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B.Stat & B.Math 2022 - Q4

Source: Indian Statistical Institute (ISI) - B.Stat & B.Math Entrance 2022

May 8, 2022
isiIndian Statistical Institutepolynomial

Problem Statement

Let P(x)P(x) be an odd degree polynomial in xx with real coefficients. Show that the equation P(P(x))=0P(P(x))=0 has at least as many distinct real roots as the equation P(x)=0P(x)=0.
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