Using synthetic division, find (x6 − 250x2 − 96) (x − 4).

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.

21/2 or 5/2