Polynomials

Algebra Level 3

Let \(P(x)\) and \(Q(x)\) be two cubic polynomials such that \(P(0) = - 24\), \(Q(0) = 30\) and \(P(Q(x)) = Q(P(x))\) for all real \(x\). Determine \(P(3) + Q(6)\).

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