In the ring Z[x] 1- The inverse of x is: a) x+1 b) x+1 c) x d) x 2- The value that replacesx is a) x+1 b) x2 +1 c) x d) x 3- (x²+1)' is equal to: a) x+1 b) x² +x c) x d) x2 4- (x+1)(x² +x+1)is equal to: a) 0 b) x2+1 c) x d) x

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