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Let f(x) be polynomial function in field F[x]. f’(x) be the derivative of f(x). Given the...

Let f(x) be polynomial function in field F[x].
f’(x) be the derivative of f(x).
Given the greatest common factor (f(x), f’(x))=1.
And (x-a)|f(x). Show that (x-a)^2 can not divide f(x).

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