Let f (x) = 2x + 1 in Z4[x]. Then f (x) has a zero in any ring containingZ4 as a subring.O TrueO False

Let f(x) =2x+1 in Z4x. Then f(x) has a zero in any ring containing Z4 is a subring_____?____

Answered: Let f(x) = 2x + 1 in Z4 [x]. Then f(x)…

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 9E: Let be a field. Prove that if is a zero of then is a zero of

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Let f(x) = 2x + 1 in Z4 [x]. Then f(x) has a zero Z4 as a subring.