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Let E be an algebraic extension of F. If every polynomial

Contemporary Abstract Algebra | 8th Edition | ISBN: 9781133599708 | Authors: Joseph Gallian ISBN: 9781133599708 52

Solution for problem 4E Chapter 21

Contemporary Abstract Algebra | 8th Edition

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Contemporary Abstract Algebra | 8th Edition | ISBN: 9781133599708 | Authors: Joseph Gallian

Contemporary Abstract Algebra | 8th Edition

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Problem 4E

Let E be an algebraic extension of F. If every polynomial in F[x] splits in E, show that E is algebraically closed.

Step-by-Step Solution:
Step 1 of 3
Step 2 of 3

Chapter 21, Problem 4E is Solved
Step 3 of 3

Textbook: Contemporary Abstract Algebra
Edition: 8
Author: Joseph Gallian
ISBN: 9781133599708

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Let E be an algebraic extension of F. If every polynomial

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