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. Let f (x) = 11x +9x +21. Prove that f (x) is irreducible over Q.

. Let f (x) = 11x +9x +21. Prove that f (x) is irreducible over Q.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve the following problem: 4. Let f (x) = 11x +9x +21. Prove that f (x) is irreducible over Q. (Hint: Use Mod 2 Irreducibility Test). Note: Course Name/Writer: Contemporary Abstract Algebra / Joseph A. Gallian Mention the Chapter Number and Exercise Number of the problem in the book. Example: Chapter 17, Exercise 20
Transcribed Image Text:Solve the following problem: 4. Let f (x) = 11x +9x +21. Prove that f (x) is irreducible over Q. (Hint: Use Mod 2 Irreducibility Test). Note: Course Name/Writer: Contemporary Abstract Algebra / Joseph A. Gallian Mention the Chapter Number and Exercise Number of the problem in the book. Example: Chapter 17, Exercise 20
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