They want you to use polynomial long division. There should be a portion of your reading material or course notes that explains the method. If not, Google the subject for references.
The answer I get is:
4x^2 + 16x + 64 + 255/(x-4)
Perform the division and write your answer in form. g(x)+r(x)/ d(x)
(4x^3-1)/ (x-4)
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