Algebra-2

For a polynomial function , the possible rational zeros are of the form , where  is a factor of the constant term  and  is a factor of the leading coefficient .

 

For the function , the leading coefficient is 6 and the constant term is -3.

 

The factors of -3 are ±1 and ±3.

The factors of 6 are ±1, ±2, ±3, and ±6.

 

So, the possible rational zeros are , where  is a factor of -3 and  is a factor of 6.

 

When :

   - If , we have .

   - If , we have .

   - If , we have .

   - If , we have .

 

When :

   - If , we have .

   - If , we have .

   - If