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Primitive

  • Definition: A polynomial f(x)=(a_n)(x^n)+...+(a_1)x+a_0 with rational coefficients is called primitive if it is an integer polynomial of positive degree, the greatest common divisor of its coefficients a_0,...,a_n is the integers is 1, and its leading coefficient a_n is positive.

    Source: Algebra, second edition by Michael Artin

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