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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In the ring Z[x]}<x³ +1>
1- The inverse of x² 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- (x+1) is equal to:
a) x+1
b) x2 +x
c) x
d) x
4- (x? +x+1) (x² +x+1)is equal to:
a) o
b) x2+1
c) x2 +x+1
d) x
Transcribed Image Text:In the ring Z[x]}<x³ +1> 1- The inverse of x² 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- (x+1) is equal to: a) x+1 b) x2 +x c) x d) x 4- (x? +x+1) (x² +x+1)is equal to: a) o b) x2+1 c) x2 +x+1 d) x
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