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Let E be an extension field of a finite field F, where F has q elements....

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Advance Math

Let E be an extension field of a finite field F, where F has qelements. Let a in E be an element which is algebraic over F withdegree n. Show that F(a) has q^n elements. Please provide an uniqueanswer and motivate all steps carefully. I also prefer that thesolution is provided as written notes.

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