Final answer:
To complete the division, use synthetic division to divide -18x - 7 by 2x + 3a. The remainder is 0.
Step-by-step explanation:
To complete the division problem -18x - 7 divided by 2x + 3a, we can use synthetic division. Let's set up the division problem:
2x + 3a
|
-18x - 7
First, we divide -18x by 2x, which gives us -9. We then multiply 2x + 3a by -9 and subtract the result from -18x - 7:
2x + 3a
|
-18x - 7
-9
-9(2x + 3a) = -18x - 27a
-----------------
-18x - 27a - 7
Next, we divide -18x - 27a by 2x, which gives us -9a - 7/2x. There is no remainder in this division problem.
Therefore, the remainder is 0.