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 |
| 1201 | Add $ \, \color{blue}{ 7x^3-2 } \, $ and $ \, \color{orangered}{ 5x^3-x-3 }$. | 2 |
| 1202 | Add $ \, \color{blue}{ 6x^5+1 } \, $ and $ \, \color{orangered}{ 2x^5+9x-1 }$. | 2 |
| 1203 | Add $ \, \color{blue}{ -5x^2+4 } \, $ and $ \, \color{orangered}{ -3x^2-5x+2 }$. | 2 |
| 1204 | Subtract polynomials: $ \, \color{blue}{ 8x^2-3x } \, $ , $ \, \color{orangered}{ 5x-40x^3 }$. | 2 |
| 1205 | Subtract polynomials: $ \, \color{blue}{ -2x^3+x } \, $ , $ \, \color{orangered}{ 7x-3-7x^3 }$. | 2 |
| 1206 | Multiply polynomial $ \, \color{blue}{ 8x^5 } \, $ by $ \, \color{orangered}{ 3x^5 }$. | 2 |
| 1207 | Add $ \, \color{blue}{ 3x^2 } \, $ and $ \, \color{orangered}{ 2-x^2 }$. | 2 |
| 1208 | Multiply polynomial $ \, \color{blue}{ x^4+7 } \, $ by $ \, \color{orangered}{ 5x^2+10x-1 }$. | 2 |
| 1209 | Subtract polynomials: $ \, \color{blue}{ 7-13x^3-11x } \, $ , $ \, \color{orangered}{ 2x^3+8-4x^5 }$. | 2 |
| 1210 | Multiply polynomial $ \, \color{blue}{ 4a+2 } \, $ by $ \, \color{orangered}{ 12a-a+2 }$. | 2 |
| 1211 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 8x^2-x-1 }$. | 2 |
| 1212 | Multiply polynomial $ \, \color{blue}{ 2x^2-x-2 } \, $ by $ \, \color{orangered}{ -2x^2-3x+8 }$. | 2 |
| 1213 | Add $ \, \color{blue}{ x-7 } \, $ and $ \, \color{orangered}{ x^2-x-3 }$. | 2 |
| 1214 | Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ -2 }$. | 2 |
| 1215 | Multiply polynomial $ \, \color{blue}{ 6x+9 } \, $ by $ \, \color{orangered}{ 6x^2+4x+5 }$. | 2 |
| 1216 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ -5x^2+7x-10 }$. | 2 |
| 1217 | Subtract polynomials: $ \, \color{blue}{ -5x^2-7x+2 } \, $ , $ \, \color{orangered}{ -5x^2+7x+2 }$. | 2 |
| 1218 | Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$. | 2 |
| 1219 | Multiply polynomial $ \, \color{blue}{ 2x^2-x-5 } \, $ by $ \, \color{orangered}{ -x^2-x-3 }$. | 2 |
| 1220 | Multiply polynomial $ \, \color{blue}{ -x+2 } \, $ by $ \, \color{orangered}{ x^2+9x-2 }$. | 2 |
| 1221 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 3x^2-3x-7 }$. | 2 |
| 1222 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ 3x^2-5x-8 }$. | 2 |
| 1223 | Multiply polynomial $ \, \color{blue}{ 4n^2-5+4 } \, $ by $ \, \color{orangered}{ 8n-1 }$. | 2 |
| 1224 | Multiply polynomial $ \, \color{blue}{ 4n^2-5n+4 } \, $ by $ \, \color{orangered}{ 8n-1 }$. | 2 |
| 1225 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+1 }$. | 2 |
| 1226 | Subtract polynomials: $ \, \color{blue}{ 3x+8x^2+7 } \, $ , $ \, \color{orangered}{ 12x^2-3-6x }$. | 2 |
| 1227 | Add $ \, \color{blue}{ 6+4x^2-11x } \, $ and $ \, \color{orangered}{ 6x^2-9-7x }$. | 2 |
| 1228 | Multiply polynomial $ \, \color{blue}{ 6x^3+5x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+5 }$. | 2 |
| 1229 | Multiply polynomial $ \, \color{blue}{ x^2-2x-2 } \, $ by $ \, \color{orangered}{ 4x^2-4x+1 }$. | 2 |
| 1230 | Multiply polynomial $ \, \color{blue}{ 3x^2-4x } \, $ by $ \, \color{orangered}{ 4x^2+5x }$. | 2 |
| 1231 | Multiply polynomial $ \, \color{blue}{ 4x^3-7x^2-16x+3 } \, $ by $ \, \color{orangered}{ x-3 }$. | 2 |
| 1232 | Add $ \, \color{blue}{ x^3-9x } \, $ and $ \, \color{orangered}{ 3x^2+2x }$. | 2 |
| 1233 | Add $ \, \color{blue}{ 8+5x^2+x } \, $ and $ \, \color{orangered}{ 2+6x^2 }$. | 2 |
| 1234 | Multiply polynomial $ \, \color{blue}{ 4r^2-4r-8 } \, $ by $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 2 |
| 1235 | Multiply polynomial $ \, \color{blue}{ 4x+3 } \, $ by $ \, \color{orangered}{ x^2-5 }$. | 2 |
| 1236 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ 6x-5 }$. | 2 |
| 1237 | Multiply polynomial $ \, \color{blue}{ -4x } \, $ by $ \, \color{orangered}{ -8x-9 }$. | 2 |
| 1238 | Multiply polynomial $ \, \color{blue}{ 6+5 } \, $ by $ \, \color{orangered}{ 9-7 }$. | 2 |
| 1239 | Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 4x^2+x-4 }$. | 2 |
| 1240 | Multiply polynomial $ \, \color{blue}{ 9x+7 } \, $ by $ \, \color{orangered}{ 9x+7 }$. | 2 |
| 1241 | Subtract polynomials: $ \, \color{blue}{ -x+6 } \, $ , $ \, \color{orangered}{ 6x^2+2x-8 }$. | 2 |
| 1242 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x-8 } \, $ , $ \, \color{orangered}{ -x+6 }$. | 2 |
| 1243 | Add $ \, \color{blue}{ -3x+15 } \, $ and $ \, \color{orangered}{ -3x+9 }$. | 2 |
| 1244 | Multiply polynomial $ \, \color{blue}{ -3x+15 } \, $ by $ \, \color{orangered}{ -3x+9 }$. | 2 |
| 1245 | Add $ \, \color{blue}{ -3x-2 } \, $ and $ \, \color{orangered}{ -5x^2 }$. | 2 |
| 1246 | Multiply polynomial $ \, \color{blue}{ 6x+4 } \, $ by $ \, \color{orangered}{ x^2-9 }$. | 2 |
| 1247 | Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -10x-9 }$. | 2 |
| 1248 | Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x-6 }$. | 2 |
| 1249 | Multiply polynomial $ \, \color{blue}{ -7x } \, $ by $ \, \color{orangered}{ -2x+6 }$. | 2 |
| 1250 | Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ -x^2+x+3 }$. | 2 |