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

The quotient is .

The remainder is , when the depressed polynomial is divided by .

So  is a factor of  .

Both and are the factors of the quotient in the factored form can be written as

Factor form of the function is .