Answer:

Step-by-step explanation:
The division problem given to us is  .
.
To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is  .
.
We carry out the synthetic division as shown in the attachment.
The result of the synthetic division is 4   -27   167   -996
The first three terms are the coefficients of the quotient and the last term is the remainder.
Therefore the quotient is  and the remainder is
 and the remainder is  .
.
The dividend, the quotient and the divisor are written as

The correct answer is A