Mathematics

Problem

Let

f(x)=(x-2)(x+1)(x+3)

be a polynomial function. a. Find the

y

-intercept of

f

. Express your answer as an ordered pair. b. Determine all the

x

-intercepts of

f

and write them as ordered pairs. c. State the maximum possible number of

x

-intercepts for

f

and verify whether the polynomial actually attains this maximum.