What is the remainder of: (x^3 - 13x^2 + 40x +18) / (x - 7)

Answer 1

The divisor (x-7) is linear, so we can use Synthetic Division with this form:

7 | 1 -13 40 18

--_____________

Filling in the steps:

7| 1 -13 40 18

-- 7 -42 -14

______________

7 -6 -2 -4

7*1 = 7

-13+7 = -6

7*-6 = -42

40+-42=-2

7*-2=-14

18+-14 = 4

The remainder is 4.