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    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:47 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/123121

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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.

    $2.49

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