30. Let E be an extension field of a finite field F, where F has q elements. Let a e E be algebraic over F of degree n. Prove that F(a) has q" elements.

Advanced Engineering Mathematics
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ISBN:9780470458365
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*Section 29 number 30
Theory
29 Let F be an ext
ed ef 7, and let a, pEESuppose a is transer anal over F but algebraic over 1(B).
vOr E(@).
Show Tha KS
30. Let E be an extension field of a finite field F, where F has q elements. Let a e E be algebraic over F of degree
n. Prove that F(a) has q" elements.
Transcribed Image Text:Theory 29 Let F be an ext ed ef 7, and let a, pEESuppose a is transer anal over F but algebraic over 1(B). vOr E(@). Show Tha KS 30. Let E be an extension field of a finite field F, where F has q elements. Let a e E be algebraic over F of degree n. Prove that F(a) has q" elements.
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