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 |
| 151 | Multiply polynomial $ \, \color{blue}{ 6x^4+4x^3+2x^2+x-2 } \, $ by $ \, \color{orangered}{ 3x^2+x-1 }$. | 11 |
| 152 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 3x^4+4x }$. | 11 |
| 153 | Add $ \, \color{blue}{ 2x^2+x-3 } \, $ and $ \, \color{orangered}{ x^2-3x+5 }$. | 10 |
| 154 | Multiply polynomial $ \, \color{blue}{ 21331324201 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 10 |
| 155 | Add $ \, \color{blue}{ 2x^2+x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 9 |
| 156 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2+2x-5 }$. | 9 |
| 157 | Add $ \, \color{blue}{ 2x } \, $ and $ \, \color{orangered}{ 3x^2-4x }$. | 9 |
| 158 | Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ 2x^2+4x-3 }$. | 9 |
| 159 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 9 |
| 160 | Add $ \, \color{blue}{ x^2-8 } \, $ and $ \, \color{orangered}{ -4x+3x^2-10 }$. | 8 |
| 161 | Multiply polynomial $ \, \color{blue}{ 5x+9 } \, $ by $ \, \color{orangered}{ 5x+11 }$. | 8 |
| 162 | Subtract polynomials: $ \, \color{blue}{ 7x^2-3x+10 } \, $ , $ \, \color{orangered}{ -4x^2+6x-4 }$. | 8 |
| 163 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 7 |
| 164 | Multiply polynomial $ \, \color{blue}{ 3x^2+4x-3 } \, $ by $ \, \color{orangered}{ 8x+5 }$. | 7 |
| 165 | Add $ \, \color{blue}{ y^2+2y } \, $ and $ \, \color{orangered}{ y^2+5y+8 }$. | 7 |
| 166 | Subtract polynomials: $ \, \color{blue}{ -10x^3+5x^3+6 } \, $ , $ \, \color{orangered}{ 4x^3+2x }$. | 7 |
| 167 | Multiply polynomial $ \, \color{blue}{ 5y-1 } \, $ by $ \, \color{orangered}{ y-7 }$. | 7 |
| 168 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x-3 }$. | 7 |
| 169 | Multiply polynomial $ \, \color{blue}{ x^3-x^2+3x-5 } \, $ by $ \, \color{orangered}{ x^2-x+2 }$. | 6 |
| 170 | Add $ \, \color{blue}{ x^3-x^2-2x-12 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 6 |
| 171 | Add $ \, \color{blue}{ 7 } \, $ and $ \, \color{orangered}{ 3 }$. | 6 |
| 172 | Subtract polynomials: $ \, \color{blue}{ 5x+x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 6 |
| 173 | Multiply polynomial $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ by $ \, \color{orangered}{ s^6+9s^5+8s^4+9s^3+12s^2+15s+20 }$. | 6 |
| 174 | Add $ \, \color{blue}{ 9x+9 } \, $ and $ \, \color{orangered}{ -9x^2-8x+6 }$. | 6 |
| 175 | Multiply polynomial $ \, \color{blue}{ x-x^8 } \, $ by $ \, \color{orangered}{ x-x^5 }$. | 6 |
| 176 | Subtract polynomials: $ \, \color{blue}{ 11x^2+2x-10 } \, $ , $ \, \color{orangered}{ 14x^2-7x-5 }$. | 6 |
| 177 | Multiply polynomial $ \, \color{blue}{ 7y+1 } \, $ by $ \, \color{orangered}{ 8y-3 }$. | 6 |
| 178 | Add $ \, \color{blue}{ 7w^2+4w-6 } \, $ and $ \, \color{orangered}{ w^2-11w+13 }$. | 6 |
| 179 | Subtract polynomials: $ \, \color{blue}{ 6x^2-9 } \, $ , $ \, \color{orangered}{ -4x^2+7 }$. | 6 |
| 180 | Add $ \, \color{blue}{ 9x^2+4x-7 } \, $ and $ \, \color{orangered}{ 3x^2+6x-7 }$. | 6 |
| 181 | Add $ \, \color{blue}{ 2x^2+6x+12 } \, $ and $ \, \color{orangered}{ -2x^3+7x+6 }$. | 6 |
| 182 | Add $ \, \color{blue}{ 5a+2 } \, $ and $ \, \color{orangered}{ 2a-3 }$. | 5 |
| 183 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ x+2 }$. | 5 |
| 184 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^50x^40x^3-4x^20x-6 }$. | 5 |
| 185 | Add $ \, \color{blue}{ x-3 } \, $ and $ \, \color{orangered}{ x+3 }$. | 5 |
| 186 | Add $ \, \color{blue}{ 4x^2-8x-7 } \, $ and $ \, \color{orangered}{ 12x^2+14x-9 }$. | 5 |
| 187 | Multiply polynomial $ \, \color{blue}{ 3x^2-5x-2 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 188 | Multiply polynomial $ \, \color{blue}{ 8+8x } \, $ by $ \, \color{orangered}{ 8-8x }$. | 5 |
| 189 | Add $ \, \color{blue}{ 4x^3-12x } \, $ and $ \, \color{orangered}{ -6x+12x^3-3 }$. | 5 |
| 190 | Add $ \, \color{blue}{ 3x^2+3x-5 } \, $ and $ \, \color{orangered}{ 8x^2+7x-5 }$. | 5 |
| 191 | Add $ \, \color{blue}{ x^3-2x^2+4x-8 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 192 | Subtract polynomials: $ \, \color{blue}{ x^3-2x^2+4x-8 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 193 | Subtract polynomials: $ \, \color{blue}{ x^2-7x-5 } \, $ , $ \, \color{orangered}{ -3x^2+3x-4 }$. | 5 |
| 194 | Multiply polynomial $ \, \color{blue}{ -3x^2-4 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 5 |
| 195 | Subtract polynomials: $ \, \color{blue}{ 5x^2-8x+5 } \, $ , $ \, \color{orangered}{ 9x^2+8x-7 }$. | 5 |
| 196 | Add $ \, \color{blue}{ 5x+3 } \, $ and $ \, \color{orangered}{ -19x+2 }$. | 5 |
| 197 | Subtract polynomials: $ \, \color{blue}{ 3x^2-9x-3 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2+6x-5 }$. | 5 |
| 198 | Subtract polynomials: $ \, \color{blue}{ x^2-6x-6 } \, $ , $ \, \color{orangered}{ 3x^2+4x+2 }$. | 5 |
| 199 | Subtract polynomials: $ \, \color{blue}{ x^2-9x } \, $ , $ \, \color{orangered}{ 9x^2-8x }$. | 5 |
| 200 | Add $ \, \color{blue}{ 21331324201 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 5 |
