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 | Multiply polynomial $ \, \color{blue}{ 4x^3-3x-1 } \, $ by $ \, \color{orangered}{ x-1 }$. | 1 |
| 2002 | Add $ \, \color{blue}{ -7x^{10}+2x^6-3x^3 } \, $ and $ \, \color{orangered}{ 2x^{10}-x^6+x^3 }$. | 1 |
| 2003 | Multiply polynomial $ \, \color{blue}{ 3x+8 } \, $ by $ \, \color{orangered}{ 2x^2-3x+3 }$. | 1 |
| 2004 | Add $ \, \color{blue}{ 4p^2-9p+11 } \, $ and $ \, \color{orangered}{ p^2-5p+4 }$. | 1 |
| 2005 | Subtract polynomials: $ \, \color{blue}{ x^6+x^4+3x } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2006 | Subtract polynomials: $ \, \color{blue}{ x^6+x^4+3x } \, $ , $ \, \color{orangered}{ x^3+x+1 }$. | 1 |
| 2007 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x+2 }$. | 1 |
| 2008 | Multiply polynomial $ \, \color{blue}{ x-2 } \, $ by $ \, \color{orangered}{ x^2-5x+3 }$. | 1 |
| 2009 | Multiply polynomial $ \, \color{blue}{ 4x-9 } \, $ by $ \, \color{orangered}{ 7x+4 }$. | 1 |
| 2010 | Multiply polynomial $ \, \color{blue}{ 7k-6 } \, $ by $ \, \color{orangered}{ k+7 }$. | 1 |
| 2011 | Multiply polynomial $ \, \color{blue}{ x-1 } \, $ by $ \, \color{orangered}{ 11x-3 }$. | 1 |
| 2012 | Subtract polynomials: $ \, \color{blue}{ 6x^2+2x^3 } \, $ , $ \, \color{orangered}{ -x^2-6x^3-3x }$. | 1 |
| 2013 | Multiply polynomial $ \, \color{blue}{ 3x+4 } \, $ by $ \, \color{orangered}{ 2x-6-x }$. | 1 |
| 2014 | Subtract polynomials: $ \, \color{blue}{ x^2+8-4x } \, $ , $ \, \color{orangered}{ 8+x^2-7x }$. | 1 |
| 2015 | Multiply polynomial $ \, \color{blue}{ -3b^2+4b+5 } \, $ by $ \, \color{orangered}{ -2b-1 }$. | 1 |
| 2016 | Multiply polynomial $ \, \color{blue}{ 2n^2-5n-5 } \, $ by $ \, \color{orangered}{ 3n-3 }$. | 1 |
| 2017 | Add $ \, \color{blue}{ 3x^4-8x } \, $ and $ \, \color{orangered}{ 7x-2 }$. | 1 |
| 2018 | Subtract polynomials: $ \, \color{blue}{ 3x^3 } \, $ , $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 2019 | Add $ \, \color{blue}{ 5m^3+3m+5 } \, $ and $ \, \color{orangered}{ 18m^3+10 }$. | 1 |
| 2020 | Multiply polynomial $ \, \color{blue}{ x+9 } \, $ by $ \, \color{orangered}{ x-9 }$. | 1 |
| 2021 | Add $ \, \color{blue}{ -x^2+5x-4 } \, $ and $ \, \color{orangered}{ 8x-3x^2+9 }$. | 1 |
| 2022 | Multiply polynomial $ \, \color{blue}{ x+2 } \, $ by $ \, \color{orangered}{ x^2-5x+4 }$. | 1 |
| 2023 | Multiply polynomial $ \, \color{blue}{ 3x^9+10 } \, $ by $ \, \color{orangered}{ 4x^2-7 }$. | 1 |
| 2024 | Multiply polynomial $ \, \color{blue}{ 10x^3+3x^2-10x-3 } \, $ by $ \, \color{orangered}{ 4x-9 }$. | 1 |
| 2025 | Add $ \, \color{blue}{ 13n^2+11n-2n^4 } \, $ and $ \, \color{orangered}{ -13n^2-3n-6n^4 }$. | 1 |
