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g(x) = (x -1)^2(p + 2x)^2

Source: 2021 Dürer Math Competition Finals Day2 E8 https://artofproblemsolving.com/community/c2749870_

January 8, 2022
algebrapolynomial

Problem Statement

John found all real numbers pp such that in the polynomial g(x)=(xāˆ’1)2(p+2x)2g(x) = (x -1)^2(p + 2x)^2 , the quadratic term has coefficient 20212021. What is the sum of all of these values pp?
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