# Polynomials over the Rational Field: Monic Polynomial: If a is rational and x - a divides an integer monic polynomial, prove that a must be an integer.

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Modern Algebra

Ring Theory (XXXVII)

Polynomials over the Rational Field

Monic Polynomial

Irreducible Polynomial

If a is rational and x - a divides an integer monic polynomial, prove that a must be an integer.

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#### Solution Summary

It explains about the monic polynomials over the rational field. It mainly describes that if a is rational and x - a divides

an integer monic polynomial, then a must be an integer.

The solution is given in detail.

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