Factor polynomial $$ 42x^{3}+30x^{2}-49x-35 $$
Answer
$$ 42x^{3}+30x^{2}-49x-35 = ( 6x^{2}-7 )( 7x+5 ) $$
Explanation
To factor $ 42x^{3}+30x^{2}-49x-35 $ we can use factoring by grouping:
Group $ \color{blue}{ 42x^{3} }$ with $ \color{blue}{ 30x^{2} }$ and $ \color{red}{ -49x }$ with $ \color{red}{ -35 }$ then factor each group.
$$ \begin{aligned} 42x^{3}+30x^{2}-49x-35 = ( \color{blue}{ 42x^{3}+30x^{2} } ) + ( \color{red}{ -49x-35 }) &= \\ &= \color{blue}{ 6x^{2}( 7x+5 )} + \color{red}{ -7( 7x+5 ) } = \\ &= (6x^{2}-7)(7x+5) \end{aligned} $$This page was created using
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