ \, \color{orangered}{ 7x^2-2x+1 }$. | 1 |
| 2207 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x^2-5x+4 }$. | 1 |
| 2208 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 3x^2-3x-1 }$. | 1 |
| 2209 | Multiply polynomial $ \, \color{blue}{ -4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-x-1 }$. | 1 |
| 2210 | Multiply polynomial $ \, \color{blue}{ 3x+1 } \, $ by $ \, \color{orangered}{ 3x^2-10x-3 }$. | 1 |
| 2211 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ x^2-6x+1 }$. | 1 |
| 2212 | Multiply polynomial $ \, \color{blue}{ 4x^2+x+2 } \, $ by $ \, \color{orangered}{ -3x^2+4x-1 }$. | 1 |
| 2213 | Add $ \, \color{blue}{ 30 } \, $ and $ \, \color{orangered}{ 100x^2 }$. | 1 |
| 2214 | Add $ \, \color{blue}{ 8a+1 } \, $ and $ \, \color{orangered}{ 4-7a^3-5a }$. | 1 |
| 2215 | Subtract polynomials: $ \, \color{blue}{ 4y+5y^2-6 } \, $ , $ \, \color{orangered}{ 5y+27-y^2 }$. | 1 |
| 2216 | Add $ \, \color{blue}{ 4x^3+6x-7 } \, $ and $ \, \color{orangered}{ 3x^3-5x^2-5x }$. | 1 |
| 2217 | Multiply polynomial $ \, \color{blue}{ x+10 } \, $ by $ \, \color{orangered}{ 3x^2-3x+2 }$. | 1 |
| 2218 | Multiply polynomial $ \, \color{blue}{ 6x^3 } \, $ by $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 2219 | Subtract polynomials: $ \, \color{blue}{ 6x^3 } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 1 |
| 2220 | Subtract polynomials: $ \, \color{blue}{ 5x+8 } \, $ , $ \, \color{orangered}{ 2x^2+6x-3 }$. | 1 |
| 2221 | Add $ \, \color{blue}{ 5x^3-9x^2-42x-9 } \, $ and $ \, \color{orangered}{ x-4 }$. | 1 |
| 2222 | Multiply polynomial $ \, \color{blue}{ 3x-8x+x+6 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2223 | Multiply polynomial $ \, \color{blue}{ x^3-4x^2+x+6 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2224 | Subtract polynomials: $ \, \color{blue}{ 3y+4 } \, $ , $ \, \color{orangered}{ 3y-4 }$. | 1 |
| 2225 | Subtract polynomials: $ \, \color{blue}{ x^3-2x+3 } \, $ , $ \, \color{orangered}{ 3x^2+4x-3 }$. | 1 |
| 2226 | Subtract polynomials: $ \, \color{blue}{ 3x^2+4x-3 } \, $ , $ \, \color{orangered}{ x^2-2x+3 }$. | 1 |
| 2227 | Multiply polynomial $ \, \color{blue}{ 9-64x^2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2228 | Multiply polynomial $ \, \color{blue}{ 2x^2-5x } \, $ by $ \, \color{orangered}{ 3x^2+9x+3 }$. | 1 |
| 2229 | Add $ \, \color{blue}{ 4x^3+2x+2x^2-8 } \, $ and $ \, \color{orangered}{ 2x^3+x^2+9 }$. | 1 |
| 2230 | Multiply polynomial $ \, \color{blue}{ 6x^2-5 } \, $ by $ \, \color{orangered}{ 6x^2-5 }$. | 1 |
| 2231 | Multiply polynomial $ \, \color{blue}{ 6x+5 } \, $ by $ \, \color{orangered}{ 6x+5 }$. | 1 |
| 2232 | Multiply polynomial $ \, \color{blue}{ 2x^2+5x } \, $ by $ \, \color{orangered}{ 2x^2-5x }$. | 1 |
| 2233 | Multiply polynomial $ \, \color{blue}{ x+12 } \, $ by $ \, \color{orangered}{ x+12 }$. | 1 |
| 2234 | Multiply polynomial $ \, \color{blue}{ 7x+5 } \, $ by $ \, \color{orangered}{ 7x-5 }$. | 1 |
| 2235 | Multiply polynomial $ \, \color{blue}{ 5x^2-6 } \, $ by $ \, \color{orangered}{ 3x^2-7 }$. | 1 |
| 2236 | Multiply polynomial $ \, \color{blue}{ 9x-2 } \, $ by $ \, \color{orangered}{ 3x+2 }$. | 1 |
| 2237 | Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2+10 }$. | 1 |
| 2238 | Multiply polynomial $ \, \color{blue}{ -x^2+9 } \, $ by $ \, \color{orangered}{ -3x^2-11x+4 }$. | 1 |
| 2239 | Subtract polynomials: $ \, \color{blue}{ 3x^3-2x^2+4x-8 } \, $ , $ \, \color{orangered}{ 5x^3+12x^2-3x-4 }$. | 1 |
| 2240 | Add $ \, \color{blue}{ 4x^3-x^2-8x+3 } \, $ and $ \, \color{orangered}{ x^3+9x^2-4x }$. | 1 |
| 2241 | Add $ \, \color{blue}{ 5x^3-13x^2-7 } \, $ and $ \, \color{orangered}{ 16x^3+8x^2-x+15 }$. | 1 |
| 2242 | Multiply polynomial $ \, \color{blue}{ -5x } \, $ by $ \, \color{orangered}{ -6x^2+1 }$. | 1 |
| 2243 | Add $ \, \color{blue}{ -3a^3+2a^2-4 } \, $ and $ \, \color{orangered}{ a^3-3a^2-5a+7 }$. | 1 |
| 2244 | Subtract polynomials: $ \, \color{blue}{ -4x^6+3x^3+20 } \, $ , $ \, \color{orangered}{ 17x^6+12x^5-6x^4 }$. | 1 |
| 2245 | Subtract polynomials: $ \, \color{blue}{ 2x^2-6x-5-9x^2+5x-4 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2246 | Multiply polynomial $ \, \color{blue}{ 2x^2-3 } \, $ by $ \, \color{orangered}{ x^2-3x+5 }$. | 1 |
| 2247 | Add $ \, \color{blue}{ 4x+3 } \, $ and $ \, \color{orangered}{ x-2 }$. | 1 |
| 2248 | Add $ \, \color{blue}{ x-3 } \, $ and $ \, \color{orangered}{ x^2-9 }$. | 1 |
| 2249 | Add $ \, \color{blue}{ x^2+2x } \, $ and $ \, \color{orangered}{ -2x }$. | 1 |
| 2250 | Add $ \, \color{blue}{ x^2+5x+4 } \, $ and $ \, \color{orangered}{ x+1 }$. | 1 |
