Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 185: 43

$f(x)=x^3-3x^2-x+3$

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 $-1$, $1$ and $3$, hence $f(x)=a(x+1)(x-1)(x-3)\\ f(x) =a(x^3-3x^2-x+3)$ When $a=1$, the function is $f(x)=x^3-3x^2-x+3$