Find all c Z 3 such that Z 3 [x]/(x 2 + c) is a field.

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Find all c ∈ Z₃ such that Z₃[x]/(x² + c) is a field.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 05:27 AM

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Find all c Z 3 such that Z 3 [x]/(x 2 + c) is a field.

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By Theorem 2725 we need only find all values c such that x 2 c is irreducible over Z 3 Let fx x 2 Th...View the full answer

A First Course In Abstract Algebra

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