Working a bit harder than in Exercise 20, show that f (x) F[x] has no zero

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Working a bit harder than in Exercise 20, show that f (x) ∈ F[x] has no zero of multiplicity > 1 if and only if f(x) and f'(x) have no common nonconstant factor in F[x].

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:50 AM

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Working a bit harder than in Exercise 20, show that f (x) F[x] has no zero

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If fx and fx have no nonconstant factor in Fx then they certai...View the full answer

A First Course In Abstract Algebra

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