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