Answer
(x+6)(2x+1)
Work Step by Step
You are given $2x^{2}$+13x+6. Factor it out:
$2x^{2}$+1x+12x+6-break out the middle value-
($2x ^{2}$+x)+(12x+6) -group the first two and last two terms-
x(2x+1)+6(2x+1) -Find the GCF of each grouping-
(x+6)(2x+1) -factor out the common term-
=(x+6)(2x+1)