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Prove or disprove that there exist nonconstant polynomials in Zp[x] that are units if p is prime.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.2: Divisibility And Greatest Common Divisor

Problem 18E

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Prove or disprove that there exist nonconstant polynomials in Z_p[x] that are units if p is prime.

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