Answer: a. (x +1) b. (x + 2) d. (x - 3)
Explanation:
x³ - 2x² - 5x + 6 --> possible ration roots are 1, 2, 3, 6
Try x = -1 using synthetic division --> factor (x + 1)
1 | 1 -2 -5 6
| ↓ 1 -1 -6
1 -1 -6 0 ← Remainder is 0 so x + 1 is a factor
Now factor the reduced polynomial
x² -x -6
= (x + 2)(x - 3)
So, the three factors are: (x + 1)(x + 2)(x - 3)