Answer :

To solve for the remainder in the synthetic division problem, we need to understand that the question involves dividing 12 by 33 and determining what the remainder is.

Here's a step-by-step breakdown:

1. Understand the Division Process:
We are dividing a number 12 by 33. The division process in this case is similar to asking how many times 33 fits into 12 completely, and what is left over after doing so.

2. Perform the Division:
We quickly notice that 33 is greater than 12, meaning 33 goes into 12 zero times when considering whole numbers.

3. Determine the Remainder:
Because 33 does not fit into 12 at least once as a whole, the entire 12 remains as the remainder.

Thus, when dividing 12 by 33, the remainder is 12.

The correct answer would be:
None of the listed options (A, B, C, D) correctly represent the remainder, as the remainder is 12.

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