Let K be an extension of a field F. If an) is a finite an e K are algebraic over F, then F (a1, a2, . ... tension of F and so is algebraic over F.
Let K be an extension of a field F. If an) is a finite an e K are algebraic over F, then F (a1, a2, . ... tension of F and so is algebraic over F.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 5E: Let F be a field and f(x)=a0+a1x+...+anxnF[x]. Prove that x1 is a factor of f(x) if and only if...
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