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 |
| 2001 | Add $ \, \color{blue}{ -9x^2-7x-6 } \, $ and $ \, \color{orangered}{ 4x^2+2x+7 }$. | 1 |
| 2002 | Add $ \, \color{blue}{ x^2+2x+8 } \, $ and $ \, \color{orangered}{ -x^2-3x-7 }$. | 1 |
| 2003 | Subtract polynomials: $ \, \color{blue}{ -x^2-3x+3 } \, $ , $ \, \color{orangered}{ -x^2-9x+6 }$. | 1 |
| 2004 | Subtract polynomials: $ \, \color{blue}{ 4x^2-10x } \, $ , $ \, \color{orangered}{ 2x^2+5x-5 }$. | 1 |
| 2005 | Add $ \, \color{blue}{ 4x^2-10x } \, $ and $ \, \color{orangered}{ 2x^2+5x-5 }$. | 1 |
| 2006 | Add $ \, \color{blue}{ -x^2-5x } \, $ and $ \, \color{orangered}{ -6x^2+5x+6 }$. | 1 |
| 2007 | Subtract polynomials: $ \, \color{blue}{ -x^2-5x } \, $ , $ \, \color{orangered}{ -6x^2+5x+6 }$. | 1 |
| 2008 | Subtract polynomials: $ \, \color{blue}{ -x^2-4x+1 } \, $ , $ \, \color{orangered}{ 2x^2+9 }$. | 1 |
| 2009 | Multiply polynomial $ \, \color{blue}{ x^2-x+1 } \, $ by $ \, \color{orangered}{ x^2+x+8 }$. | 1 |
| 2010 | Multiply polynomial $ \, \color{blue}{ -3x+4 } \, $ by $ \, \color{orangered}{ 3x-5 }$. | 1 |
| 2011 | Add $ \, \color{blue}{ 2-4 } \, $ and $ \, \color{orangered}{ 2-4 }$. | 1 |
| 2012 | Multiply polynomial $ \, \color{blue}{ 4-2 } \, $ by $ \, \color{orangered}{ 4-2 }$. | 1 |
| 2013 | Multiply polynomial $ \, \color{blue}{ 4m-9 } \, $ by $ \, \color{orangered}{ 3m-7 }$. | 1 |
| 2014 | Add $ \, \color{blue}{ 3x^3-x+4 } \, $ and $ \, \color{orangered}{ x^2-5x-5 }$. | 1 |
| 2015 | Add $ \, \color{blue}{ 4x^2-x-7 } \, $ and $ \, \color{orangered}{ 2x^3+6x^2-11 }$. | 1 |
| 2016 | Add $ \, \color{blue}{ 3x^3+2x^2-5x } \, $ and $ \, \color{orangered}{ 4x^2-7x+5 }$. | 1 |
| 2017 | Add $ \, \color{blue}{ 2x^3-x+4 } \, $ and $ \, \color{orangered}{ 5x^2-6x-5 }$. | 1 |
| 2018 | Multiply polynomial $ \, \color{blue}{ 2x^5+x^4+x^3-2x-3 } \, $ by $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2019 | Subtract polynomials: $ \, \color{blue}{ 3x^2+7x-4 } \, $ , $ \, \color{orangered}{ 8x^2-6x+2 }$. | 1 |
| 2020 | Subtract polynomials: $ \, \color{blue}{ b^2+8b-9 } \, $ , $ \, \color{orangered}{ 11b^2-4b+7 }$. | 1 |
| 2021 | Add $ \, \color{blue}{ 3x+4+2x-6-x } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2022 | Multiply polynomial $ \, \color{blue}{ 3y } \, $ by $ \, \color{orangered}{ 4y^2+2y-5y+2 }$. | 1 |
| 2023 | Add $ \, \color{blue}{ 8x } \, $ and $ \, \color{orangered}{ 3x }$. | 1 |
| 2024 | Subtract polynomials: $ \, \color{blue}{ 20x+40 } \, $ , $ \, \color{orangered}{ -66x^2-46x-62 }$. | 1 |
| 2025 | Multiply polynomial $ \, \color{blue}{ 7x^2 } \, $ by $ \, \color{orangered}{ -9x^6-3x^{12}-9x^{15} }$. | 1 |
