Factor polynomial $$ 6n^{3}+7n^{2}+6n+7 $$
Answer
$$ 6n^{3}+7n^{2}+6n+7 = ( n^{2}+1 )( 6n+7 ) $$
Explanation
To factor $ 6n^{3}+7n^{2}+6n+7 $ we can use factoring by grouping:
Group $ \color{blue}{ 6x^{3} }$ with $ \color{blue}{ 7x^{2} }$ and $ \color{red}{ 6x }$ with $ \color{red}{ 7 }$ then factor each group.
$$ \begin{aligned} 6n^{3}+7n^{2}+6n+7 = ( \color{blue}{ 6x^{3}+7x^{2} } ) + ( \color{red}{ 6x+7 }) &= \\ &= \color{blue}{ x^{2}( 6x+7 )} + \color{red}{ 1( 6x+7 ) } = \\ &= (x^{2}+1)(6x+7) \end{aligned} $$This page was created using
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