The completed synthetic division is
1 | 3 -4 1 2
| 3 -1 -2
3 -1 -2 0
Filling the missing values to complete the synthetic division.
From the question, we have the following parameters that can be used in our computation:
The synthetic division
The first number in the box is the same as the number at the bottom
This meas that, we have
[ ] | 3 -4 1 [ ]
| 3 [ ] [ ]
3 -1 -2 0
The above means that the missing number in the first box is 1
This is so because
3/3 = 1
So, we have
1 | 3 -4 1 [ ]
| 3 [ ] [ ]
3 -1 -2 0
Solving further, we have
1 | 3 -4 1 2
| 3 -1 -2
3 -1 -2 0
Hence, the completed synthetic division is
1 | 3 -4 1 2
| 3 -1 -2
3 -1 -2 0