Question
Factor polynomial $$ 10x^{3}+8x^{2}+15xy+12y $$
Answer
$$ 10x^{3}+8x^{2}+15xy+12y = (2x^{2}+3y)(5x+4) $$
Explanation
To factor $ 10x^3+8x^2+15xy+12y $ we can use factoring by grouping.
Group $ \color{blue}{ 10x^3 }$ with $ \color{blue}{ 8x^2 }$ and $ \color{red}{ 15xy }$ with $ \color{red}{ 12y }$ then factor each group.
$$ \begin{aligned} 10x^3+8x^2+15xy+12y &= ( \color{blue}{ 10x^3+8x^2 } ) + ( \color{red}{ 15xy+12y }) = \\ &= \color{blue}{ 2x^2( 5x+4 )} + \color{red}{ 3y( 5x+4 ) } = \\ &= (2x^2+3y)(5x+4) \end{aligned} $$This page was created using
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