Answered: Let p, f, and g be polynomials over the…

Let p, f, and g be polynomials over the field F. Suppose that p is a prime polynomial and that p divides the product fg. Then either pdivides f or p divides g.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.3: Factorization In F [x]

Problem 19E: Prove Theorem Suppose is an irreducible polynomial over the field such that divides a product in...

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Let p, f, and g be polynomials over the field F. Suppose that p is a prime polynomial and that p divides the product fg. Then either pdivides f or p divides g.

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