medium · SAT Math

p(x) = (x + 4)^3(x - 5) The polynomial function p is defined above. Which of the following best describes the behavior of the graph of y = p(x) in the xy-plane at each of its x-intercepts?

  1. The graph crosses the x-axis at both x = -4 and x = 5.
  2. The graph touches the x-axis at x = -4 and turns back without crossing, and it crosses the x-axis at x = 5.
  3. The graph crosses the x-axis at both x = 4 and x = -5.
  4. The graph touches the x-axis and turns back without crossing at both x = -4 and x = 5.

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