For the polynomial function f(x) = 6(x - 5)(x + 2)2 answer the following questions.
(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 maximum number of turning points on the graph.
(d) Determine the end behavior; that is, find the power function that the graph off resembles for large values of [xl.
(a) Find any real zeros off. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The real zero off is with multiplicity . (Type an exact answer, ing radicals as needed. Type integers or fractions.)
B. The smallest zero of fis with multiplicity . The largest zero off is with multiplicity (Type an exact answer, ing radicals as needed. Type integers or fractions.)
C. The smallest zero off is with multiplicity The middle zero of fis with multiplicity. The largest zero off is (Type an exact answer, ing radicals as needed. Type integers or fractions.)
D. There are no real zeros. with multiplicity