This problem has two parts, Part A and Part B.


Part A: Use the Remainder Theorem to find the remainder when p(x)=3x^3+3x^2−21x−9 is divided by 3x−9.


Part B: Is 3x−9 a factor of p(x)=3x^3+3x^2−21x−9?


A options

(A) the remainder is 0

(B) The remainder is 36

(C) The remainder is -16/9

B options

(A) No, 3x−9 is not a factor of p(x)

(B) Yes, 3x-9 is a factor of p(x)