Question

What is the remainder when (x3 − 7x2 − 18x + 42) is divided by (x + 3)?

Answer 1

Look at the picture.
The remainder is 6.

Answer 2

6

Explanation:

You can use Ruffini's rule to divide x^3 − 7x^2 − 18^x + 42 by x + 3 as follows :

| 1 -7 -18 | 42

-3 | -3 30 | -36

--------------------------

| 1 -10 12 | 6

Then (x^3 − 7x^2 − 18^x + 42) : (x + 3) = (x^2 - 10x +12)*(x + 3) + 6