Let F be a field of characteristic # 2. Let a and ß be roots of X2 - ae F(X) and X² − b e F(X), respectively. Show that (a + ß) is a root of X4-2 (a + b) X² + (a - b)².
Let F be a field of characteristic # 2. Let a and ß be roots of X2 - ae F(X) and X² − b e F(X), respectively. Show that (a + ß) is a root of X4-2 (a + b) X² + (a - b)².
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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