Identify the zeros of the given polynomial function and state their multiplicities. Describe also how the graph behaves with the x-axis.
f(x) = x³ + 8x² - 9x - 72

• A. x = -3 has multiplicity 1; x = 3 has multiplicity 1; x = -8 has multiplicity 1; The graph crosses the x-axis at -3, 3, and -8
• B. x = -3 has multiplicity 1; x = 3 has multiplicity 1; x = -8 has multiplicity 1; The graph touches the x-axis and turns around at -3, 3, and -8
• C. x = -3 has multiplicity 2; The graph touches the x-axis and turns around at -3; x = 3 has multiplicity 1; The graph crosses the x-axis at 3
• D. x = -8 has multiplicity 2; The graph touches the x-axis and turns around at -8; x = 3 has multiplicity 1; The graph crosses the x-axis at 3

Answer: (A)