Answer:
4(x - 5)(x + 3)
Step-by-step explanation:
Given
4x² - 8x - 60 ← factor out 4 from each term
= 4(x² - 2x - 15)
To 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, hence
x² - 2x - 15 = (x - 5)(x + 3) and
4x² - 8x - 60 = 4(x - 5)(x + 3)
