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Algebra Level 5

\[\large{\left(x^3 + 3x^2 + 3x + 2 \right) P(x-1) =\left(x^3 - 3x^2 + 3x - 2 \right)P(x)}\]

Let \(P(x)\) be a polynomial with real coefficients such that it satisfies the above equation \(\forall \ x \in \mathbb R\), where \(P(2)=84\). Submit the value of \(P(10)\) as your answer.

Bonus - Generalize \(P(x)\).

If you want to solve it's sister problem, an easy version, try this.

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