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

Latest revision as of 19:33, 15 November 2023

Redirect to:

@@ Line 1: / Line 1: @@
-When the roots of the polynomial
+#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?