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A1 / B5

Part of 2011 Princeton University Math Competition

Problems(1)

2011 PUMaC Algebra A1 / B5

Source:

9/24/2019
A polynomial pp can be written as \begin{align*} p(x) = x^6+3x^5-3x^4+ax^3+bx^2+cx+d. \end{align*} Given that all roots of p(x)p(x) are equal to either mm or nn where mm and nn are integers, compute p(2)p(2).
algebra