Greg was asked to construct a polynomial function with the following zeros and multiplicities. Which function should he write?

Question

Zero Multiplicity
x=−4
2
x=2
3
Function #1: f(x)=(x+4)(x−2)


Function #2: f(x)=(x+4)2(x−2)3


Function #3: f(x)=(x−4)2(x+2)3

Answer 1

Function #2: f(x)=(x+4)2(x-2)3