For this case we have the following expression:
(-4x ^ 3 + x ^ 2-4x + 2) / (x + 4)
By doing the division we have as a result:
Quotient = -4x ^ 2 + 17x - 72
Remainder = 290
Note: see attached image to see the step by step of the division.
Answer:
Quotient = -4x ^ 2 + 17x - 72
Remainder = 290