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Relation Between Relatively Prime Integers

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Modern Algebra
Ring Theory (XXXVI)
Polynomials over the Rational Field
Euclidean Ring
Irreducible Polynomial

If m and n are relatively prime integers and
( x - m/n ) divides ( a_o + a_1x + ... + a_r x^r ) where the a's are integers,
prove that m divides a_o and n divides a_r.

The complete problem is in the attached file.

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The solution explains the relation between two relatively prime integers.

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