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Answer
The are two distinct real zeros. Their are x = 0 and x = 2
Explanation
[tex] {x}^{4} - 4 {x}^{ 3} + 4 {x}^{2} [/tex]
[tex] {x}^{2} ( {x}^{2} - 4x + 4)[/tex]
[tex] {x}^{2} ( {x - 2})^{2} = 0[/tex]
x=0 or. x=2