Answer:
To divide (k³ - 30k - 18 - 4k²) by (3 + k), we can use long division.
lua
-k^2 - 3k - 6
-------------------
3 + k | k^3 - 4k^2 - 30k - 18
- k^3 - 3k^2
---------------
- k^2 - 30k
+ k^2 + 3k
------------
-27k - 18
+27k + 81
----------
63
Therefore, (k³ - 30k - 18 - 4k²) ÷ (3 + k) = -k^2 - 3k - 6 with a remainder of 63.