Factor polynomial $$ 15x^{4}+20x^{3}-18x-24 $$
Answer
$$ 15x^{4}+20x^{3}-18x-24 = ( 5x^{3}-6 )( 3x+4 ) $$
Explanation
To factor $ 15x^{4}+20x^{3}-18x-24 $ we can use factoring by grouping:
Group $ \color{blue}{ 15x^{4} }$ with $ \color{blue}{ 20x^{3} }$ and $ \color{red}{ -18x }$ with $ \color{red}{ -24 }$ then factor each group.
$$ \begin{aligned} 15x^{4}+20x^{3}-18x-24 = ( \color{blue}{ 15x^{4}+20x^{3} } ) + ( \color{red}{ -18x-24 }) &= \\ &= \color{blue}{ 5x^{3}( 3x+4 )} + \color{red}{ -6( 3x+4 ) } = \\ &= (5x^{3}-6)(3x+4) \end{aligned} $$This page was created using
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