Prove that S = {p(x) = R[x] | p(2) = 0 and p(3) = 0} is a subring of R[x].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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Prove that S = {p(x) = R[x] | p(2) = 0 and p(3) = 0} is a
subring of R[x].
Transcribed Image Text:Prove that S = {p(x) = R[x] | p(2) = 0 and p(3) = 0} is a subring of R[x].
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