Que 196: Let Q be the field of are rational numbers and ƒ(x) = x² + x² + 1 € Q [x]. Show that -1 + i√3 2 Q (w) = over Q. is a splitting field of f(x)
Que 196: Let Q be the field of are rational numbers and ƒ(x) = x² + x² + 1 € Q [x]. Show that -1 + i√3 2 Q (w) = over Q. is a splitting field of f(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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![Que 196:
Let Q be the field of are rational numbers and
f(x) = x² + x² + 1 € Q [x]. Show that
-1 + i√3
2
Q (w)
over Q.
=
is a splitting field of f(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde1299c9-9b34-4e2f-bac1-8ea43999c313%2F9041741d-b2a9-4f92-9bc4-f303f4feb603%2Fcbq66z0v_processed.png&w=3840&q=75)
Transcribed Image Text:Que 196:
Let Q be the field of are rational numbers and
f(x) = x² + x² + 1 € Q [x]. Show that
-1 + i√3
2
Q (w)
over Q.
=
is a splitting field of f(x)
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