Find the x-intercepts of the quadratic funct
f(x) = x2 – 5x – 14

x = - 2, x = 7

Step-by-step explanation:

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

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0  ⇒ x = 7

x + 2 = 0 ⇒ x = - 2