The function is .

Identify Possible Rational Zeros:

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.

Angies Model of finding rational zeros :

.

Because the leading coefficient is , the possible rational zeros are the intezer factors of the constant term .

or .

Therefore, the possible rational zeros of are .

The above solution is wrong because angie divided by the factors of which is not the leading coefficient.

Julius Model of finding rational zeros :

The function is .

The function can be written as .

Because the leading coefficient is , the possible rational zeros are the intezer factors of the constant term .

or .

Therefore, the possible rational zeros of are .

The julius solution is right because julius divided by the factors of which is the leading coefficient.

Therefore, the possible rational zeros of are .

Julius is correct.