This problem has two parts, part a and part b.

part a: use the remainder theorem to find the remainder when p(x)=3x3+3x2−21x−9 is divided by 3x−9.

part b: is 3x−9 a factor of p(x)=3x3+3x2−21x−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)

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