In problem, for each polynomial function:

(a) List each real zero and its multiplicity.

(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.

(c) Determine the behavior of the graph near each x-intercept (zero).

(d) Determine the maximum number of turning points on the graph.

(e) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of ƒ |x|.

f(x) = 3(x² + 8)(x² + 9) ²