Two Equations in Two Degrees

Difficulty: Hard · Topics: Algebra, Polynomials, Degree of a Polynomial

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For polynomials P and Q,

dbig[P(x^3)· Q^3(x)big]=30 and dbig[P^2(x^2)· Q(x^3)big]=36.

Find dbig[P(x)· Q(x)big].