2. Find all values of a € Z5 such that the quotient ring is not a field. Zs[r]/(x³ + 2x² + āx+3)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.6: Algebraic Extensions Of A Field
Problem 14E
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2. Find all values of a € Z5 such that the quotient ring
is not a field.
Zs[x]/(x³ + 2x² + ax +3)
Transcribed Image Text:2. Find all values of a € Z5 such that the quotient ring is not a field. Zs[x]/(x³ + 2x² + ax +3)
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