(a) Show that if x E Q is such that |x|, < 1 for all prime numbers p then x E Z.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 23E: Let f(x),g(x),h(x)F[x] where f(x) and g(x) are relatively prime. If h(x)f(x), prove that h(x) and...
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Transcribed Image Text:(a) Show that if x E Q is such that |x|, < 1 for all prime numbers p then x E Z.
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