Factor completely 4x^2-8x-60

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)

The answer is (4) (x-5) (x+3)