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Asked Apr 22, 2019
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Abstract Algebra

minimal polynomial over K of degree 〈 k. Find the minimal polynomials
of complex numbers over R explicitly to verify this fact.
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minimal polynomial over K of degree 〈 k. Find the minimal polynomials of complex numbers over R explicitly to verify this fact.

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Expert Answer

Step 1

To  show that the degree of the minimal polynomial of any complex number over R is of degree at most 2.

Step 2

This is the problem statement.

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Step 3

Proof of the statement. To start with any z satisfies a pol...

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