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) = x4 - 49x2

A. x = 0, crosses the x-axis;
x = 7, crosses the x-axis;
x = -7, crosses the x-axis
B. x = 0, touches the x-axis and turns around;
x = 49, touches the x-axis and turns around
C. x = 0, touches the x-axis and turns around;
x = 7, crosses the x-axis;
x = -7, crosses the x-axis
D. x = 0, touches the x-axis and turns around;
x = 49, crosses the x-axis


Answer: C

Mathematics

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