Is the polynomial p(x) = x 4 + x 2 + 3 irreducible over I7[x]? Justify.

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Is the polynomial p(x) = x
4 + x
2 + 3 irreducible over I7[x]? Justify.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Posted Date: May 02, 2024 12:58 AM

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Is the polynomial p(x) = x 4 + x 2 + 3 irreducible over I7[x]? Justify.

Question:

Expert Answer:

Yes the polynomial px x4 x2 3 is irreducible over Z7x We will prove this by showing that it ha... View the full answer

A First Course In Abstract Algebra

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