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 |
| 1101 | Multiply polynomial $ \, \color{blue}{ 8a-2 } \, $ by $ \, \color{orangered}{ 3a^2+2a-2 }$. | 2 |
| 1102 | Add $ \, \color{blue}{ 3v^4-2+8v^2 } \, $ and $ \, \color{orangered}{ 6v^2+4-7v }$. | 2 |
| 1103 | Subtract polynomials: $ \, \color{blue}{ 4v^2-5-v^3 } \, $ , $ \, \color{orangered}{ 3-6v^3-3v^2 }$. | 2 |
| 1104 | Subtract polynomials: $ \, \color{blue}{ 8y^2-5y+7 } \, $ , $ \, \color{orangered}{ 2y^2+7y+11 }$. | 2 |
| 1105 | Add $ \, \color{blue}{ -t^4-5t^3-10t^2 } \, $ and $ \, \color{orangered}{ 9t^3+3t^2-1 }$. | 2 |
| 1106 | Subtract polynomials: $ \, \color{blue}{ 2j+2 } \, $ , $ \, \color{orangered}{ 5j+6 }$. | 2 |
| 1107 | Add $ \, \color{blue}{ 5u-5 } \, $ and $ \, \color{orangered}{ -u+1 }$. | 2 |
| 1108 | Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 2 |
| 1109 | Multiply polynomial $ \, \color{blue}{ 7x-5 } \, $ by $ \, \color{orangered}{ 9x^2-4x+2 }$. | 2 |
| 1110 | Add $ \, \color{blue}{ 2x+4x-5 } \, $ and $ \, \color{orangered}{ -5x^2+3x+1 }$. | 2 |
| 1111 | Subtract polynomials: $ \, \color{blue}{ 6x-5x^4 } \, $ , $ \, \color{orangered}{ 4x^4+6x^3+3x^2 }$. | 2 |
| 1112 | Multiply polynomial $ \, \color{blue}{ 4x+1 } \, $ by $ \, \color{orangered}{ 3x+5 }$. | 2 |
| 1113 | Multiply polynomial $ \, \color{blue}{ 2x+1 } \, $ by $ \, \color{orangered}{ -4x-3 }$. | 2 |
| 1114 | Multiply polynomial $ \, \color{blue}{ 2x-7 } \, $ by $ \, \color{orangered}{ 2x^2+2x-1 }$. | 2 |
| 1115 | Add $ \, \color{blue}{ -7x-8x^4 } \, $ and $ \, \color{orangered}{ -7x^4+1-2x }$. | 2 |
| 1116 | Multiply polynomial $ \, \color{blue}{ x-3 } \, $ by $ \, \color{orangered}{ -5x+1 }$. | 2 |
| 1117 | Multiply polynomial $ \, \color{blue}{ 2x-1 } \, $ by $ \, \color{orangered}{ x^2+5x-1 }$. | 2 |
| 1118 | Multiply polynomial $ \, \color{blue}{ x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 2 |
| 1119 | Multiply polynomial $ \, \color{blue}{ 3x^2-5x+3 } \, $ by $ \, \color{orangered}{ -2x^2-3x+2 }$. | 2 |
| 1120 | Multiply polynomial $ \, \color{blue}{ x^2-2x-1 } \, $ by $ \, \color{orangered}{ 2x^2+4x-6 }$. | 2 |
| 1121 | Multiply polynomial $ \, \color{blue}{ x^2+2x-2 } \, $ by $ \, \color{orangered}{ 3x^2-x-9 }$. | 2 |
| 1122 | Multiply polynomial $ \, \color{blue}{ x^2-3x-2 } \, $ by $ \, \color{orangered}{ x^2+3x-7 }$. | 2 |
| 1123 | Multiply polynomial $ \, \color{blue}{ 2x+6 } \, $ by $ \, \color{orangered}{ x+3 }$. | 2 |
| 1124 | Subtract polynomials: $ \, \color{blue}{ x^3+4x^2-25x-100 } \, $ , $ \, \color{orangered}{ 10x+50 }$. | 2 |
