Let f(x) = 3x^3 + 3x^2 + 3x+ 3. Write f(x) as a product of irreducible elements in:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 28E
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Let f(x) = 3x^3 + 3x^2 + 3x+ 3. Write f(x) as a product of irreducible elements in:

(a) Q[r]
(b) Z[x]
(c) Z[x].
Be sure to explain the irreducibility of the factor(s) as element(s) of the indicated UFD.
Transcribed Image Text:(a) Q[r] (b) Z[x] (c) Z[x]. Be sure to explain the irreducibility of the factor(s) as element(s) of the indicated UFD.
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