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.
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 28SE: For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial...
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![3. For each part, find an example satsifying the given condition. If no such example is possible, explain
why.
(a) Find polynomials f(a) and g(x) in 2₁ [2], each of degree 2, such that f(r)g(x) = 0.
(b) Find polynomials f(x) and g(ar) in Zs[r], each of degree 2, such that f(x)g(x) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e0012ff-a39a-4c1f-bd64-80877d91c93c%2Fd18f85f8-eb4e-4477-87e4-4056e65f02e6%2Fs5u6old_processed.png&w=3840&q=75)
Transcribed Image Text:3. For each part, find an example satsifying the given condition. If no such example is possible, explain
why.
(a) Find polynomials f(a) and g(x) in 2₁ [2], each of degree 2, such that f(r)g(x) = 0.
(b) Find polynomials f(x) and g(ar) in Zs[r], each of degree 2, such that f(x)g(x) = 0.
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