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 of
.
Now test the second factor ,for the polynomial
.
Synthetic division for factor .
The divisor is in the form of .
When is divided by
The remainder is
.
So is not a factor of
.
Both the factors and
do not obtain the remainder
.
So and
are not the factors of
.