The function is  .

The factors are  and .

Perform the synthetic division method to test each factor.

Synthetic division for factor .

Rewrite the division expression so that the divisor is in the form of .

The divisor obtained is .

Now the divisor is in the form of  .

.

When is divided by  The remainder is  .

So is a factor of .

The obtained depressed polynomial is .

Now test the second factor ,with the depressed polynomial  .

Synthetic division for factor .

The divisor is in the form of

Use a zero place holder in the missing term in the dividend.

When is divided by  The remainder is  .

So is not a factor of .

The quotient in the factored form can be written as .

The factor form of the function is .