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) = (x - 2)2(x2 - 25)

A. x = 2, touches the x-axis and turns around;
x = -5, touches the x-axis and turns around;
x = 5, touches the x-axis and turns around
B. x = 2, touches the x-axis and turns around;
x = 25, touches the x-axis and turns around
C. x = 2, touches the x-axis and turns around;
x = -5, crosses the x-axis;
x = 5, crosses the x-axis
D. x = -2, touches the x-axis and turns around;
x = 25, crosses the x-axis


Answer: C

Mathematics

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