Factor polynomial $$ 15w^{3}-6w^{2}-50w+20 $$
Answer
$$ 15w^{3}-6w^{2}-50w+20 = ( 3w^{2}-10 )( 5w-2 ) $$
Explanation
To factor $ 15w^{3}-6w^{2}-50w+20 $ we can use factoring by grouping:
Group $ \color{blue}{ 15x^{3} }$ with $ \color{blue}{ -6x^{2} }$ and $ \color{red}{ -50x }$ with $ \color{red}{ 20 }$ then factor each group.
$$ \begin{aligned} 15w^{3}-6w^{2}-50w+20 = ( \color{blue}{ 15x^{3}-6x^{2} } ) + ( \color{red}{ -50x+20 }) &= \\ &= \color{blue}{ 3x^{2}( 5x-2 )} + \color{red}{ -10( 5x-2 ) } = \\ &= (3x^{2}-10)(5x-2) \end{aligned} $$This page was created using
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