In the ring Za[x]/ 1- The inverse of x is: a) x+1 b) x2+1 c) x d) x? 2- The value that replaces x +lis a) x+1 b) x2 +1 c) x d) x? 3- (x2 +1) is equal to: a) x+1 b) x2 +x с) х d) x2 4- (x2+1) (x2 +x) is equal to: a) 0 b) x2 +1 c) x d) x2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.1: Definition Of A Ring
Problem 20E
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In the ring Za[x]/<y+1>
1- The inverse of x is:
a) x+1
b) x2 +1
с) х
d) x2
2- The value that replaces x+lis
a) x+1
b) x2 +1
c) x
d) x2
3- (x2 +1) is equal to:
a) x+1
b) x2 +x
с) х
d) x2
4- (x2+1) (x² +x) is equal to:
a) 0
b) х2 +1
c) x
d) x2
Transcribed Image Text:In the ring Za[x]/<y+1> 1- The inverse of x is: a) x+1 b) x2 +1 с) х d) x2 2- The value that replaces x+lis a) x+1 b) x2 +1 c) x d) x2 3- (x2 +1) is equal to: a) x+1 b) x2 +x с) х d) x2 4- (x2+1) (x² +x) is equal to: a) 0 b) х2 +1 c) x d) x2
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