MathDB
Some polynomials

Source: St Petersburg Olympiad 2010, Grade 10, P1

September 14, 2017
algebrapolynomial

Problem Statement

f(x)f(x) is square trinomial. Is it always possible to find polynomial g(x)g(x) with fourth degree, such that f(g(x))=0f(g(x))=0 has not roots?
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