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 |
| 1 | Add $ \, \color{blue}{ 2a+5 } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 1095 |
| 2 | Multiply polynomial $ \, \color{blue}{ 5a+2 } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 999 |
| 3 | Subtract polynomials: $ \, \color{blue}{ 2x^2+x-3 } \, $ , $ \, \color{orangered}{ x^2-3x+5 }$. | 956 |
| 4 | Multiply polynomial $ \, \color{blue}{ 6x^2+2x } \, $ by $ \, \color{orangered}{ -9x^2-10x }$. | 525 |
| 5 | Multiply polynomial $ \, \color{blue}{ y^2+2y } \, $ by $ \, \color{orangered}{ y^2+5y+8 }$. | 428 |
| 6 | Add $ \, \color{blue}{ 5+7x^3+3x^2 } \, $ and $ \, \color{orangered}{ -12+5x+6x^2 }$. | 386 |
| 7 | Multiply polynomial $ \, \color{blue}{ 2x-5 } \, $ by $ \, \color{orangered}{ x-5 }$. | 378 |
| 8 | Subtract polynomials: $ \, \color{blue}{ 3q^4+3q^3+7q^2+q+9 } \, $ , $ \, \color{orangered}{ 3q^4+q^3+5q^2+q+7 }$. | 305 |
| 9 | Add $ \, \color{blue}{ -3a^3-4a^2-9a } \, $ and $ \, \color{orangered}{ -8a^3-9a+5 }$. | 289 |
| 10 | Add $ \, \color{blue}{ 2x^3-2x-3 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 278 |
| 11 | Subtract polynomials: $ \, \color{blue}{ 3a-4a } \, $ , $ \, \color{orangered}{ 6a-12a }$. | 277 |
| 12 | Add $ \, \color{blue}{ 5p^2-3 } \, $ and $ \, \color{orangered}{ 2p^2-3p^3 }$. | 266 |
| 13 | Add $ \, \color{blue}{ x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 262 |
| 14 | Subtract polynomials: $ \, \color{blue}{ 4r^2-4r-8 } \, $ , $ \, \color{orangered}{ 9r^3-5r^2-9r+7 }$. | 191 |
| 15 | Add $ \, \color{blue}{ 10a } \, $ and $ \, \color{orangered}{ 4a-3 }$. | 174 |
| 16 | Subtract polynomials: $ \, \color{blue}{ 2x^3-3 } \, $ , $ \, \color{orangered}{ x^2-15x }$. | 166 |
| 17 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 5x+1 }$. | 145 |
| 18 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 144 |
| 19 | Add $ \, \color{blue}{ -q+4 } \, $ and $ \, \color{orangered}{ 7q^3-4q^2+8q+5 }$. | 140 |
| 20 | Multiply polynomial $ \, \color{blue}{ 10a } \, $ by $ \, \color{orangered}{ 2a-3 }$. | 134 |
| 21 | Multiply polynomial $ \, \color{blue}{ 3x-2x+x-1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 127 |
| 22 | Subtract polynomials: $ \, \color{blue}{ -12x+x-6 } \, $ , $ \, \color{orangered}{ 8x-6x-4 }$. | 124 |
| 23 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x-1 }$. | 115 |
| 24 | Add $ \, \color{blue}{ 3x^2-x+1 } \, $ and $ \, \color{orangered}{ 15-9x-2x^2 }$. | 110 |
| 25 | Multiply polynomial $ \, \color{blue}{ 2x } \, $ by $ \, \color{orangered}{ 3x^2-4x }$. | 103 |
| 26 | Subtract polynomials: $ \, \color{blue}{ 7b^2+6b-7 } \, $ , $ \, \color{orangered}{ 4b^2-2 }$. | 100 |
| 27 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 3x+4 }$. | 97 |
| 28 | Subtract polynomials: $ \, \color{blue}{ 8x^3-10x^2+30 } \, $ , $ \, \color{orangered}{ 4x^3-7x^2-6 }$. | 93 |
| 29 | Multiply polynomial $ \, \color{blue}{ -4x^2-5x-1 } \, $ by $ \, \color{orangered}{ 4x^2-6x-2 }$. | 93 |
| 30 | Multiply polynomial $ \, \color{blue}{ 2x^3-2x-3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 93 |
| 31 | Multiply polynomial $ \, \color{blue}{ 3x-5 } \, $ by $ \, \color{orangered}{ 2x+2 }$. | 83 |
| 32 | Multiply polynomial $ \, \color{blue}{ -5m+2 } \, $ by $ \, \color{orangered}{ -5m+2 }$. | 79 |
| 33 | Subtract polynomials: $ \, \color{blue}{ x^2+8x } \, $ , $ \, \color{orangered}{ -3x^2-3x-7 }$. | 79 |
| 34 | Multiply polynomial $ \, \color{blue}{ -8-6i } \, $ by $ \, \color{orangered}{ -8+6i }$. | 76 |
| 35 | Multiply polynomial $ \, \color{blue}{ 2x+4 } \, $ by $ \, \color{orangered}{ x-3 }$. | 76 |
| 36 | Subtract polynomials: $ \, \color{blue}{ 7f^2-f } \, $ , $ \, \color{orangered}{ -4f+5 }$. | 75 |
| 37 | Add $ \, \color{blue}{ -4x^2+4x } \, $ and $ \, \color{orangered}{ -6x^2-8 }$. | 74 |
| 38 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x^2 }$. | 74 |
| 39 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 73 |
| 40 | Subtract polynomials: $ \, \color{blue}{ 10x^2-4+3 } \, $ , $ \, \color{orangered}{ 7x^2-3x+13 }$. | 68 |
| 41 | Subtract polynomials: $ \, \color{blue}{ 9q^4+2q^2-4 } \, $ , $ \, \color{orangered}{ q^3+8q^2-5 }$. | 66 |
| 42 | Multiply polynomial $ \, \color{blue}{ 6x^2+3x+1 } \, $ by $ \, \color{orangered}{ -19x^2-2 }$. | 66 |
| 43 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 64 |
| 44 | Multiply polynomial $ \, \color{blue}{ 4x-3 } \, $ by $ \, \color{orangered}{ x+6 }$. | 64 |
| 45 | Multiply polynomial $ \, \color{blue}{ 10x^2-4+3 } \, $ by $ \, \color{orangered}{ 7x^2-3x+13 }$. | 57 |
| 46 | Multiply polynomial $ \, \color{blue}{ 2y^2 } \, $ by $ \, \color{orangered}{ 5y^2-5y+2 }$. | 54 |
| 47 | Subtract polynomials: $ \, \color{blue}{ -8n^4+n^3-n^2-n-2 } \, $ , $ \, \color{orangered}{ -2n^4+5n^3-6n^2 }$. | 52 |
| 48 | Add $ \, \color{blue}{ 3x-4 } \, $ and $ \, \color{orangered}{ 5+3x-4x }$. | 48 |
| 49 | Subtract polynomials: $ \, \color{blue}{ 3q^2+5q } \, $ , $ \, \color{orangered}{ 6q^2+8q+9 }$. | 46 |
| 50 | Multiply polynomial $ \, \color{blue}{ x^2-x+3 } \, $ by $ \, \color{orangered}{ 2x^2+4x-3 }$. | 44 |
