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JEE Main 2022 (Online) 25th July Evening Shift

INTEGER+4 / -12022

Let \(f(x)\) be a quadratic polynomial with leading coefficient 1 such that \(f(0)=p, p \neq 0\), and \(f(1)=\frac{1}{3}\). If the equations \(f(x)=0\) and \(f \circ f \circ f \circ f(x)=0\) have a common real root, then \(f(-3)\) is equal to ________________.

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