Consider the polynomial function

Question

m(x)=5(x-1)^2(x+3)^3

Complete the following

Real zero:

Multiplicity:

Graph crosses or bounces back at real zero:

x =

x =

(b) What is the degree of m?

(c) What is the leading coefficient?

(d) Describe the end behavior of g.

Answer 1

real zero 1, multiplicity 1

real zero -3 multiplicity 3

crosses at x=1

bounces back at -3

coefficient = 5

degree = 4

end behavior

as x goes to infinity m(x) goes to infinity

as x goes to - infinity m(x) goes to infinity