is the factor of . What is the value of ?

**(A)**

**(B)** 9

**(C)**

**(D)**

**(E)** None of the above

According to remainder theorem if we divide given polynomial by then P(c) = r where r is the remainder.

Therefore, if is the factor of then we will have .

It is given that is the factor of . It means that P(-2)=0 by remainder theorem.

Hence, the answer is **(D)**.