Answer
(3d+2)(d+7)
Work Step by Step
You are given $3d^{2}$+23d+14. Factor it out:
$3d^{2}$+21d+2d+14-break out the middle value-
($3d ^{2}$+21d)+(2d+14) -group the first two and last two terms-
3d(d+7)+2(d+7) -Find the GCF of each grouping's-
(3d+2)(d+7) -factor out the common term-
=(d+7)(3d+2)