Question
Factor polynomial $$ 18x^{3}+30x^{2}+3x+5 $$
Answer
$$ 18x^{3}+30x^{2}+3x+5 = ( 6x^{2}+1 )( 3x+5 ) $$
Explanation
To factor $ 18x^{3}+30x^{2}+3x+5 $ we can use factoring by grouping:
Group $ \color{blue}{ 18x^{3} }$ with $ \color{blue}{ 30x^{2} }$ and $ \color{red}{ 3x }$ with $ \color{red}{ 5 }$ then factor each group.
$$ \begin{aligned} 18x^{3}+30x^{2}+3x+5 = ( \color{blue}{ 18x^{3}+30x^{2} } ) + ( \color{red}{ 3x+5 }) &= \\ &= \color{blue}{ 6x^{2}( 3x+5 )} + \color{red}{ 1( 3x+5 ) } = \\ &= (6x^{2}+1)(3x+5) \end{aligned} $$This page was created using
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