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}{ 6x^3+16x^2+16x+11 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x }$. | 1 |
| 2202 | Multiply polynomial $ \, \color{blue}{ 9x^3+4x^2+6x+3 } \, $ by $ \, \color{orangered}{ -x^3-x }$. | 1 |
| 2203 | Add $ \, \color{blue}{ -6x^6-22x^5-26x^4-11x^3+5x^2+11x } \, $ and $ \, \color{orangered}{ -9x^6-4x^5-15x^4+7x^3-6x^2-3x }$. | 1 |
| 2204 | Add $ \, \color{blue}{ -6x^6-22x^5-26x^4-11x^3+5x^2+11x } \, $ and $ \, \color{orangered}{ -9x^6-4x^5-15x^4-7x^3-6x^2-3x }$. | 1 |
| 2205 | Add $ \, \color{blue}{ -15x^6-26x^5-41x^4-18x^3-x^2+8x } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 2206 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 2207 | Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x }$. | 1 |
| 2208 | Subtract polynomials: $ \, \color{blue}{ x+7 } \, $ , $ \, \color{orangered}{ 8x^2-x-1 }$. | 1 |
| 2209 | Add $ \, \color{blue}{ 5x^3-5x-1 } \, $ and $ \, \color{orangered}{ 5x+6 }$. | 1 |
| 2210 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x+4 } \, $ , $ \, \color{orangered}{ 3x^2-4x-3 }$. | 1 |
| 2211 | Add $ \, \color{blue}{ x^2-2x-8 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2212 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2213 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2214 | Multiply polynomial $ \, \color{blue}{ x^2-2x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 1 |
| 2215 | Multiply polynomial $ \, \color{blue}{ 2x^2+3x-6 } \, $ by $ \, \color{orangered}{ -5x^2-2x+4 }$. | 1 |
| 2216 | Multiply polynomial $ \, \color{blue}{ 2x-3 } \, $ by $ \, \color{orangered}{ 2x-3 }$. | 1 |
| 2217 | Add $ \, \color{blue}{ 6x^2+3x-3 } \, $ and $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 2218 | Multiply polynomial $ \, \color{blue}{ x^4+5x^3 } \, $ by $ \, \color{orangered}{ 5x^4-4x^3-5x^2 }$. | 1 |
| 2219 | Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2x^2+9x }$. | 1 |
| 2220 | Multiply polynomial $ \, \color{blue}{ 20+10 } \, $ by $ \, \color{orangered}{ 3+7 }$. | 1 |
| 2221 | Add $ \, \color{blue}{ 14x+3x+7 } \, $ and $ \, \color{orangered}{ 12x+7x }$. | 1 |
| 2222 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 7x }$. | 1 |
| 2223 | Subtract polynomials: $ \, \color{blue}{ x } \, $ , $ \, \color{orangered}{ 7x }$. | 1 |
| 2224 | Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 7x }$. | 1 |
| 2225 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ -x^3+x^2 }$. | 1 |
| 2226 | Add $ \, \color{blue}{ -x^4+x^2 } \, $ and $ \, \color{orangered}{ x^5+x^4-x^2 }$. | 1 |
| 2227 | Add $ \, \color{blue}{ -x^3-x^2 } \, $ and $ \, \color{orangered}{ 9x^3+9x+1 }$. | 1 |
| 2228 | Add $ \, \color{blue}{ -x^5+x^4-x^3+x^2 } \, $ and $ \, \color{orangered}{ x^4+3x^3+2x^2-x-2 }$. | 1 |
| 2229 | Add $ \, \color{blue}{ -x^5+2x^4+2x^3+3x^2-x-2 } \, $ and $ \, \color{orangered}{ 8x^3-x^2+9x+1 }$. | 1 |
| 2230 | Add $ \, \color{blue}{ 8x^2+3 } \, $ and $ \, \color{orangered}{ -4x^2-8x+4 }$. | 1 |
| 2231 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 1 |
| 2232 | Add $ \, \color{blue}{ -6x-2 } \, $ and $ \, \color{orangered}{ 6x^2-5x-10 }$. | 1 |
| 2233 | Add $ \, \color{blue}{ 6x+7 } \, $ and $ \, \color{orangered}{ 8x^2+5x-1 }$. | 1 |
| 2234 | Subtract polynomials: $ \, \color{blue}{ x^2-3x+2 } \, $ , $ \, \color{orangered}{ x^3-3x^2+4x-2 }$. | 1 |
| 2235 | Add $ \, \color{blue}{ -3x^3+5x^2+7 } \, $ and $ \, \color{orangered}{ x^2+5x+9 }$. | 1 |
| 2236 | Subtract polynomials: $ \, \color{blue}{ 7x^9+9x^5+15 } \, $ , $ \, \color{orangered}{ 10x^9+8x^5+12 }$. | 1 |
| 2237 | Subtract polynomials: $ \, \color{blue}{ x^4+8x^3+9x^2 } \, $ , $ \, \color{orangered}{ 5x^4+4x^3+2x^2 }$. | 1 |
| 2238 | Add $ \, \color{blue}{ 2x^7+24x+3x^2+2x } \, $ and $ \, \color{orangered}{ 3x^7+5x^6+2x^2+6x }$. | 1 |
| 2239 | Add $ \, \color{blue}{ 2x^7+4x^6+3x^2+2x } \, $ and $ \, \color{orangered}{ 3x^7+5x^6+2x^2+6x }$. | 1 |
| 2240 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x^3-2x-2 }$. | 1 |
| 2241 | Subtract polynomials: $ \, \color{blue}{ 2x^3+7x+10 } \, $ , $ \, \color{orangered}{ 5x^3+12x^2+10x+8 }$. | 1 |
| 2242 | Subtract polynomials: $ \, \color{blue}{ 4x^2-2x+7 } \, $ , $ \, \color{orangered}{ x^2+3x-4 }$. | 1 |
| 2243 | Add $ \, \color{blue}{ x^2-5x+3 } \, $ and $ \, \color{orangered}{ 2x^2-3x-7 }$. | 1 |
| 2244 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 5+3x-4x }$. | 1 |
| 2245 | Add $ \, \color{blue}{ x^2-3x+2 } \, $ and $ \, \color{orangered}{ x-4 }$. | 1 |
| 2246 | Subtract polynomials: $ \, \color{blue}{ x^2-8x-6 } \, $ , $ \, \color{orangered}{ x^2-2x }$. | 1 |
| 2247 | Subtract polynomials: $ \, \color{blue}{ 8x^2+8x } \, $ , $ \, \color{orangered}{ -9x^2+8x }$. | 1 |
| 2248 | Subtract polynomials: $ \, \color{blue}{ -9x^2-2x } \, $ , $ \, \color{orangered}{ -9x^2-3x }$. | 1 |
| 2249 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+6 }$. | 1 |
| 2250 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ 2x^2-x-3 }$. | 1 |
