2023 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 12 Medium

When the roots of the polynomial

P ( x ) = \prod _ { i = 1 } ^ { 1 0 } ( x - i ) ^ { i }

are removed from the real number line, what remains is the union of 11 disjoint open intervals. On how many of those intervals is P(x) positive? (2023 AMC10B Q12)

  • A.

    3

  • B.

    4

  • C.

    5

  • D.

    6

  • E.

    7

Answer:C
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