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Consider the field Z3[x]/. Please explain to me how this field has 9 elements. Thank you!

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 22E: Prove that if R and S are fields, then the direct sum RS is not a field. [Type here][Type here]

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Consider the field Z3[x]/<x2 +x+2>. Please explain to me how this field has 9 elements. Thank you!

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