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2. Let R be a U.F.D. and f (x), g (x) e R [x]. If f(x) g (x) is a primitive polynomial, then f (x) and g (x) are also primitive polynomials.

2. Let R be a U.F.D. and f (x), g (x) e R [x]. If f(x) g (x) is a primitive polynomial, then f (x) and g (x) are also primitive polynomials.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Let R be a U.F.D. and f (x), g (x) e R [x]. If f (x) g (x) is a primitive polynomial, then f (x) and g (x) are also primitive polynomials.
Transcribed Image Text:2. Let R be a U.F.D. and f (x), g (x) e R [x]. If f (x) g (x) is a primitive polynomial, then f (x) and g (x) are also primitive polynomials.
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