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Algebra Level 5

(x3+3x2+3x+2)P(x1)=(x33x2+3x2)P(x)\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)P(x) be a polynomial with real coefficients such that it satisfies the above equation  xR\forall \ x \in \mathbb R, where P(2)=84P(2)=84. Submit the value of P(10)P(10) as your answer.

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


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