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

Question

Zero Multiplicity
x=1 3
x=81 5

f(x)=(x+1)^3(x+81)^5
f(x)=(x-1)^3(x-81)^5
f(x)=(x-1)^5(x-81)^3
f(x)=(x+1)^5(x+81)^3

Answer 1

f(x)=(x-1)^3(x-81)^5