Let's go to the polynomials

Calculus Level 3

\(P(x)\) is a non-zero polynomial with real coefficients and satisfies following equation \[P(2x)=P'(x)P''(x)\]Where \(P'(x)\) and \(P''(x)\) are first and second derivatives of \(P(x)\) respectively. Evaluate \(P(3)\).

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