| 2026 | Subtract polynomials: $ \, \color{blue}{ -29x^2+350x+35000 } \, $ , $ \, \color{orangered}{ 260x+1180 }$. | 1 |
| 2027 | Multiply polynomial $ \, \color{blue}{ 2x-6 } \, $ by $ \, \color{orangered}{ 2x-3x+6 }$. | 1 |
| 2028 | Subtract polynomials: $ \, \color{blue}{ -5x^2-9x-5 } \, $ , $ \, \color{orangered}{ 4x^2-5x+3 }$. | 1 |
| 2029 | Add $ \, \color{blue}{ 4x-3x+1 } \, $ and $ \, \color{orangered}{ 7x^2+10x+8 }$. | 1 |
| 2030 | Subtract polynomials: $ \, \color{blue}{ 10x^3+13x^2-8 } \, $ , $ \, \color{orangered}{ 6x^3-5x^2+13 }$. | 1 |
| 2031 | Multiply polynomial $ \, \color{blue}{ x-4 } \, $ by $ \, \color{orangered}{ 2x-2 }$. | 1 |
| 2032 | Subtract polynomials: $ \, \color{blue}{ -4x^2-7 } \, $ , $ \, \color{orangered}{ 9x^2+4x }$. | 1 |
| 2033 | Multiply polynomial $ \, \color{blue}{ x^2+4x-7 } \, $ by $ \, \color{orangered}{ x-3 }$. | 1 |
| 2034 | Multiply polynomial $ \, \color{blue}{ x^2+2x-1 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2035 | Multiply polynomial $ \, \color{blue}{ x^2+5x-3 } \, $ by $ \, \color{orangered}{ x^2-2 }$. | 1 |
| 2036 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ -10x+350 }$. | 1 |
| 2037 | Multiply polynomial $ \, \color{blue}{ 22x^5-67x^4+5x^3-72x^2+87x-99 } \, $ by $ \, \color{orangered}{ 76x^5+25x^4-30x^3+42x^2-2x+18 }$. | 1 |
| 2038 | Subtract polynomials: $ \, \color{blue}{ 7x^2-2x } \, $ , $ \, \color{orangered}{ 4x+5 }$. | 1 |
| 2039 | Subtract polynomials: $ \, \color{blue}{ 7x^2-2x } \, $ , $ \, \color{orangered}{ -4x+5 }$. | 1 |
| 2040 | Multiply polynomial $ \, \color{blue}{ 16x^2+4x } \, $ by $ \, \color{orangered}{ 4x }$. | 1 |
| 2041 | Multiply polynomial $ \, \color{blue}{ 1-2x } \, $ by $ \, \color{orangered}{ -2x }$. | 1 |
| 2042 | Multiply polynomial $ \, \color{blue}{ 6x^2-3x } \, $ by $ \, \color{orangered}{ 3x }$. | 1 |
| 2043 | Add $ \, \color{blue}{ 3x^2+17x } \, $ and $ \, \color{orangered}{ 12x^2-3x }$. | 1 |
| 2044 | Subtract polynomials: $ \, \color{blue}{ -3x-12 } \, $ , $ \, \color{orangered}{ -9x-6 }$. | 1 |
| 2045 | Add $ \, \color{blue}{ 6x^2+2x-2 } \, $ and $ \, \color{orangered}{ -7x^2+4x+13 }$. | 1 |
| 2046 | Add $ \, \color{blue}{ 6x^2+2x-2 } \, $ and $ \, \color{orangered}{ -7x^2+4x+11 }$. | 1 |
| 2047 | Subtract polynomials: $ \, \color{blue}{ 3x^3+9x+7 } \, $ , $ \, \color{orangered}{ 2x^2+4x+13 }$. | 1 |
| 2048 | Subtract polynomials: $ \, \color{blue}{ 3x^2+9x+7 } \, $ , $ \, \color{orangered}{ 2x^2-4x+13 }$. | 1 |
| 2049 | Subtract polynomials: $ \, \color{blue}{ -14+3x^2+2x } \, $ , $ \, \color{orangered}{ -5x+10-7x^2 }$. | 1 |
| 2050 | Subtract polynomials: $ \, \color{blue}{ 5x^2+3x-2 } \, $ , $ \, \color{orangered}{ 12x^2+8-1 }$. | 1 |
