Question
Factor polynomial $$ 8u^{3}-24u^{2}+5u-15 $$
Answer
$$ 8u^{3}-24u^{2}+5u-15 = ( 8u^{2}+5 )( u-3 ) $$
Explanation
To factor $ 8u^{3}-24u^{2}+5u-15 $ we can use factoring by grouping:
Group $ \color{blue}{ 8x^{3} }$ with $ \color{blue}{ -24x^{2} }$ and $ \color{red}{ 5x }$ with $ \color{red}{ -15 }$ then factor each group.
$$ \begin{aligned} 8u^{3}-24u^{2}+5u-15 = ( \color{blue}{ 8x^{3}-24x^{2} } ) + ( \color{red}{ 5x-15 }) &= \\ &= \color{blue}{ 8x^{2}( x-3 )} + \color{red}{ 5( x-3 ) } = \\ &= (8x^{2}+5)(x-3) \end{aligned} $$This page was created using
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