Answer:
4(x + 5)(x - 3)
Step-by-step explanation:
Given
4x² + 8x - 60 ← factor out 4 from each term
= 4(x² + 2x - 15) ← factor the quadratic
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then
x² + 2x - 15 = (x + 5)(x - 3)
Then
4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form
