In the ring Z[x] 1- The inverse of x² is a) x+1 b) x2+1 c) x d) x2 2- The value that replaces x is a) x+1 b) x2+1 с) х d) x2 3- (x+1) is equal to: a) x+1 b) x2 +x c) x d) x2 4- (x +x+1) (x2 +x+1)is equal to: а) о b) x2 +1 c) x2 +x+1 d) x2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.1: Ideals And Quotient Rings
Problem 24E: 24. If is a commutative ring and is a fixed element of prove that the setis an ideal of . (The set...
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Abstract 2

In the ring Za[x]/<x3 +1>
1- The inverse of x² is
a) x+1
b) x2+1
с) х
d) x?
2- The value that replaces x is
a) x+1
b) x2+1
c) x
d) x2
3- (x +1) is equal to:
a) x+1
b) x2 +x
с) х
d) x2
4- (x x+1) (x2 +x+1)is equal to:
а) 0
b) x2+1
c) x? +x+1
d) x2
Transcribed Image Text:In the ring Za[x]/<x3 +1> 1- The inverse of x² is a) x+1 b) x2+1 с) х d) x? 2- The value that replaces x is a) x+1 b) x2+1 c) x d) x2 3- (x +1) is equal to: a) x+1 b) x2 +x с) х d) x2 4- (x x+1) (x2 +x+1)is equal to: а) 0 b) x2+1 c) x? +x+1 d) x2
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