Answer
$(x-6)(4x-3)$
Work Step by Step
$4x^{2}-27x+18=$
... ... Searching for two factors of $ac=+72$ whose sum is $b=-27,$
we find$\qquad-24$ and $-3.$
Rewrite the middle term and factor in pairs:
$=4x^{2}-24x-3x+18=$
$=4x(x-6)-3(x-6)$
= $(x-6)(4x-3)$
