Respuesta :

Answer:

Its x+2

Step-by-step explanation:

Answer:   a. (x +1)    b. (x + 2)    d. (x - 3)

Step-by-step 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)