Answer
$11(7x^{3}+2x^{2}-3x-8)$
Work Step by Step
List factors of each term. Note the common factors.
$77x^{3}=7\cdot(11)\cdot x\cdot x\cdot x$
$22x^{2}=2\cdot(11)\cdot x\cdot x$
$33x=3\cdot(11)\cdot x$
$88=2\cdot 2\cdot 2\cdot(11)$
GCF=$11$.
$77x^{3}+22x^{2}-33x-88$ =
...factor out the GCF from each term.
$=11(7x^{3})+11(2x^{2})-11(3x)-11(8)$
...apply the Distributive Property.
=$11(7x^{3}+2x^{2}-3x-8)$
