If F is a field and ,g F[x] with deg g 1, then there exist
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If F is a field and ∫,g ϵ F[x] with deg g ≥ 1, then there exist unique polynomials ∫o,∫1, ... ,∫ϒ ϵ F[x] such that deg ∫i < deg g for all i and 
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ANSWER We can prove the statement by induction on the degree of f Base case If deg f deg g the...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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