How would you find the zeros of...?

Question

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

Answer 1

Set each factor equal to zero and solve.
x = 0
x + 2 = 0
or 2x + 3 = 0

So the zeros are x=0, x = -2, and x = -3/2

Answer 2

This is extremely easy, f is a polynomial and is already factored. All you have to do is find the zeros of each factor, that is, solve the simple equations

x = 0
x + 2 = 0
2x + 3 = 0

So, the zeros are 0, -2 and -3/2.