Brianna is graphing the function f (x) = x^2+6x+5. what x intercepts should brianna use to graph f (x)

x = - 5, x = - 1

Step-by-step explanation:

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

x² + 6x + 5 = 0 ← in standard form

Consider the factors of the constant term ( + 5) which sum to give the coefficient of the x - term ( + 6)

The factors are + 5 and + 1, since

5 * 1 = 5 and 5 + 1 = + 6, hence

(x + 5) (x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5 ⇒ ( - 5, 0)

x + 1 = 0 ⇒ x = - 1 ⇒ ( - 1, 0)