Question

12 multiple answer 3 points
consider the polynomial function: $f(x) = x(x-2)(x+4)^2$
which of the following are zeros of the function?
select all that apply.
-4
x
0
4
2
-2

Explanation:

Step1: Set function equal to 0

$$x(x-2)(x+4)^2 = 0$$

Step2: Solve each factor for x

Set $x=0$; solve $x-2=0 \implies x=2$; solve $(x+4)^2=0 \implies x=-4$

Answer:

-4, 0, 2