We are asked to perform synthetic division of the given expression such as (x6 - 250x2 - 96) by (x-4). In order for us to solve this problem, we need to complete the expression and fill the missing part such as:
x6 + 0x5 + 0x4 + 0x3 - 250x2 +0x -96
Then start the solution such as;
+4 | 1 0 0 0 -250 0 -96
| 4 16 64 256 24 96
|-------------------------------------------
1 4 16 64 6 24 0
The answer is X5 + 4X4 + 16X3 + 64X2 + 6X + 24 with no remainder.