Answer
$x(x+7)(2x+5)$
Work Step by Step
$ 2x^{3}+19x^{2}+35x\qquad$...factor out the common term, $x$.
$=x(2x^{2}+19x+35)$
... Searching for two factors of $ac=70$ whose sum is $b=19,$
we find$\qquad 14$ and $5.$
Rewrite the middle term and factor in pairs:
$=x(2x^{2}+14x+5x+35)=$
$=x[2x(x+7)+5(x+7)]$
=$x(x+7)(2x+5)$
