Given the function [tex]y=x(x-2)^3[/tex]
The zeros of the function is at the point where y = 0
[tex]x(x-2)^3 =0\\x = 0\\(x-2)^3=0\\x-2=0\\x=2[/tex]
Hence the zeros of the function are 0 and 2
The multiplicity is the power to which the factors are raised. The multiplicities of the function are 1 and 3.
Learn more on zeros and multiplicity here: https://brainly.com/question/11314797