Algebra-2

1. First, recall the Rational Root Theorem:

For a polynomial  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 :

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 , the possible rational roots are , so we have