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Algebra
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OpenStudy (anonymous):
Consider all monic quadratic polynomials f(x) with real coefficients such that g(x)=(f(x))^2−f(x^2) is also monic, and has exactly three non-zero coefficients. The sum of f(0) for all such quadratic polynomials can be written as m/n, where m and n are coprime positive integers. What is the value of m+n?
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