Determine the remainder by using synthetic or long division to divide the given function by the factor (x-c), where c is given. f(x) = 4x5 + 3x4 – 10x3 + 3x2 – 3x + 6; c = –4

Using synthetic division:

    |  4   + 3    – 10      + 3         – 3        + 6;
    |
    |
–4|       - 16      52    - 168      + 660    -2628

     4     - 13      42     - 165     + 557    -2622

Remainder: - 2622