Factor polynomial $$ 7x^{3}+2x^{2}+35x+10 $$
Answer
$$ 7x^{3}+2x^{2}+35x+10 = ( x^{2}+5 )( 7x+2 ) $$
Explanation
To factor $ 7x^{3}+2x^{2}+35x+10 $ we can use factoring by grouping:
Group $ \color{blue}{ 7x^{3} }$ with $ \color{blue}{ 2x^{2} }$ and $ \color{red}{ 35x }$ with $ \color{red}{ 10 }$ then factor each group.
$$ \begin{aligned} 7x^{3}+2x^{2}+35x+10 = ( \color{blue}{ 7x^{3}+2x^{2} } ) + ( \color{red}{ 35x+10 }) &= \\ &= \color{blue}{ x^{2}( 7x+2 )} + \color{red}{ 5( 7x+2 ) } = \\ &= (x^{2}+5)(7x+2) \end{aligned} $$This page was created using
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