Abstract Algebra: Theory and Applications · Problem 17.5.15

Integral Domains — Thomas Judson

Mathematics — Abstract Algebra · irreducible-polynomials

Problem

Let f(x)f(x) be irreducible in F[x]F[x], where FF is a field. If f(x)∣p(x)q(x)f(x) \mid p(x)q(x), prove that either f(x)∣p(x)f(x) \mid p(x) or f(x)∣q(x)f(x) \mid q(x).

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