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2000 AMC 12 Question 22

AMC12 · 2000 AMC 12

Question 22

The graph below shows a portion of the curve defined by the quartic polynomial $$
P(x) = x^4 + ax^3 + bx^2 + cx + d.
$$ Which of the following is the smallest?

Question illustration
  1. $P(-1)$
  2. The product of the zeros of $P$
  3. The product of the non-real zeros of $P$
  4. The sum of the coefficients of $P$
  5. The sum of the real zeros of $P$