Answer
0 of multiplicity 3, 2 of multiplicity 2
See graph below
Work Step by Step
The question asks for the multiplicity of each zero of P(x) and the graph of P(x)
Given $P(x) = x^3 (x-2)^2$
The power of the root is the multiplicity
So for $x^3 = 0$, the multiplicity is 3
For $(x-2)^2 = 0$, the multiplicity is 2
See graph below.