Factor polynomial $$ 12x^{3}-14x^{2}-30x+35 $$
Answer
$$ 12x^{3}-14x^{2}-30x+35 = ( 2x^{2}-5 )( 6x-7 ) $$
Explanation
To factor $ 12x^{3}-14x^{2}-30x+35 $ we can use factoring by grouping:
Group $ \color{blue}{ 12x^{3} }$ with $ \color{blue}{ -14x^{2} }$ and $ \color{red}{ -30x }$ with $ \color{red}{ 35 }$ then factor each group.
$$ \begin{aligned} 12x^{3}-14x^{2}-30x+35 = ( \color{blue}{ 12x^{3}-14x^{2} } ) + ( \color{red}{ -30x+35 }) &= \\ &= \color{blue}{ 2x^{2}( 6x-7 )} + \color{red}{ -5( 6x-7 ) } = \\ &= (2x^{2}-5)(6x-7) \end{aligned} $$This page was created using
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