Let K be a field with char K 2,3 and consider the cubic equation x 3
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Let K be a field with char K ≠ 2,3 and consider the cubic equation x3+a1x2+ a2x+ a3 = 0 (ai ϵ K). Let p =
(with cube roots chosen properly). Then the solutions of the given equation are P + Q - a1/3; wP + w2Q - a1/3; and w2P + wQ - a1/3 where w is a primitive cube root of unity.
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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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