Let f(x) be a polynomial in F[x] of degree n. Let E F be the splitting

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Let f(x) be a polynomial in F[x] of degree n. Let E ≤ F be the splitting field of f(x) over F in F̅. What
bounds can be put on [E : F]?

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:50 AM

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Let f(x) be a polynomial in F[x] of degree n. Let E F be the splitting

Question:

Step by Step Answer:

We have 1 E F n The example E F Q and fx x 1 shows that the lower bound 1 cannot ...View the full answer

A First Course In Abstract Algebra

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