Let p be a prime, F = Zp(t) (the field of quotients of the

Chapter 20, Problem 39E

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Problem 39E

Let p be a prime, F = Zp(t) (the field of quotients of the ring Zp[x]), and f(x) = xp t. Prove that f(x) is irreducible over F and has a multiple zero in .

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