Answer
$(z-8k)(z+2k)$
Work Step by Step
Step 1. Find factors of $-16$ as $(-8)(2)$ and the sum of the factors as $-8+2=-6$
Step 2. We have $z^2-6zk-16k^2=(z-8k)(z+2k)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.