An algebra problem by tannistha mondal

Algebra Level pending

Suppose \(f\) is a quadratic polynomial, i.e., a polynomial of degree 2, with leading coefficient 1 such that \(f(f(x) + x) = f(x)(x^2 + 786x + 439) \) for all real number \(x\). What is the value of \( f(3) \)?

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