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NikAS [45]
3 years ago
15

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 +_______________ )
Mathematics
2 answers:
MissTica3 years ago
8 0
(x-1)(x+1)(x+2)
Hope this helps
Kisachek [45]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Lets use grouping method to factor

x^3+2x^2-x-2

We group first two terms and last two terms

(x^3+2x^2)+(-x-2)

Factor out GCf from each group

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

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

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

(x^2-1) (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

x^2 - 1^2 = (x+1)(x-1)

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

We write it in increasing order

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


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