Consider the quadratic expression given below. 4x^2 + 8x - 60

Factor the following expression completely.

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

answer: 7

step-by-step explanation: