Factor polynomial $$ 4u^{3}+5u^{2}-24u-30 $$
Answer
$$ 4u^{3}+5u^{2}-24u-30 = ( u^{2}-6 )( 4u+5 ) $$
Explanation
To factor $ 4u^{3}+5u^{2}-24u-30 $ we can use factoring by grouping:
Group $ \color{blue}{ 4x^{3} }$ with $ \color{blue}{ 5x^{2} }$ and $ \color{red}{ -24x }$ with $ \color{red}{ -30 }$ then factor each group.
$$ \begin{aligned} 4u^{3}+5u^{2}-24u-30 = ( \color{blue}{ 4x^{3}+5x^{2} } ) + ( \color{red}{ -24x-30 }) &= \\ &= \color{blue}{ x^{2}( 4x+5 )} + \color{red}{ -6( 4x+5 ) } = \\ &= (x^{2}-6)(4x+5) \end{aligned} $$This page was created using
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