Question on coefficients of polynomials – math.stackexchange.com

Let $$P_0(x)=x^3+313x^2-77x-8$$ For integers $n\ge1$, define $$P_n(x)=P_{n-1}(x-n)$$. Then what is the coefficient of $x$ in $P_{20}(x)$ ? I have absolutely no idea how to proceed. Could somebody ...

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