Which of the following are the x-intercepts on the graph of the function

shown below?

f (x) = 2 (x+1) (x - 2)

x = - 1 and x = 2

Step-by-step explanation:

Given

f (x) = 2 (x + 1) (x - 2)

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

2 (x + 1) (x - 2) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 2 = 0 ⇒ x = 2