Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 185: 50

$f(x)=x^3-12x-16$

If $c$ is a zero of a function with multiplicity $b$ then $(x-c)^b$ is a “factor” of the function. We are given that the degree is $3$, and the zeros are $-2$ (multiplicity 2) and $4$ (multiplicity 1), hence $f(x)=a(x+2)^2(x-4)\\ f(x)=a(x^3-12x-16)$ If $a=1$, the function becomes $f(x)=x^3-12x-16$