The function is .

The factors are and .

Perform the synthetic division method to test each factor.

Synthetic division for factor .

The divisor is in the form of

When is divided by  , the remainder is  .

So is not a factor.

Now test the second factor .

Synthetic division for factor .

The divisor is in the form of

When is divided by  , the remainder is  .

 So is a factor of .

Since is a factor of , the quotient in the factored form is .

is not a factor of the polynomial. \ \

is a factor of the polynomial.

The factored form of the polynomial is .