Answer
(2k+3)(k-8)
Work Step by Step
You are given $2k^{2}$-13k-24. Factor it out:
$2k^{2}$+3k-16k-24-break out the middle value-
($2k^{2}$+3k)+(-16k-24) -group the first two and last two terms-
k(2k+3)-8(2k+3) -Find the GCF of each grouping-
(k-8)(2k+3) -factor out the common term-
=(2k+3)(k-8)
