Factor polynomial $$ 11w^{3}-9w^{2}+11w-9 $$
Answer
$$ 11w^{3}-9w^{2}+11w-9 = ( w^{2}+1 )( 11w-9 ) $$
Explanation
To factor $ 11w^{3}-9w^{2}+11w-9 $ we can use factoring by grouping:
Group $ \color{blue}{ 11x^{3} }$ with $ \color{blue}{ -9x^{2} }$ and $ \color{red}{ 11x }$ with $ \color{red}{ -9 }$ then factor each group.
$$ \begin{aligned} 11w^{3}-9w^{2}+11w-9 = ( \color{blue}{ 11x^{3}-9x^{2} } ) + ( \color{red}{ 11x-9 }) &= \\ &= \color{blue}{ x^{2}( 11x-9 )} + \color{red}{ 1( 11x-9 ) } = \\ &= (x^{2}+1)(11x-9) \end{aligned} $$This page was created using
Polynomial Factoring Calculator