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