MathDB

11.1

Part of 2009 All-Russian Olympiad Regional Round

Problems(1)

(f(x))^5 - f(x) has exactly three real roots, trinomial

Source: All-Russian MO 2009 Regional 11. 1

8/28/2024
Square trinomial f(x)f(x) is such that the polynomial (f(x))^5 - f(x) has exactly three real roots. Find the ordinate of the vertex of the graph of this trinomial.
algebrapolynomial