Answer
The zeros are:
0 and 1 (1 has multiplicty 3)
Work Step by Step
Equate each unique factor to zero, then solve each equation:
$x=0 \text{ or } x-1=0
\\x=0 \text{ or } x = 1$.
The factor $(x-1)$ appears three times, so the zero 1 has multiplicity 3.