Abstract Algebra: Theory and Applications · Problem 17.5.7

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · polynomial-units

Problem

Find a unit p(x)p(x) in Z4[x]\mathbb{Z}_4[x] such that deg⁡p(x)>1\deg p(x) > 1. Hint. Look at (2x+1)(2x+1).

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