Answer:
Let us begin by simplifying the expression (-18x^3 + 17 +6) / (3x + 2):
- Combine the constants (17+6) to get 23.
- We now have (-18x^3 + 23) / (3x+2).
- Factor out -3 from the numerator to get -3(6x^3 -23)/ (3x+2).
- We can now cancel out the (3x+2) in both the numerator and denominator to get:
-3(6x^2 - 4x + 3)
Therefore, the answer is (C) -6x^2 + 4x - 3.