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) x2 +1 c) x d) x2 3- (x+1)³ is equal to: a) x+1 b) x2 +x с) х d) x2

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 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
с) х
d) x2
3- (x+1) is equal to:
a) x+1
b) x2 +x
c) x
d) x?
4- (x2 +x+1) (x2 +x+1)is equal to:
а) 0
b) x2 +1
c) x2 +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 с) х d) x2 3- (x+1) is equal to: a) x+1 b) x2 +x c) x d) x? 4- (x2 +x+1) (x2 +x+1)is equal to: а) 0 b) x2 +1 c) x2 +x+1 d) x2
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