Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -x3(x + 3)2(x - 6)

Question

A. x = 0, touches the x-axis and turns around;
x = -3, touches the x-axis and turns around;
x = 6, crosses the x-axis
B. x = 0, touches the x-axis and turns around;
x = 3, crosses the x-axis;
x = 6, crosses the x-axis
C. x = 0, crosses the x-axis;
x = -3, touches the x-axis and turns around;
x = 6, crosses the x-axis
D. x = 0, crosses the x-axis;
x = 3, touches the x-axis and turns around;
x = -6, crosses the x-axis

Answer 1

Answer: C