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 | Subtract polynomials: $ \, \color{blue}{ x^4+2x^3+8x^2 } \, $ , $ \, \color{orangered}{ 6x+x^4-5x^3 }$. | 1 |
| 2002 | Multiply polynomial $ \, \color{blue}{ x^6+7x^5+2x^4+9x^3+10x^2+12x+15 } \, $ by $ \, \color{orangered}{ x^6+9x^5+8x^4+9x^3+12x^2+15x+20 }$. | 1 |
| 2003 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ s^5+41s^4+613s^3+3975s^2+9450s }$. | 1 |
| 2004 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ s^9+58s^8+1409s^7+18678s^6+146995s^5+696614s^4+1907795s^3+2663850s^2+1323000s }$. | 1 |
| 2005 | Add $ \, \color{blue}{ 20s^9+1020s^8+21900s^7+265620s^6+2009360s^5+9730880s^4+s^3+s^2+s+24883200 } \, $ and $ \, \color{orangered}{ -s^9-58s^8-1409s^7-18678s^6-146995s^5-696614s^4-1907795s^3-2663850s^2-1323000s }$. | 1 |
| 2006 | Multiply polynomial $ \, \color{blue}{ s^4+17s^3+99s^2+223s+140 } \, $ by $ \, \color{orangered}{ 20s^4+380s^3+2480s^2+6480s+576020s^4+380s^3+2480s^2+6480s+5760 }$. | 1 |
| 2007 | Add $ \, \color{blue}{ 3x^2+x-4 } \, $ and $ \, \color{orangered}{ 4x^2-8 }$. | 1 |
| 2008 | Add $ \, \color{blue}{ x-6 } \, $ and $ \, \color{orangered}{ 3x^2 }$. | 1 |
| 2009 | Add $ \, \color{blue}{ -n^4+6n^2-2 } \, $ and $ \, \color{orangered}{ 4n^2+7+2n^4 }$. | 1 |
| 2010 | Multiply polynomial $ \, \color{blue}{ 2n+6 } \, $ by $ \, \color{orangered}{ -6n^2-5n+5 }$. | 1 |
| 2011 | Subtract polynomials: $ \, \color{blue}{ 8x+5 } \, $ , $ \, \color{orangered}{ 3x^2+4x-3 }$. | 1 |
| 2012 | Multiply polynomial $ \, \color{blue}{ 2x+5 } \, $ by $ \, \color{orangered}{ x-4 }$. | 1 |
| 2013 | Add $ \, \color{blue}{ 2x^3-5x+3x-9 } \, $ and $ \, \color{orangered}{ x^3+6x^2+11 }$. | 1 |
| 2014 | Multiply polynomial $ \, \color{blue}{ x+3 } \, $ by $ \, \color{orangered}{ x+3 }$. | 1 |
| 2015 | Subtract polynomials: $ \, \color{blue}{ 4k^2+9k-12 } \, $ , $ \, \color{orangered}{ 5k^2-k+3 }$. | 1 |
| 2016 | Add $ \, \color{blue}{ 4x^3+15x^2+2x-21 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2017 | Add $ \, \color{blue}{ x^{15}-1 } \, $ and $ \, \color{orangered}{ x^2+x }$. | 1 |
| 2018 | Subtract polynomials: $ \, \color{blue}{ x^{15}-1 } \, $ , $ \, \color{orangered}{ x^2+x }$. | 1 |
| 2019 | Add $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ and $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 1 |
| 2020 | Multiply polynomial $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ x^5+2x^2-4x+4 }$. | 1 |
| 2021 | Multiply polynomial $ \, \color{blue}{ x^5-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ 2x^2-4x+4 }$. | 1 |
| 2022 | Multiply polynomial $ \, \color{blue}{ x^3-3x^2-4x+7 } \, $ by $ \, \color{orangered}{ 2x^2-4x+4 }$. | 1 |
| 2023 | Multiply polynomial $ \, \color{blue}{ -3x^2-4x+7 } \, $ by $ \, \color{orangered}{ 2x^2-4x+4 }$. | 1 |
