Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
| ID |
Problem |
Count |
| 101 | Add $ \, \color{blue}{ 7 } \, $ and $ \, \color{orangered}{ 3 }$. | 6 |
| 102 | Multiply polynomial $ \, \color{blue}{ x^3-x^2+3x-5 } \, $ by $ \, \color{orangered}{ x^2-x+2 }$. | 6 |
| 103 | Subtract polynomials: $ \, \color{blue}{ -2x-5 } \, $ , $ \, \color{orangered}{ -9x^4+6x^3-3x^2-6x+4 }$. | 6 |
| 104 | Add $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ and $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$. | 6 |
| 105 | Add $ \, \color{blue}{ 4x-3 } \, $ and $ \, \color{orangered}{ x+6 }$. | 6 |
| 106 | Add $ \, \color{blue}{ 8s^3+6s^2+3s } \, $ and $ \, \color{orangered}{ 8s^3+6s+2 }$. | 6 |
| 107 | Subtract polynomials: $ \, \color{blue}{ -12x+x-6 } \, $ , $ \, \color{orangered}{ 8x-6x-4 }$. | 6 |
| 108 | Add $ \, \color{blue}{ 4x^2-4x-18 } \, $ and $ \, \color{orangered}{ 4x^2-11x-1 }$. | 6 |
| 109 | Multiply polynomial $ \, \color{blue}{ 9x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 6 |
| 110 | Subtract polynomials: $ \, \color{blue}{ 5x+x^4 } \, $ , $ \, \color{orangered}{ 3x^4+4x }$. | 6 |
| 111 | Add $ \, \color{blue}{ 2x } \, $ and $ \, \color{orangered}{ 3x^2-4x }$. | 6 |
| 112 | Multiply polynomial $ \, \color{blue}{ 10y+50 } \, $ by $ \, \color{orangered}{ y+6 }$. | 6 |
| 113 | Multiply polynomial $ \, \color{blue}{ 5y-1 } \, $ by $ \, \color{orangered}{ y-7 }$. | 6 |
| 114 | Subtract polynomials: $ \, \color{blue}{ 10 } \, $ , $ \, \color{orangered}{ 2 }$. | 5 |
| 115 | Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ 4 }$. | 5 |
| 116 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x-4 }$. | 5 |
| 117 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x-3 }$. | 5 |
| 118 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x+2 }$. | 5 |
| 119 | Multiply polynomial $ \, \color{blue}{ 5x^2-3 } \, $ by $ \, \color{orangered}{ x^2-2 }$. | 5 |
| 120 | Subtract polynomials: $ \, \color{blue}{ s^6+7s^5+2s^4+9s^3+10s^2+12s+15 } \, $ , $ \, \color{orangered}{ s^6+9s^5+8s^4+9s^3+12s^2+15s+20 }$. | 5 |
| 121 | Subtract polynomials: $ \, \color{blue}{ 4n-3n^3 } \, $ , $ \, \color{orangered}{ 3n^3+4n }$. | 5 |
| 122 | Multiply polynomial $ \, \color{blue}{ 5k^3+3k^2-2k } \, $ by $ \, \color{orangered}{ -8k^3-20k }$. | 5 |
| 123 | Multiply polynomial $ \, \color{blue}{ x-5 } \, $ by $ \, \color{orangered}{ 2x^2-3x-2 }$. | 5 |
| 124 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ 2x^2-3x-2 }$. | 5 |
| 125 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 2x^2+3x+5 }$. | 5 |
| 126 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 127 | Subtract polynomials: $ \, \color{blue}{ 2p^5-5p-4 } \, $ , $ \, \color{orangered}{ 6p^5+8-p }$. | 5 |
| 128 | Subtract polynomials: $ \, \color{blue}{ 7x^2-x+4 } \, $ , $ \, \color{orangered}{ 3x^2-4x-3 }$. | 5 |
| 129 | Multiply polynomial $ \, \color{blue}{ 5+3x+2x } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 5 |
| 130 | Add $ \, \color{blue}{ x^2 } \, $ and $ \, \color{orangered}{ 1 }$. | 4 |
| 131 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x-1 }$. | 4 |
| 132 | Multiply polynomial $ \, \color{blue}{ 6x+1 } \, $ by $ \, \color{orangered}{ 3x+10 }$. | 4 |
| 133 | Multiply polynomial $ \, \color{blue}{ 5x-3 } \, $ by $ \, \color{orangered}{ 5x+11 }$. | 4 |
| 134 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2-4x+16 }$. | 4 |
| 135 | Multiply polynomial $ \, \color{blue}{ 8x-3 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 4 |
| 136 | Subtract polynomials: $ \, \color{blue}{ -2x+5 } \, $ , $ \, \color{orangered}{ -x-9 }$. | 4 |
| 137 | Multiply polynomial $ \, \color{blue}{ 5x+6 } \, $ by $ \, \color{orangered}{ 2x-1 }$. | 4 |
| 138 | Multiply polynomial $ \, \color{blue}{ x^2+2x+1 } \, $ by $ \, \color{orangered}{ x^2-2x+1 }$. | 4 |
| 139 | Multiply polynomial $ \, \color{blue}{ x+7 } \, $ by $ \, \color{orangered}{ 3x+5 }$. | 4 |
| 140 | Subtract polynomials: $ \, \color{blue}{ -10x^3+5x^3+6 } \, $ , $ \, \color{orangered}{ 4x^3+2x }$. | 4 |
| 141 | Subtract polynomials: $ \, \color{blue}{ 6x^3-3x^4-2 } \, $ , $ \, \color{orangered}{ 7x^4+2x^3-7x^2 }$. | 4 |
| 142 | Subtract polynomials: $ \, \color{blue}{ 3x^5+7x^2-4x+8 } \, $ , $ \, \color{orangered}{ 4x^4+8x^2-3x+7 }$. | 4 |
| 143 | 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 }$. | 4 |
| 144 | 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 }$. | 4 |
| 145 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x } \, $ by $ \, \color{orangered}{ 7x^2-2x }$. | 4 |
| 146 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x+1 }$. | 4 |
| 147 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$. | 4 |
| 148 | Multiply polynomial $ \, \color{blue}{ 4x^2+3x+4 } \, $ by $ \, \color{orangered}{ 3x^2-4x-3 }$. | 4 |
| 149 | Multiply polynomial $ \, \color{blue}{ s^4+26s^3+223s^2+630s } \, $ by $ \, \color{orangered}{ s^4+7s^3+22s^2+30s }$. | 4 |
| 150 | Add $ \, \color{blue}{ -4x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 4 |
