Answer
$3(t^{4}-2t^{3}-3t+4)$
Work Step by Step
$3t^{4}=(3)\cdot t\cdot t\cdot t\cdot t$
$-6t^{3}=-1\cdot(3)\cdot 2\cdot t\cdot t\cdot t$
$-9t=-1\cdot(3)\cdot 3\cdot t$
$12=2\cdot 2\cdot(3)$
GCF=$3$
$3t^{4}-6t^{3}-9t+12=$
...factor out the GCF
$=3(t^{4})+3(-2t^{3})+3(-3t)+3(4)$
$...$apply the Distributive Property.
$=3(t^{4}-2t^{3}-3t+4)$