The polynomial function is
.
The leading coefficient (
) is 1 and constant term is
.
The possible rational zeros :
.
Determine
is a rational zero by using synthetic division.

\
Factorize the resulting quadratic expression.
\



The complete factorization of f(x) is
.
Find the rational zeros of the polynomial function by equating f(x) to zero.
\


.
The rational zeros of the function are
and
.
The rational zeros of the function are
and
.