Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
| ID |
Problem |
Count |
| 51 | Subtract polynomials: $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ , $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$. | 13 |
| 52 | Multiply polynomial $ \, \color{blue}{ 4b^2-2 } \, $ by $ \, \color{orangered}{ 4b^2+2-2b }$. | 13 |
| 53 | Multiply polynomial $ \, \color{blue}{ 2y^2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 13 |
| 54 | Subtract polynomials: $ \, \color{blue}{ 7y+1 } \, $ , $ \, \color{orangered}{ 3y+1 }$. | 13 |
| 55 | Multiply polynomial $ \, \color{blue}{ 6x^2+2x } \, $ by $ \, \color{orangered}{ -9x^2-10x }$. | 13 |
| 56 | Multiply polynomial $ \, \color{blue}{ 3q^2+5q } \, $ by $ \, \color{orangered}{ 6q^2+8q+9 }$. | 13 |
| 57 | Add $ \, \color{blue}{ 10x^2+4x-22 } \, $ and $ \, \color{orangered}{ 7x^2-5x+18 }$. | 12 |
| 58 | Multiply polynomial $ \, \color{blue}{ 9x^2+6x-8 } \, $ by $ \, \color{orangered}{ x+2 }$. | 12 |
| 59 | Add $ \, \color{blue}{ 7x^3+4x^2+3x+12 } \, $ and $ \, \color{orangered}{ 9x^3-2x^2+5x-8 }$. | 12 |
| 60 | Subtract polynomials: $ \, \color{blue}{ 4x^2-6 } \, $ , $ \, \color{orangered}{ x^2+1 }$. | 11 |
| 61 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 11 |
| 62 | Add $ \, \color{blue}{ 8x^2-15x-19 } \, $ and $ \, \color{orangered}{ 7-7x+2x^2 }$. | 11 |
| 63 | Multiply polynomial $ \, \color{blue}{ 5+3x+2x^2+x^3 } \, $ by $ \, \color{orangered}{ 3+7x+4x^2+7x^3 }$. | 11 |
| 64 | Subtract polynomials: $ \, \color{blue}{ 10x^2+8x-5 } \, $ , $ \, \color{orangered}{ -9x^2-3x-4 }$. | 11 |
| 65 | Add $ \, \color{blue}{ 7x^2+x+1 } \, $ and $ \, \color{orangered}{ 6x^2-8x-10 }$. | 10 |
| 66 | Add $ \, \color{blue}{ 5x+14 } \, $ and $ \, \color{orangered}{ 2x^2-4x+3 }$. | 10 |
| 67 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x-3 }$. | 10 |
| 68 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 10 |
| 69 | Multiply polynomial $ \, \color{blue}{ -x+3 } \, $ by $ \, \color{orangered}{ -x-5 }$. | 10 |
| 70 | Multiply polynomial $ \, \color{blue}{ 2y^2-2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 10 |
| 71 | Subtract polynomials: $ \, \color{blue}{ 6a^2+5a+10 } \, $ , $ \, \color{orangered}{ 4a^2+6a+12 }$. | 10 |
| 72 | Add $ \, \color{blue}{ 21y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$. | 10 |
| 73 | Subtract polynomials: $ \, \color{blue}{ 81w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$. | 10 |
| 74 | Subtract polynomials: $ \, \color{blue}{ 9q^4+2q^2-4 } \, $ , $ \, \color{orangered}{ q^3+8q^2-5 }$. | 10 |
| 75 | Subtract polynomials: $ \, \color{blue}{ 8x^3-10x^2+30 } \, $ , $ \, \color{orangered}{ 4x^3-7x^2-6 }$. | 10 |
| 76 | Subtract polynomials: $ \, \color{blue}{ x^2+8x } \, $ , $ \, \color{orangered}{ -3x^2-3x-7 }$. | 9 |
| 77 | Add $ \, \color{blue}{ 4r^2-4r-8 } \, $ and $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 9 |
| 78 | Multiply polynomial $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ by $ \, \color{orangered}{ -11c^2-15 }$. | 9 |
| 79 | Subtract polynomials: $ \, \color{blue}{ -2v^2-8v-7 } \, $ , $ \, \color{orangered}{ -4v+8 }$. | 9 |
| 80 | Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ x^2+2x-5 }$. | 9 |
| 81 | Add $ \, \color{blue}{ n^2+6n+7 } \, $ and $ \, \color{orangered}{ n^2+6n+9 }$. | 9 |
| 82 | Multiply polynomial $ \, \color{blue}{ 3x-2x+x-1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 9 |
| 83 | Multiply polynomial $ \, \color{blue}{ 9026 } \, $ by $ \, \color{orangered}{ -9005 }$. | 9 |
| 84 | Add $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ and $ \, \color{orangered}{ -12+5x+6x^2 }$. | 9 |
| 85 | Multiply polynomial $ \, \color{blue}{ 4-5m } \, $ by $ \, \color{orangered}{ 4-5m }$. | 9 |
| 86 | Add $ \, \color{blue}{ 6+7q^3-3q^4 } \, $ and $ \, \color{orangered}{ 9q^4+2q^2-4 }$. | 8 |
| 87 | Multiply polynomial $ \, \color{blue}{ 5x+9 } \, $ by $ \, \color{orangered}{ 5x+11 }$. | 8 |
| 88 | Add $ \, \color{blue}{ -3a^3-4a^2-9a } \, $ and $ \, \color{orangered}{ -8a^3-9a+5 }$. | 8 |
| 89 | Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ 2x^2+4x-3 }$. | 8 |
| 90 | Multiply polynomial $ \, \color{blue}{ 31y-140y } \, $ by $ \, \color{orangered}{ 14y-64y }$. | 8 |
| 91 | Subtract polynomials: $ \, \color{blue}{ y^2+2y } \, $ , $ \, \color{orangered}{ y^2+5y+8 }$. | 8 |
| 92 | Multiply polynomial $ \, \color{blue}{ 4x^2+6 } \, $ by $ \, \color{orangered}{ 2x^2-2 }$. | 8 |
| 93 | Multiply polynomial $ \, \color{blue}{ -8-6i } \, $ by $ \, \color{orangered}{ -8+6i }$. | 7 |
| 94 | Multiply polynomial $ \, \color{blue}{ 6x^4+4x^3+2x^2+x-2 } \, $ by $ \, \color{orangered}{ 3x^2+x-1 }$. | 7 |
| 95 | Multiply polynomial $ \, \color{blue}{ 4b^2 } \, $ by $ \, \color{orangered}{ 4b^2+2-2b }$. | 7 |
| 96 | Multiply polynomial $ \, \color{blue}{ 10x^2-4+3 } \, $ by $ \, \color{orangered}{ 7x^2-3x+13 }$. | 7 |
| 97 | Add $ \, \color{blue}{ x^2-8 } \, $ and $ \, \color{orangered}{ -4x+3x^2-10 }$. | 7 |
| 98 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 7 |
| 99 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x } \, $ , $ \, \color{orangered}{ -9x^2-10x }$. | 7 |
| 100 | Multiply polynomial $ \, \color{blue}{ 1+4i } \, $ by $ \, \color{orangered}{ 1-4i }$. | 6 |
