Suppose that f(x) = x² + an−1xn−1 + . . . + ao € Z[x]. If r is rational and x divides f(x), prove that r is an integer. Solution: Narrative: -r
Suppose that f(x) = x² + an−1xn−1 + . . . + ao € Z[x]. If r is rational and x divides f(x), prove that r is an integer. Solution: Narrative: -r
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 57E
Question
![Suppose that f(x) = x² + an−1xn−1 + . . . + ao € Z[x]. If r is rational and x
divides f(x), prove that r is an integer.
Solution:
Narrative:
-r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf74b3a6-7117-452b-bd71-06aafd6c1dcd%2Fb72d27e4-c51c-4544-86ed-eb0fd8e1efd7%2F3087kw6_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that f(x) = x² + an−1xn−1 + . . . + ao € Z[x]. If r is rational and x
divides f(x), prove that r is an integer.
Solution:
Narrative:
-r
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