MathDB
2017 A3: Quadratic Polynomial Equation

Source:

January 29, 2017
quadraticsalgebrapolynomial

Problem Statement

Suppose P(x)P(x) is a quadratic polynomial with integer coefficients satisfying the identity P(P(x))āˆ’P(x)2=x2+x+2016P(P(x)) - P(x)^2 = x^2+x+2016 for all real xx. What is P(1)P(1)?
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