Find the x-intercepts of f (x) = x2 + 7x + 10.

x = - 5, x = - 2

Step-by-step explanation:

Given

f (x) = x² + 7x + 10

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

x² + 7x + 10 = 0 ← in standard form

(x + 2) (x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 5 = 0 ⇒ x = - 5

The x - intercepts are ( - 5, 0) and ( - 2, 0)