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 |
| 1151 | Subtract polynomials: $ \, \color{blue}{ x^2+2x-4 } \, $ , $ \, \color{orangered}{ -12x+3x-3 }$. | 2 |
| 1152 | Subtract polynomials: $ \, \color{blue}{ 10x^2+3 } \, $ , $ \, \color{orangered}{ 9x^2+4x+1 }$. | 2 |
| 1153 | Subtract polynomials: $ \, \color{blue}{ 9x^2+4x } \, $ , $ \, \color{orangered}{ 4x^2-7 }$. | 2 |
| 1154 | Subtract polynomials: $ \, \color{blue}{ 10x+10 } \, $ , $ \, \color{orangered}{ 7x^2+5x-8 }$. | 2 |
| 1155 | Subtract polynomials: $ \, \color{blue}{ -x+2 } \, $ , $ \, \color{orangered}{ x^2+9x-2 }$. | 2 |
| 1156 | Subtract polynomials: $ \, \color{blue}{ x+3 } \, $ , $ \, \color{orangered}{ 3x^2+6x-4 }$. | 2 |
| 1157 | Subtract polynomials: $ \, \color{blue}{ 3x-4 } \, $ , $ \, \color{orangered}{ x^2+6x+7 }$. | 2 |
| 1158 | Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2-2x+7 }$. | 2 |
| 1159 | Add $ \, \color{blue}{ x^2-5x+13 } \, $ and $ \, \color{orangered}{ x^2+3x-6 }$. | 2 |
| 1160 | Multiply polynomial $ \, \color{blue}{ 2x^4-5x^3+4x^2-5 } \, $ by $ \, \color{orangered}{ 2x^3-5x^2-10 }$. | 2 |
| 1161 | Multiply polynomial $ \, \color{blue}{ x^2-5x+4 } \, $ by $ \, \color{orangered}{ x-2 }$. | 2 |
| 1162 | Subtract polynomials: $ \, \color{blue}{ 8a-6a+2 } \, $ , $ \, \color{orangered}{ 2a+3a-5 }$. | 2 |
| 1163 | Subtract polynomials: $ \, \color{blue}{ 12m+8m-3 } \, $ , $ \, \color{orangered}{ 4m-m+4 }$. | 2 |
| 1164 | Multiply polynomial $ \, \color{blue}{ 2x^3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1165 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 2 |
| 1166 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x^2+2x-1 }$. | 2 |
| 1167 | Subtract polynomials: $ \, \color{blue}{ 4x+16 } \, $ , $ \, \color{orangered}{ x-4 }$. | 2 |
| 1168 | Add $ \, \color{blue}{ 3x^4-13x } \, $ and $ \, \color{orangered}{ 2x-x^4 }$. | 2 |
| 1169 | Add $ \, \color{blue}{ x^2-x } \, $ and $ \, \color{orangered}{ 8x-2x^2 }$. | 2 |
| 1170 | Add $ \, \color{blue}{ 2a^2+4a^3 } \, $ and $ \, \color{orangered}{ 3a^3+8 }$. | 2 |
| 1171 | Add $ \, \color{blue}{ 20v^2-9v^3 } \, $ and $ \, \color{orangered}{ 7v^3-10v^4-11v^2 }$. | 2 |
| 1172 | Add $ \, \color{blue}{ -x^3 } \, $ and $ \, \color{orangered}{ 24x^3 }$. | 2 |
| 1173 | Subtract polynomials: $ \, \color{blue}{ 2a^2+4a^3 } \, $ , $ \, \color{orangered}{ 3a^3+8 }$. | 2 |
| 1174 | Multiply polynomial $ \, \color{blue}{ -4x^4+10x } \, $ by $ \, \color{orangered}{ 5x^3-1 }$. | 2 |
| 1175 | Multiply polynomial $ \, \color{blue}{ -5t^3 } \, $ by $ \, \color{orangered}{ 6t^7-9t }$. | 2 |
| 1176 | Add $ \, \color{blue}{ 8x^3+14x+8 } \, $ and $ \, \color{orangered}{ 2x+1 }$. | 2 |
| 1177 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 1178 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1179 | Multiply polynomial $ \, \color{blue}{ 2x^2-3x } \, $ by $ \, \color{orangered}{ x-7 }$. | 2 |
| 1180 | Add $ \, \color{blue}{ -3+5x } \, $ and $ \, \color{orangered}{ -3x^2+6x^3+1-6x }$. | 2 |
| 1181 | Multiply polynomial $ \, \color{blue}{ 2x^2+9x+7 } \, $ by $ \, \color{orangered}{ 2x^2+9x+7 }$. | 2 |
| 1182 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28+49 }$. | 2 |
| 1183 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ 4x^2+28x+49 }$. | 2 |
| 1184 | Subtract polynomials: $ \, \color{blue}{ 2x+3 } \, $ , $ \, \color{orangered}{ x^2+3x }$. | 2 |
| 1185 | Subtract polynomials: $ \, \color{blue}{ x^2-4+6 } \, $ , $ \, \color{orangered}{ 2x^2+x-3 }$. | 2 |
| 1186 | Add $ \, \color{blue}{ 2x^3+x^2-x+5 } \, $ and $ \, \color{orangered}{ x^3-3x^2+4x-2 }$. | 2 |
| 1187 | 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 |
| 1188 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-x+1 }$. | 2 |
| 1189 | Multiply polynomial $ \, \color{blue}{ x^2+x+1 } \, $ by $ \, \color{orangered}{ x^2-x+1 }$. | 2 |
| 1190 | Multiply polynomial $ \, \color{blue}{ x^3+2x^2+x+1 } \, $ by $ \, \color{orangered}{ x+1 }$. | 2 |
| 1191 | Multiply polynomial $ \, \color{blue}{ 3x-4 } \, $ by $ \, \color{orangered}{ 2x^2-3x+5 }$. | 2 |
| 1192 | Add $ \, \color{blue}{ 12x+3x-7+6x+5x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1193 | Add $ \, \color{blue}{ 12x+3x-7+6x+5x-4+22x-4 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1194 | Add $ \, \color{blue}{ 5x-4+3x-7+24x-5 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1195 | Add $ \, \color{blue}{ 5x^4+3x^2-6x+8-x^2-2-x^2-2 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1196 | Add $ \, \color{blue}{ 3-2p-5p^2 } \, $ and $ \, \color{orangered}{ p^4-3p+4 }$. | 2 |
| 1197 | Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 11-5x }$. | 2 |
| 1198 | Subtract polynomials: $ \, \color{blue}{ 2x^2+6x+1 } \, $ , $ \, \color{orangered}{ 3x^2+3x+9 }$. | 2 |
| 1199 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 1200 | Multiply polynomial $ \, \color{blue}{ 4x^2-x+16 } \, $ by $ \, \color{orangered}{ x^2+3x+4 }$. | 2 |