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(i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine the splitting field of x4 + x2 + 1 over Q also find its degree over Q,

(i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine the splitting field of x4 + x2 + 1 over Q also find its degree over Q,

Advanced Engineering Mathematics
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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(i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine the splitting field of x4 + x2 + 1 over Q also find its degree over Q,
Transcribed Image Text:(i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine the splitting field of x4 + x2 + 1 over Q also find its degree over Q,
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