1

Part of 1974 USAMO

Problems(1)

Integer Polynomial with P(a)=b, P(b)=c, and P(c)=a

Source: 1974 USAMO Problem 1

a,b,

c

denote three distinct integers, and let

P

denote a polynomial having integer coefficients. Show that it is impossible that P(a) \equal{} b, P(b) \equal{} c, and P(c) \equal{} a.

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