2. Let R[x] be a ring over field R and let f, g are elements of R[x]. f=x3 +x2 +x +[0] , g=x +[1]. Show what deg(r) < deg(g).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 5E
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2. Let R[x] be a ring over field R and let f, g are
elements of R[x].
f=x3 +x2 +x +[0] , g=x +[1]. Show what deg(r) <
deg(g).
Transcribed Image Text:2. Let R[x] be a ring over field R and let f, g are elements of R[x]. f=x3 +x2 +x +[0] , g=x +[1]. Show what deg(r) < deg(g).
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