| 2024 | Multiply polynomial $ \, \color{blue}{ x+5 } \, $ by $ \, \color{orangered}{ x-14 }$. | 1 |
| 2025 | Multiply polynomial $ \, \color{blue}{ 628 } \, $ by $ \, \color{orangered}{ 45 }$. | 1 |
| 2026 | Multiply polynomial $ \, \color{blue}{ s^2+3 } \, $ by $ \, \color{orangered}{ s^2+4s-2 }$. | 1 |
| 2027 | Multiply polynomial $ \, \color{blue}{ -10x^5+5x^3+6 } \, $ by $ \, \color{orangered}{ 4x^3+2x }$. | 1 |
| 2028 | Add $ \, \color{blue}{ 22 } \, $ and $ \, \color{orangered}{ 246 }$. | 1 |
| 2029 | Add $ \, \color{blue}{ 44 } \, $ and $ \, \color{orangered}{ 55 }$. | 1 |
| 2030 | Subtract polynomials: $ \, \color{blue}{ 55 } \, $ , $ \, \color{orangered}{ 5 }$. | 1 |
| 2031 | Subtract polynomials: $ \, \color{blue}{ 5555 } \, $ , $ \, \color{orangered}{ 5 }$. | 1 |
| 2032 | Subtract polynomials: $ \, \color{blue}{ 55554444 } \, $ , $ \, \color{orangered}{ 55555 }$. | 1 |
| 2033 | Add $ \, \color{blue}{ 3 } \, $ and $ \, \color{orangered}{ 5 }$. | 1 |
| 2034 | Multiply polynomial $ \, \color{blue}{ 5 } \, $ by $ \, \color{orangered}{ 7 }$. | 1 |
| 2035 | Subtract polynomials: $ \, \color{blue}{ 30 } \, $ , $ \, \color{orangered}{ 20 }$. | 1 |
| 2036 | Add $ \, \color{blue}{ -x+6 } \, $ and $ \, \color{orangered}{ x^2 }$. | 1 |
| 2037 | Multiply polynomial $ \, \color{blue}{ x^2-4x+5 } \, $ by $ \, \color{orangered}{ x^3-6x^2+12x-8 }$. | 1 |
| 2038 | Multiply polynomial $ \, \color{blue}{ 5616x^3 } \, $ by $ \, \color{orangered}{ 27027x^3 }$. | 1 |
| 2039 | Multiply polynomial $ \, \color{blue}{ x^4-x^3+3x^2-4x+2 } \, $ by $ \, \color{orangered}{ x^4+2x^3-4x^2+2x+3 }$. | 1 |
| 2040 | Multiply polynomial $ \, \color{blue}{ x^2-4x+2 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 1 |
| 2041 | Multiply polynomial $ \, \color{blue}{ x^4+x^3+x^2-4x+2 } \, $ by $ \, \color{orangered}{ x^2+2x+3 }$. | 1 |
| 2042 | Add $ \, \color{blue}{ 60 } \, $ and $ \, \color{orangered}{ 2x+5 }$. | 1 |
| 2043 | Add $ \, \color{blue}{ 2024 } \, $ and $ \, \color{orangered}{ 28 }$. | 1 |
| 2044 | Subtract polynomials: $ \, \color{blue}{ 6x^2-4x+18 } \, $ , $ \, \color{orangered}{ 2x^2-9x+3 }$. | 1 |
| 2045 | Subtract polynomials: $ \, \color{blue}{ 9x^2-3x+7 } \, $ , $ \, \color{orangered}{ 3x^2-4x-2 }$. | 1 |
| 2046 | Multiply polynomial $ \, \color{blue}{ 3x-9 } \, $ by $ \, \color{orangered}{ 3x+9 }$. | 1 |
| 2047 | Add $ \, \color{blue}{ 7x^2+8x-5 } \, $ and $ \, \color{orangered}{ 3x^2-4x+9 }$. | 1 |
| 2048 | Add $ \, \color{blue}{ 2x^6-3x^2+7 } \, $ and $ \, \color{orangered}{ 2x^3+3x-1 }$. | 1 |
| 2049 | Multiply polynomial $ \, \color{blue}{ 4x-4 } \, $ by $ \, \color{orangered}{ 3x-2 }$. | 1 |
| 2050 | Multiply polynomial $ \, \color{blue}{ x+4 } \, $ by $ \, \color{orangered}{ x^2+4x+16 }$. | 1 |
