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  3. 1. (a) let p be a prime. prove that in (z/pz)[x],

1. (a) Let p be a prime. Prove that in (Z/pZ)[x], xp?x= x(x?1)(x?2)···(x?(p?1)). (b) Use your answer...

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Advance Math

1. (a) Let p be a prime. Prove that in (Z/pZ)[x],xp?x= x(x?1)(x?2)···(x?(p?1)).

(b) Use your answer to part (a) to prove that for any prime p,(p?1)!??1 (modp).

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