Question

Use the long division method to find the result when 9x³ +30x² + 10x - 24 is

divided by 3x + 8. If there is a remainder, express the result in the form
q(x)+7(2).

Answer 1

8

3x² + 2x - 2 - ----------

3x + 8

Explanation:

3x² + 2x - 2

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

3x + 8 | 9x³ + 30x² + 10x - 24

-9x³ - 24x² ↓

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

6x² + 10x

-6x² - 16x ↓

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

-6x - 24

+6x + 16

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

-8

I hope this helps!