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# Let F be a field and K a splitting field for some

## Problem 37E Chapter 21

Contemporary Abstract Algebra | 8th Edition

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Contemporary Abstract Algebra | 8th Edition

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Problem 37E

Let F be a field and K a splitting field for some non-constant polynomial over F. Show that K is a finite extension of F.

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Finite Mathematics Chapter Ten: Sets A set is collection of objects. Elements are individual members of a set. Sets are typically expressed in one of two ways. The roster method simply lists all the of the elements of a set. A = {a,e,i,o,u} Set­Builder notation provides a rule that defines the set. A = {x | x is a vowel} The symbol greek ‘e’ indicates...

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