Calculus and set of zeros help

[priscilla98]

Homework Statement

The set of zeros of f (x) = x^3 + 4x^2 + 4x is

A) {-2}
B) {0, -2}
C) {0, 2}
D) {2}
E) {2, -2}


2. The attempt at a solution

f (x) = x^3 + 4x^2 + 4x
f (x) = (x^2 + 2x)(x + 2)
f (x) = x(x + 2)(x + 2)

x = 0 and x = -2. Is the answer B?

 

[priscilla98]

I would appreciate the help, thanks a lot. I'm pretty sure that the answer is B, if not then you can can correct me.

 

[Mark44]

Yes, the answer is B.

 

[priscilla98]

Ok thanks a lot. Have a good weekend