Prove that f(x) is reducible over Z3. Write f(x) as a product of irreducible factors.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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Let f(x)=x6+x3+1

Prove that f (x) is reducible over
Z3. Write f(x)
product of irreducible factors.
as a
Transcribed Image Text:Prove that f (x) is reducible over Z3. Write f(x) product of irreducible factors. as a
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