Polynomial Function of f(x)= -6(x-9)(x+4)^2

Question

(a) Find any real zeros of f. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

The multiplicity of the larger zero is

The multiplicity of the smaller zero is

(b) the graph (touches/crosses) the​ x-axis at the larger​ x-intercept.

the graph (touches/crosses) the​ x-axis at the smaller​ x-intercept.

(c) The maximum number of turning points on the graph is

(d) Type the power function that the graph of f resembles for large values of absolute value X

Answer 1

zeros are 9 and -4

9 has multiplicity 1, -4 has multiplicity 2

crosses at x=9

just touches at x=-4 (that's why it has multiplicity 2)

maximum 2 turning points, (1 less than the degree of 3)

y=-6x^3 the highest powered term dominates at very large or small x