Answer:
(-10, 0) and (6, 0).
Step-by-step explanation:
Set f(x) = x² + 4x - 60 = to 0 and solve for x to answer this question.
Using "completing the square" to find the roots:
f(x) = x² + 4x - 60 = 0
= x² + 4x + 4 - 4 - 64 = 0
Rewriting x² + 4x + 4 as the square of a binomial, we get:
f(x) = (x + 2)² - 4 - 60 = 0, or
(x + 2)² = 64
Taking the square root of both sides, we get:
x + 2 = ±√64 = ±√64 = ±8
Then x = -2 + 8, or 6, and x = -2 - 8, or -10.
The x-intercepts of this function are (-10, 0) and (6, 0).
