1993 AIME Problems/Problem 5

Problem

Let $P_0(x) = x^3 + 313x^2 - 77x - 8\,$ . For integers $n \ge 1\,$ , define $P_n(x) = P_{n - 1}(x - n)\,$ . What is the coefficient of $x\,$ in $P_{20}(x)\,$ ?

Solution

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1993 AIME (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
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1993 AIME Problems/Problem 5

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