Factor polynomial $$ 15x^{6}-3x^{5}+35x-7 $$
Answer
$$ 15x^{6}-3x^{5}+35x-7 = ( 3x^{5}+7 )( 5x-1 ) $$
Explanation
To factor $ 15x^{6}-3x^{5}+35x-7 $ we can use factoring by grouping:
Group $ \color{blue}{ 15x^{6} }$ with $ \color{blue}{ -3x^{5} }$ and $ \color{red}{ 35x }$ with $ \color{red}{ -7 }$ then factor each group.
$$ \begin{aligned} 15x^{6}-3x^{5}+35x-7 = ( \color{blue}{ 15x^{6}-3x^{5} } ) + ( \color{red}{ 35x-7 }) &= \\ &= \color{blue}{ 3x^{5}( 5x-1 )} + \color{red}{ 7( 5x-1 ) } = \\ &= (3x^{5}+7)(5x-1) \end{aligned} $$This page was created using
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