If $A=\left\{x ; x^{3}-3 x^{2}+2 x=0\right\}, B=\left\{x ; x^{2}-2 x=0\right\}$ then $A \cup B$ is
\boxed{A \cup B = \{0, 1, 2\}}
Step 1 :Solve the equations: \(x^3 - 3x^2 + 2x = 0\) and \(x^2 - 2x = 0\) to find the elements of sets A and B
Step 2 :A = \{0, 1, 2\}, B = \{0, 2\}
Step 3 :\boxed{A \cup B = \{0, 1, 2\}}