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How many distinct real zeros does the polynomial p(x) = x4 – 4x3 + 4x2 have?

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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

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