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
.