Answer
$4p(3p^{3}+4p^{2}+2)$
Work Step by Step
$12p^{4}=(2\cdot 2\cdot p)\cdot p\cdot p\cdot p$
$16p^{3}=2\cdot 2\cdot(2\cdot 2\cdot p)\cdot p\cdot p$
$8p=2\cdot(2\cdot 2\cdot p)$
GCF=$4p$
$12p^{4}+16p^{3}+8p$
$...$factor out the GCF
$=4p(3p^{3})+4p(4p^{2})+4p(2)$
$...$apply the Distributive Property.
$=4p(3p^{3}+4p^{2}+2)$