1. Recall the Rational Root Theorem:
For a polynomial function with integer coefficients (), the possible rational roots are of the form , where is a factor of the constant term and is a factor of the leading coefficient .
2. Identify the values of and for the polynomial :
Given that the leading coefficient , and its factors are .
The constant term , and its factors are .
3. Determine the possible rational roots :
When , the possible rational roots are , so we have .
When