Determine if the following polynomials are- irreducible in

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

B7

Determine if the following polynomials are
irreducible in
Z[r]
and in
. Justify your answer.
i)
+ 2x + 1
ii)
xª + 4x³ + 6x² + 4x + 2
Transcribed Image Text:Determine if the following polynomials are irreducible in Z[r] and in . Justify your answer. i) + 2x + 1 ii) xª + 4x³ + 6x² + 4x + 2
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