Answer
Yes, factoring by grouping would be used here.
Please see details below.
Work Step by Step
We would try rewriting the middle term
by first finding factors of $4\cdot 15$ whose sum is 23.
Factors of $60$ with a sum of $23$, ... are $20$ and $3$.
$...=4w^{2}+20w+3w+15$
By factoring each group, the same factor would appear in both pairs of terms, $w+5$.
So, yes, we would factor this polynomial by grouping.
