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