Answer
1. Check for gcf (which is 1).
2. Search for two integer factors of 15, whose sum is 8.
3. Finding 3 and 5, write$:\qquad (x+5)(x+3)$
Work Step by Step
1. The gcf is 1. Nothing to extract (factor out).
2. We want to write the factorization in the form
$(x\pm...)(x\pm...)$, so we search for
two integer factors of 15, whose sum is 8.
... we find 5 and 3, so we write
= $(x+5)(x+3)$