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