| 1125 | Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 2x-3 }$. | 2 |
| 1126 | Subtract polynomials: $ \, \color{blue}{ x^2-1 } \, $ , $ \, \color{orangered}{ 1-4x }$. | 2 |
| 1127 | Add $ \, \color{blue}{ 2x-1 } \, $ and $ \, \color{orangered}{ 4x-2 }$. | 2 |
| 1128 | Subtract polynomials: $ \, \color{blue}{ 3x^2+x-3 } \, $ , $ \, \color{orangered}{ 4x-2 }$. | 2 |
| 1129 | Add $ \, \color{blue}{ -9x^4+19x^2-8x-12 } \, $ and $ \, \color{orangered}{ -6x }$. | 2 |
| 1130 | Multiply polynomial $ \, \color{blue}{ 3x0 } \, $ by $ \, \color{orangered}{ 3x0 }$. | 2 |
| 1131 | Add $ \, \color{blue}{ -7x^2+3x-10 } \, $ and $ \, \color{orangered}{ -6x^2-10x+3 }$. | 2 |
| 1132 | Add $ \, \color{blue}{ 2x^2-6x-5 } \, $ and $ \, \color{orangered}{ -9x^2+5x-4 }$. | 2 |
| 1133 | Add $ \, \color{blue}{ -3x^2+3x-8 } \, $ and $ \, \color{orangered}{ 6x^2-4x }$. | 2 |
| 1134 | Subtract polynomials: $ \, \color{blue}{ -8x^2-5x+8 } \, $ , $ \, \color{orangered}{ -6x^2+3x-3 }$. | 2 |
| 1135 | Subtract polynomials: $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ , $ \, \color{orangered}{ -12+5x+6x^2 }$. | 2 |
| 1136 | Multiply polynomial $ \, \color{blue}{ 2n+3 } \, $ by $ \, \color{orangered}{ n-2 }$. | 2 |
| 1137 | Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ 3x-6 }$. | 2 |
| 1138 | Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 2 |
| 1139 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 1140 | Multiply polynomial $ \, \color{blue}{ 3a-4a } \, $ by $ \, \color{orangered}{ 6a-12a }$. | 2 |
| 1141 | Add $ \, \color{blue}{ x+8 } \, $ and $ \, \color{orangered}{ x+5 }$. | 2 |
| 1142 | Add $ \, \color{blue}{ 4x+2 } \, $ and $ \, \color{orangered}{ 4x-5 }$. | 2 |
| 1143 | Subtract polynomials: $ \, \color{blue}{ 3x-2 } \, $ , $ \, \color{orangered}{ 2x+1 }$. | 2 |
| 1144 | Subtract polynomials: $ \, \color{blue}{ 2x^9+12x+x^5-8x^4 } \, $ , $ \, \color{orangered}{ 6x^{10}+11x^7+8x^5+2x^4 }$. | 2 |
| 1145 | Subtract polynomials: $ \, \color{blue}{ 106 } \, $ , $ \, \color{orangered}{ 0 }$. | 2 |
| 1146 | Multiply polynomial $ \, \color{blue}{ 3x+2 } \, $ by $ \, \color{orangered}{ 2x-9 }$. | 2 |
| 1147 | Add $ \, \color{blue}{ 3x+2 } \, $ and $ \, \color{orangered}{ 2x-9 }$. | 2 |
| 1148 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 12x-4x+9 }$. | 2 |
| 1149 | Subtract polynomials: $ \, \color{blue}{ -3x-2 } \, $ , $ \, \color{orangered}{ 6x^2-4x+9 }$. | 2 |
| 1150 | Subtract polynomials: $ \, \color{blue}{ -10x+3 } \, $ , $ \, \color{orangered}{ 7x^2+5x+10 }$. | 2 |