Final answer:
The quotient of (12x^2 - 10x - 12) ÷ (3x + 2) is 4x - 6.
Step-by-step explanation:
To divide (12x2 - 10x -12) by (3x + 2), we can use polynomial long division:
4x - 6
-----------------
3x + 2 | 12x2 - 10x - 12
12x2 + 8x
-----------
-18x - 12
-18x - 12
------------
0
The quotient is 4x - 6.