Fill in the missing numbers to complete the factorization. some of the numbers could be negative. type the numbers in increasing order.

x 3 + 2x 2 - x - 2 = (x + )(x + + )

(x-1)(x+1)(x+2)

Step-by-step explanation:

Lets use grouping method to factor

We group first two terms and last two terms

Factor out GCf from each group

GCf for first group is x^2 and for second group is -1

We have x+2 in common , so we factor out x+2

Now we factor x^2 -1

We use difference  of squares formula a^2-b^2 = (a+b)(a-b)

x^2 -1 can be written as x^2 - 1^2

So factors are (x+1)(x-1)(x+2)

We write it in increasing order

(x-1)(x+1)(x+2)