3. For each part, find an example satsifying the given condition. If no such example is possible, explain why. (a) Find polynomials f(x) and g(x) in Z₁[r), each of degree 2, such that f(x)g(x) = 0. (b) Find polynomials f(x) and g(r) in Zs[r], each of degree 2, such that f(r)g(x) = 0.
3. For each part, find an example satsifying the given condition. If no such example is possible, explain why. (a) Find polynomials f(x) and g(x) in Z₁[r), each of degree 2, such that f(x)g(x) = 0. (b) Find polynomials f(x) and g(r) in Zs[r], each of degree 2, such that f(r)g(x) = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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