Question

2. Use the long division method to find the result when

3x³ + 17x² - 16x-16 is divided by 3x - 4.

Answer 1

x² + 5x + 11

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

3x - 4 | 3x³ + 17x² - 16x - 16

- (3x³ - 4x²)

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

21x² - 16x

- (21x² - 28x)

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

12x - 16

- (12x - 16)

---------

0

Therefore, the result when 3x³ + 17x² - 16x - 16 is divided by 3x - 4 is x² + 5x + 11.