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Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

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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Don't give below answer, again give worng answer ready for multiple downvote. Need correct answer, Show that x2 + 3 and x2 + x + 1 over Q have same splitting field. 

Solution Let P(X) = x²+3 = has splitting field Q(Bi) 80 again les (-1-531) 2 Psatfh as eplitting field Q (N3,i] Here Hence Babynomial Pica) and P2(X) foth hare Rome splitting field Q[53, i] Ang
Transcribed Image Text:Solution Let P(X) = x²+3 = has splitting field Q(Bi) 80 again les (-1-531) 2 Psatfh as eplitting field Q (N3,i] Here Hence Babynomial Pica) and P2(X) foth hare Rome splitting field Q[53, i] Ang
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