| 2026 | Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k+6k^3-8k }$. | 1 |
| 2027 | Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k^2+6k^3-8k }$. | 1 |
| 2028 | Add $ \, \color{blue}{ -7x^5+14-2x } \, $ and $ \, \color{orangered}{ 10x^4+7x+5x^5 }$. | 1 |
| 2029 | Subtract polynomials: $ \, \color{blue}{ 8k+k^2-6 } \, $ , $ \, \color{orangered}{ -10k+7-2k^2 }$. | 1 |
| 2030 | Multiply polynomial $ \, \color{blue}{ 3n+11 } \, $ by $ \, \color{orangered}{ -n-6 }$. | 1 |
| 2031 | Multiply polynomial $ \, \color{blue}{ k-3k } \, $ by $ \, \color{orangered}{ 6-5k }$. | 1 |
| 2032 | Subtract polynomials: $ \, \color{blue}{ -4x^2-2 } \, $ , $ \, \color{orangered}{ -9x-6 }$. | 1 |
| 2033 | Multiply polynomial $ \, \color{blue}{ 3x-2 } \, $ by $ \, \color{orangered}{ 4x^2-3x-5 }$. | 1 |
| 2034 | Multiply polynomial $ \, \color{blue}{ x^2-4 } \, $ by $ \, \color{orangered}{ 5x+7 }$. | 1 |
| 2035 | Add $ \, \color{blue}{ 4556 } \, $ and $ \, \color{orangered}{ 5 }$. | 1 |
| 2036 | Multiply polynomial $ \, \color{blue}{ 4556 } \, $ by $ \, \color{orangered}{ 556 }$. | 1 |
| 2037 | Multiply polynomial $ \, \color{blue}{ 327 } \, $ by $ \, \color{orangered}{ 456 }$. | 1 |
| 2038 | Subtract polynomials: $ \, \color{blue}{ 6x^2-4x+9 } \, $ , $ \, \color{orangered}{ -3x-2 }$. | 1 |
| 2039 | Multiply polynomial $ \, \color{blue}{ 3x^2+2x-8 } \, $ by $ \, \color{orangered}{ x^2+x+2 }$. | 1 |
| 2040 | Subtract polynomials: $ \, \color{blue}{ 5x^2-9x-10 } \, $ , $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2041 | Add $ \, \color{blue}{ 5x^2-9x-10 } \, $ and $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 2042 | Subtract polynomials: $ \, \color{blue}{ 2x^3-2x-3 } \, $ , $ \, \color{orangered}{ -6x^2+6x }$. | 1 |
| 2043 | Add $ \, \color{blue}{ 15f-12f+f+6 } \, $ and $ \, \color{orangered}{ -27f+8f+6f-1 }$. | 1 |
| 2044 | Multiply polynomial $ \, \color{blue}{ x^3+512 } \, $ by $ \, \color{orangered}{ x+8 }$. | 1 |
| 2045 | Subtract polynomials: $ \, \color{blue}{ 2x^2+7 } \, $ , $ \, \color{orangered}{ x^2+2x-1 }$. | 1 |
| 2046 | Add $ \, \color{blue}{ -7x^2-7x+5 } \, $ and $ \, \color{orangered}{ 10x+6 }$. | 1 |
| 2047 | Subtract polynomials: $ \, \color{blue}{ 5r^2+8 } \, $ , $ \, \color{orangered}{ 5r^2+1 }$. | 1 |
| 2048 | Multiply polynomial $ \, \color{blue}{ -3x^2+3 } \, $ by $ \, \color{orangered}{ -2x^2 }$. | 1 |
| 2049 | Add $ \, \color{blue}{ 2x^3+7x-4 } \, $ and $ \, \color{orangered}{ 2x^2-8x+1 }$. | 1 |
| 2050 | Add $ \, \color{blue}{ -7x^2-1 } \, $ and $ \, \color{orangered}{ x^2-x-5 }$. | 1 |
