Factor and find the x-intercepts f (x) = x^2 - 3x - 4

see explanation

Step-by-step explanation:

To find the x - intercepts let f (x) = 0, that is

x² - 3x - 4 = 0

Consider the factors of the constant term ( - 4) which sum to give the coefficient of the x - term ( - 3)

The factors are - 4 and + 1, since

- 4 * 1 = - 4 and - 4 + 1 = - 3, thus

(x - 4) (x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 1 = 0 ⇒ x = - 1

x - intercepts are ( - 1, 0) and (4, 0)