Answer
$(2x^2-9)(x-4)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
2x^3+36-8x^2-9x
,$ is
\begin{array}{l}
2x^3-9x-8x^2+36
\\\\=
(2x^3-9x)-(8x^2-36)
\\\\=
x(2x^2-9)-4(2x^2-9)
\\\\=
(2x^2-9)(x-4)
.\end{array}