This polynomial profit function f(x)=(x+5)(x-6)(x+6) has three factors whose zeros are -5, 6, and -6, indicating the production levels where profit is zero. The graph crosses the x-axis at these three points. There is one turning point between the zeros, showing the profit maximum.

1. The following polynomial represents a profit function for a
certain production line, where x is a number of produced units,
find
a. the zeros and the multiplicity of each
b. where the graph crosses or touches the x‐axis
c. number of turning points
d. explain the meaning of the above, if any
f(x)=(x+5)(x-6)(x+6)
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