Let F be a finite field of order q. Let E be the splitting field of Xª – X +1 over
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 10E
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![F. Determine the order of E.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb60dbe41-c8e3-465d-b77a-9bc2b15676cd%2F0b79b0cc-8e1b-4b2a-b589-be13ac020a6c%2Fwm7cqm_processed.png&w=3840&q=75)
Transcribed Image Text:F. Determine the order of E.
![Let F be a finite field of order q. Let E be the splitting field of Xª – X + 1 over](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb60dbe41-c8e3-465d-b77a-9bc2b15676cd%2F0b79b0cc-8e1b-4b2a-b589-be13ac020a6c%2Ftpy6fom_processed.png&w=3840&q=75)
Transcribed Image Text:Let F be a finite field of order q. Let E be the splitting field of Xª – X + 1 over
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