Difference between revisions of "2023 AMC 10B Problems/Problem 12"

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When the roots of the polynomial
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#redirect[[2023 AMC 12B Problems/Problem 6]]
 
 
<math>P(x)  = (x-1)^1 (x-2)^2 (x-3)^3 \cdot \cdot \cdot (x-10)^{10}</math>
 
 
 
are removed from the number line, what remains is the union of 11 disjoint open intervals. On how many of these intervals is <math>P(x)</math> positive?
 

Latest revision as of 20:33, 15 November 2023