The polynomial function is .

The leading coefficient () is and constant term is .

The possible rational zeros : 

.

The possible rational zeros of polynomial are .

The possible rational zeros of polynomial are .

The polynomial function is .

The possible rational zeros of polynomial are .

The polynomial function is graph is

From the graph, zeros are contained in the list of possible rational zeros.

The polynomial function is graph is

The polynomial function is .

The leading coefficient () is and constant term is .

The possible rational zeros : 

.

The possible rational zeros of polynomial are .

To determine that is a rational zero by using synthetic division.

The resulting quadratic expression factors as

The complete factorization of f(x) is .

To find the real zeros of the polynomial function, set  f(x) equal to zero and solve for x.

        (Set f(x) equal to zero)

                         (1st factor set equal to zero)

                 (2nd factor set equal to zero)

                         (3rd factor set equal to zero)

The real zeros of the function are .

The real zeros of the function are .