Question
Factor polynomial $$ 2m^{3}+5mn+2m^{2}+5n $$
Answer
$$ 2m^{3}+5mn+2m^{2}+5n = (m+1)(2m^{2}+5n) $$
Explanation
To factor $ 2m^3+5mn+2m^2+5n $ we can use factoring by grouping.
Group $ \color{blue}{ 2m^3 }$ with $ \color{blue}{ 5mn }$ and $ \color{red}{ 2m^2 }$ with $ \color{red}{ 5n }$ then factor each group.
$$ \begin{aligned} 2m^3+5mn+2m^2+5n &= ( \color{blue}{ 2m^3+5mn } ) + ( \color{red}{ 2m^2+5n }) = \\ &= \color{blue}{ m( 2m^2+5n )} + \color{red}{ 1( 2m^2+5n ) } = \\ &= (m+1)(2m^2+5n) \end{aligned} $$This page was created using
Polynomial Factoring Calculator