Answer
$(x+1)(2x+7)$
Work Step by Step
$2x^{2}+9x+7=$
... ... Searching for two factors of $ac=+14$ whose sum is $b=+9,$
we find$\qquad+7$ and $+2.$
Rewrite the middle term and factor in pairs:
=$2x^{2}+2x+7x+7=$
$=2x(x+1)+7(x+1)$
= $(x+1)(2x+7)$
