Answer
$(a+4b)(2a-3)$.
Work Step by Step
The given polynomial is
$=2a^2+8ab-3a-12b$
Group the terms.
$=(2a^2+8ab)+(-3a-12b)$
Factor each group.
$=2a(a+4b)-3(a+4b)$
Factor out $(a+4b)$.
$=(a+4b)(2a-3)$
Hence, the complete factor of the polynomial is $(a+4b)(2a-3)$.
