Question
Factor polynomial $$ 40n^{3}+56n^{2}+5n+7 $$
Answer
$$ 40n^{3}+56n^{2}+5n+7 = ( 8n^{2}+1 )( 5n+7 ) $$
Explanation
To factor $ 40n^{3}+56n^{2}+5n+7 $ we can use factoring by grouping:
Group $ \color{blue}{ 40x^{3} }$ with $ \color{blue}{ 56x^{2} }$ and $ \color{red}{ 5x }$ with $ \color{red}{ 7 }$ then factor each group.
$$ \begin{aligned} 40n^{3}+56n^{2}+5n+7 = ( \color{blue}{ 40x^{3}+56x^{2} } ) + ( \color{red}{ 5x+7 }) &= \\ &= \color{blue}{ 8x^{2}( 5x+7 )} + \color{red}{ 1( 5x+7 ) } = \\ &= (8x^{2}+1)(5x+7) \end{aligned} $$This page was created using
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