Answer
$7x(5x^{2}+x+9)$
Work Step by Step
List the factors of each term, note the common factors:
$35x^{3}=5\cdot(7\cdot x)\cdot x\cdot x$
$7x^{2}=(7\cdot x)\cdot x$
$63x=3\cdot 3\cdot(7\cdot x)$
GCF=$(7\cdot x)$, or $7x$.
$35x^{3}+7x^{2}+63x$ = ...factor out the GCF from each term.
$=7x(5x^{2})+7x(x)+7x(9)$
...apply the Distributive Property.
=$7x(5x^{2}+x+9)$
