Question

Determine the zeros of the function f(x) = (x-2)(x+2)(x + 1)².

a. 2, -1
b. 2, -2, 1
c. 2, 2, 1
d. 2, -2, -1

Please select the best answer from the choices provided
Α
B
C
D

Answer 1

Answer: Choice D

Step-by-step explanation:

Use the zero product property to set each factor equal to zero and solve for x.

• x-2 = 0 leads to x = 2
• x+2 = 0 leads to x = -2
• (x+1)^2 = 0 leads to x+1 = 0 and then x = -1

The three unique roots are: 2, -2, -1

These are the x intercepts. This is where the curve either crosses the x axis or bounces off it.