To show this, let f, g be polynomials in R[x] such that g-f = (x-3)h for some polynomial h in R[x]. We want to show that f and g belong to the same equivalence class in S_m. Since f and g differ by a multiple of 2, it suffices to show that g(2) = f(2 Gl).

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 36E
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I dont get what this part of the answer means "g(2) = f(2Gl)"

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To show this, let f, g be polynomials in R[x] such that g-f = (x-3)h for some polynomial h in R[x]. We
want to show that f and g belong to the same equivalence class in S_m. Since f and g differ by a
multiple of 2, it suffices to show that g(2) = f(2 GI).
Transcribed Image Text:To show this, let f, g be polynomials in R[x] such that g-f = (x-3)h for some polynomial h in R[x]. We want to show that f and g belong to the same equivalence class in S_m. Since f and g differ by a multiple of 2, it suffices to show that g(2) = f(2 GI).
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