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}{ 8x^3+14x+8 } \, $ and $ \, \color{orangered}{ 2x+1 }$. | 2 |
| 1202 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 1203 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x } \, $ by $ \, \color{orangered}{ x-7 }$. | 2 |
| 1204 | Add $ \, \color{blue}{ -3+5x } \, $ and $ \, \color{orangered}{ -3x^2+6x^3+1-6x }$. | 2 |
| 1205 | Multiply polynomial $ \, \color{blue}{ 2x^2+9x+7 } \, $ by $ \, \color{orangered}{ 2x^2+9x+7 }$. | 2 |
| 1206 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28+49 }$. | 2 |
| 1207 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28x+49 }$. | 2 |
| 1208 | Subtract polynomials: $ \, \color{blue}{ 2x+3 } \, $ , $ \, \color{orangered}{ x^2+3x }$. | 2 |
| 1209 | Subtract polynomials: $ \, \color{blue}{ x^2-4+6 } \, $ , $ \, \color{orangered}{ 2x^2+x-3 }$. | 2 |
| 1210 | Add $ \, \color{blue}{ 2x^3+x^2-x+5 } \, $ and $ \, \color{orangered}{ x^3-3x^2+4x-2 }$. | 2 |
| 1211 | Add $ \, \color{blue}{ x^5+x^4+x^3+x^2+x } \, $ and $ \, \color{orangered}{ 2x^5-x^4+x^3-3x^2+x-1 }$. | 2 |
| 1212 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-x+1 }$. | 2 |
| 1213 | Multiply polynomial $ \, \color{blue}{ x^2+x+1 } \, $ by $ \, \color{orangered}{ x^2-x+1 }$. | 2 |
| 1214 | Multiply polynomial $ \, \color{blue}{ x^3+2x^2+x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 2 |
| 1215 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 2x^2-3x+5 }$. | 2 |
| 1216 | Add $ \, \color{blue}{ 12x+3x-7+6x+5x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1217 | Add $ \, \color{blue}{ 12x+3x-7+6x+5x-4+22x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1218 | Add $ \, \color{blue}{ 5x-4+3x-7+24x-5 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1219 | Add $ \, \color{blue}{ 5x^4+3x^2-6x+8-x^2-2-x^2-2 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1220 | Add $ \, \color{blue}{ 3-2p-5p^2 } \, $ and $ \, \color{orangered}{ p^4-3p+4 }$. | 2 |
| 1221 | Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 11-5x }$. | 2 |
| 1222 | Subtract polynomials: $ \, \color{blue}{ 2x^2+6x+1 } \, $ , $ \, \color{orangered}{ 3x^2+3x+9 }$. | 2 |
| 1223 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 1224 | Multiply polynomial $ \, \color{blue}{ 4x^2-x+16 } \, $ by $ \, \color{orangered}{ x^2+3x+4 }$. | 2 |
| 1225 | Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 11-5x }$. | 2 |
| 1226 | Multiply polynomial $ \, \color{blue}{ -8x+7 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1227 | Subtract polynomials: $ \, \color{blue}{ 7b^2-2b-5 } \, $ , $ \, \color{orangered}{ -4b^2+6b-9 }$. | 2 |
| 1228 | Add $ \, \color{blue}{ 7x^2-3x+10 } \, $ and $ \, \color{orangered}{ -4x^2+6x-4 }$. | 2 |
| 1229 | Add $ \, \color{blue}{ 2y^2+7y+11 } \, $ and $ \, \color{orangered}{ 8y^2-5y+7 }$. | 2 |
| 1230 | Subtract polynomials: $ \, \color{blue}{ 2y^2+7y+11 } \, $ , $ \, \color{orangered}{ 8y^2-5y+7 }$. | 2 |
| 1231 | Add $ \, \color{blue}{ 6c^2-2c-1 } \, $ and $ \, \color{orangered}{ -4c^2+7c+5 }$. | 2 |
| 1232 | Subtract polynomials: $ \, \color{blue}{ p^2-5p+4 } \, $ , $ \, \color{orangered}{ 4p^2-9p+11 }$. | 2 |
| 1233 | Subtract polynomials: $ \, \color{blue}{ -3a^2+2a-5 } \, $ , $ \, \color{orangered}{ -2a^2+a+6 }$. | 2 |
| 1234 | Subtract polynomials: $ \, \color{blue}{ 10a^2+3a+25 } \, $ , $ \, \color{orangered}{ 9a^2-6a+5 }$. | 2 |
| 1235 | Add $ \, \color{blue}{ -8r^2+11r-6 } \, $ and $ \, \color{orangered}{ -7r^2-9r+14 }$. | 2 |
| 1236 | Multiply polynomial $ \, \color{blue}{ t^2+7t+6 } \, $ by $ \, \color{orangered}{ 2t+1 }$. | 2 |
| 1237 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x^2+9x }$. | 2 |
| 1238 | Multiply polynomial $ \, \color{blue}{ c^3+6c^2+2c } \, $ by $ \, \color{orangered}{ c^2+1 }$. | 2 |
| 1239 | Multiply polynomial $ \, \color{blue}{ b^3+b^2 } \, $ by $ \, \color{orangered}{ b^2+7b+4 }$. | 2 |
| 1240 | Multiply polynomial $ \, \color{blue}{ 2-5y } \, $ by $ \, \color{orangered}{ y^2+6y+9 }$. | 2 |
| 1241 | Multiply polynomial $ \, \color{blue}{ q^2-2q+5 } \, $ by $ \, \color{orangered}{ q^2-5 }$. | 2 |
| 1242 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-5 } \, $ by $ \, \color{orangered}{ 3x-1 }$. | 2 |
| 1243 | Multiply polynomial $ \, \color{blue}{ -5+4x } \, $ by $ \, \color{orangered}{ 3x+3 }$. | 2 |
| 1244 | Add $ \, \color{blue}{ x^2-6x+9 } \, $ and $ \, \color{orangered}{ 2x^2-9x+9 }$. | 2 |
| 1245 | Add $ \, \color{blue}{ -3x^2+8x+8 } \, $ and $ \, \color{orangered}{ -x^2-4x-6 }$. | 2 |
| 1246 | Subtract polynomials: $ \, \color{blue}{ -7x^3+4x^2+6x+3 } \, $ , $ \, \color{orangered}{ -11x^3+8x^2+6x+9 }$. | 2 |
| 1247 | Multiply polynomial $ \, \color{blue}{ x+8 } \, $ by $ \, \color{orangered}{ x+9 }$. | 2 |
| 1248 | Multiply polynomial $ \, \color{blue}{ 10m+9 } \, $ by $ \, \color{orangered}{ 8m+7 }$. | 2 |
| 1249 | Multiply polynomial $ \, \color{blue}{ y-1 } \, $ by $ \, \color{orangered}{ y^2-7y+2 }$. | 2 |
| 1250 | Multiply polynomial $ \, \color{blue}{ 3x^2+7x-4 } \, $ by $ \, \color{orangered}{ 8x^2-6x+2 }$. | 2 |
