Answer
$(x-6)(2x^2-1)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
2x^3-12x^2-x+6
,$ is
\begin{array}{l}
(2x^3-12x^2)-(x-6)
\\\\=
2x^2(x-6)-(x-6)
\\\\=
(x-6)(2x^2-1)
.\end{array}
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