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. x4 + 8x3 - 33x2 = 0

A. x = 0, touches the x-axis and turns around;
x = 11, touches the x-axis and turns around;
x = -3, touches the x-axis and turns around
B. x = 0, touches the x-axis and turns around;
x = 11, crosses the x-axis;
x = -3, crosses the x-axis
C. x = 0, touches the x-axis and turns around;
x = -11, crosses the x-axis;
x = 3, crosses the x-axis
D. x = 0, crosses the x-axis;
x = -11, crosses the x-axis;
x = 3, crosses the x-axis


Answer: C

Mathematics

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