Question

how to find the zeros of (1/3)x^3(x-4)^2

Answer 1

by inspection x = 0 is one root
as 1/3 x^3 = 0

Answer 2

also (x-4)^2 = 0

so what does that make x?

Answer 3

the concept is if 2 functions multiplied by each other = zero then either can be zero
(1/3)x^3 = 0
or (x-4)^2 = 0