Question

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

Answer 1

Using synthetic division:

| 4 + 3 – 10 + 3 – 3 + 6;
|
|
–4| - 16 52 - 168 + 660 -2628
----------------------------------------------------------
4 - 13 42 - 165 + 557 -2622

Remainder: - 2622