Let be a polynomial of positive degree over an integral domain D. (a) If char D =
Question:
Let∫ be a polynomial of positive degree over an integral domain D.
(a) If char D = 0, then ∫' ≠ 0.
(b) If char D = p ≠ 0, then ∫' = 0 if and only if /is a polynomial in xP (that is, ∫ = a0 + apXP + a2px2P + • • • +aipxiP).
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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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