1. Given the polynomial f(x) = (x – 4)3 (x + 3)2 (x – 9)
a. Find the zeros of the expression, and their multiplicities
b. At each zero, determine whether the graph crosses the x-axis, or merely touches the x-axis and bounces off
c. Find the maximum number of turning points
d. Find the power function, and use it to characterize the function’s end behavior
