2023 AMC 12B Problem 6

Posted on June 14, 2024 by Sumant Sumant

When the roots of the polynomial P(x)=(x-1)^1(x-2)^2(x-3)^3\cdots(x-10)^{10} are removed from the number line. what remains is the union of 11 disjoint open intervals. On how many of these intervals is P(x) positive ?

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