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Factoring translates of polynomials (Arvind Suresh, University of Arizona – Tucson)
Factoring translates of polynomials (Arvind Suresh, University of Arizona – Tucson)
Given a degree d polynomial f(x) in Q, consider the subset S_f of Q consisting of rational numbers t for which the translated polynomial f(x) - t factors completely in Q. For example, if f is linear or quadratic then S_f is always infinite, but if degree of f is at least 3, then interesting […]