Identify Possible Rational Zeros:

Usually it is not practical to test all possible zeros of a polynomial function using only synthetic

substitution. The Rational Zero Theorem can be used for finding the some possible zeros to test.

The polynomial function is .

Use rational zero theorem to find the potential rational zeros of a polynomial function.

If  is the rational zero, then  is factor of the constant term  and  is factor of the leading coefficient .

The possible values of  are , and .

The possible values of  are and .

Now form all possible ratios of  are, .

.

The potential rational zeros are .