ld and p (x) be an irreducible polynomial of positive degree over a

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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8. If F is a field and p (x) be an irreducible polynomial of positive degree over a
field F, then there is an extension K = F [x] / p<x > of F such that [K : F] = deg p (x) and p (x)
has a root in K.
Transcribed Image Text:8. If F is a field and p (x) be an irreducible polynomial of positive degree over a field F, then there is an extension K = F [x] / p<x > of F such that [K : F] = deg p (x) and p (x) has a root in K.
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