In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
4 x³ - 8 x² - 9 x + 18
Step 02:
(4 x³ - 8 x²) + (- 9 x + 18)
(4 x³ - 8 x²) = 4x² ( x - 2)
(- 9 x + 18) = - 9 ( x - 2)
- 9 ( x - 2) + 4x² ( x - 2)
(x - 2) (4x² -9)
(4x² -9) = (2x + 3) (2x - 3)
(x - 2) (2x + 3) (2x - 3)
The answer is:
(x - 2) (2x + 3) (2x - 3)