Operations on polynomials – Solved Problems Database
All the problems and solutions shown below were generated using the Polynomial Operations Calculator.
| ID |
Problem |
Count |
| 1 | Add $ \, \color{blue}{ 2a+5 } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 154 |
| 2 | Multiply polynomial $ \, \color{blue}{ 5a+2 } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 129 |
| 3 | Subtract polynomials: $ \, \color{blue}{ 2x^2+x-3 } \, $ , $ \, \color{orangered}{ x^2-3x+5 }$. | 113 |
| 4 | Add $ \, \color{blue}{ 2x^3-2x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 96 |
| 5 | Add $ \, \color{blue}{ 10a } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 77 |
| 6 | Subtract polynomials: $ \, \color{blue}{ 2x^3-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$. | 74 |
| 7 | Multiply polynomial $ \, \color{blue}{ 10a } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 71 |
| 8 | Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$. | 59 |
| 9 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 50 |
| 10 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 47 |
| 11 | Add $ \, \color{blue}{ 3x^2-x+1 } \, $ and $ \, \color{orangered}{ 15-9x-2x^2 }$. | 46 |
| 12 | Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ 2x^2+4x-3 }$. | 37 |
| 13 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x^2 }$. | 36 |
| 14 | Add $ \, \color{blue}{ -4x^2-5x-1 } \, $ and $ \, \color{orangered}{ 4x^2-6x-2 }$. | 35 |
| 15 | Subtract polynomials: $ \, \color{blue}{ 7b^2+6b-7 } \, $ , $ \, \color{orangered}{ 4b^2-2 }$. | 32 |
| 16 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 3x^2-4x }$. | 31 |
| 17 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 28 |
| 18 | Subtract polynomials: $ \, \color{blue}{ 4r^2-4r-8 } \, $ , $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 27 |
| 19 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 27 |
| 20 | Multiply polynomial $ \, \color{blue}{ y^2+2y } \, $ by $ \, \color{orangered}{ y^2+5y+8 }$. | 27 |
| 21 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x }$. | 23 |
| 22 | Subtract polynomials: $ \, \color{blue}{ 3a-4a } \, $ , $ \, \color{orangered}{ 6a-12a }$. | 23 |
| 23 | Subtract polynomials: $ \, \color{blue}{ 3q^2+5q } \, $ , $ \, \color{orangered}{ 6q^2+8q+9 }$. | 23 |
| 24 | Add $ \, \color{blue}{ 6c^5-2c^4-2 } \, $ and $ \, \color{orangered}{ -11c^2-15 }$. | 21 |
| 25 | Subtract polynomials: $ \, \color{blue}{ 10x^2-4+3 } \, $ , $ \, \color{orangered}{ 7x^2-3x+13 }$. | 21 |
| 26 | Multiply polynomial $ \, \color{blue}{ 2x+3 } \, $ by $ \, \color{orangered}{ 5x-3 }$. | 21 |
| 27 | Subtract polynomials: $ \, \color{blue}{ 7x^4-5x^3+8x^2+9x-13 } \, $ , $ \, \color{orangered}{ 2x^4+6x^3-4x^2-x+4 }$. | 20 |
| 28 | Subtract polynomials: $ \, \color{blue}{ 3u^2 } \, $ , $ \, \color{orangered}{ -15u }$. | 19 |
| 29 | Subtract polynomials: $ \, \color{blue}{ x^2+4x } \, $ , $ \, \color{orangered}{ 2x^2-5x+3 }$. | 18 |
| 30 | Add $ \, \color{blue}{ 7+8i } \, $ and $ \, \color{orangered}{ 2+6i }$. | 18 |
| 31 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 18 |
| 32 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 18 |
| 33 | Multiply polynomial $ \, \color{blue}{ 2u^2+5 } \, $ by $ \, \color{orangered}{ 5u-2u^2+2 }$. | 17 |
| 34 | Add $ \, \color{blue}{ 10x^2-4+3 } \, $ and $ \, \color{orangered}{ 7x^2-3x+13 }$. | 17 |
| 35 | Subtract polynomials: $ \, \color{blue}{ 3q^4+3q^3+7q^2+q+9 } \, $ , $ \, \color{orangered}{ 3q^4+q^3+5q^2+q+7 }$. | 16 |
| 36 | Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 16 |
| 37 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 16 |
| 38 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 5x+1 }$. | 16 |
| 39 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 15 |
| 40 | Add $ \, \color{blue}{ x^2-4x-10 } \, $ and $ \, \color{orangered}{ x^2-9x+3 }$. | 15 |
| 41 | Multiply polynomial $ \, \color{blue}{ -6+7i } \, $ by $ \, \color{orangered}{ 4+2i }$. | 15 |
| 42 | Add $ \, \color{blue}{ 31y-140y } \, $ and $ \, \color{orangered}{ 14y-64y }$. | 15 |
| 43 | Subtract polynomials: $ \, \color{blue}{ -5x^2+6x+6 } \, $ , $ \, \color{orangered}{ 6x^2-5 }$. | 15 |
| 44 | Subtract polynomials: $ \, \color{blue}{ 2p^6-4 } \, $ , $ \, \color{orangered}{ 6p^5+8-p^7 }$. | 14 |
| 45 | Subtract polynomials: $ \, \color{blue}{ 18w+8w+5 } \, $ , $ \, \color{orangered}{ 2w+1 }$. | 14 |
| 46 | Subtract polynomials: $ \, \color{blue}{ 5x+x } \, $ , $ \, \color{orangered}{ 3x+4x }$. | 14 |
| 47 | Multiply polynomial $ \, \color{blue}{ -5m+2 } \, $ by $ \, \color{orangered}{ -5m+2 }$. | 14 |
| 48 | Add $ \, \color{blue}{ -8x^2+3 } \, $ and $ \, \color{orangered}{ x^2+3x-8 }$. | 14 |
| 49 | Subtract polynomials: $ \, \color{blue}{ 7f^2-f } \, $ , $ \, \color{orangered}{ -4f+5 }$. | 13 |
| 50 | Add $ \, \color{blue}{ -q+4 } \, $ and $ \, \color{orangered}{ 7q^3-4q^2+8q+5 }$. | 13 |
