Let F be a field and f(x) e F[x] be a polynomial of degree > 1. If f(a) = 0 for some a e F, then f (x) is reducible over F. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 2E
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Let F be a field and f(x) E F[x] be a polynomial of degree > 1. If
f (a) = 0 for some a e F, then f (x) is reducible over F.
%3D
Transcribed Image Text:Let F be a field and f(x) E F[x] be a polynomial of degree > 1. If f (a) = 0 for some a e F, then f (x) is reducible over F. %3D
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