Answer
(d) $4(x-5)(x+3)$
Work Step by Step
$4x^2-8x-60$
Factor out a four from all the terms:
$4(x^2-2x-15)$
Now factor the terms inside the parentheses by finding two numbers whose product is -15, and sum is -2. These numbers are 3 and -5:
$4(x-5)(x+3)$
This is the most complete factorization of $4x^2-8x-60$