Cohn's irreducibility criterion is a sufficient condition for determining that a polynomial with integer coefficients cannot be factored into a product of lower-degree polynomials with integer coefficients. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
StatementIf a prime number p is expressed in base 10 as p = a_m 10^m + a_{m-1} 10^{m-1} + ... + a_1 10 + a_0 with 0 less than or equal to a_i less than or equal to 9, then the polynomial f(x) = a_m x^m + ... + a_0 is irreducible in Z[x]. 1 Classification
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Source Cohn's irreducibility criterion (Wikipedia)
Sources
1. Cohn's irreducibility criterion (Wikipedia)
Introduction
then the polynomial f(x) = a_m x^m + a_{m-1} x^{m-1} + ? + a_1 x + a_0 is irreducible in Z[x]
In Branch: Algebra, Lead section
polynomial to be irreducible
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