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Mathematics

Answered

Factor by grouping: x^3+2x^2−4x−8. Which of the following is one of the factors?
A. (x2−4x)
B. (x−2)
C. (x2−2)
D. (x2−4)

Answer :

Samanthasummers12013go Samanthasummers12013go

Answer:

B. (x−2)

Step-by-step explanation:

Factor out x^2

x^2(x+2)-4x-8

Factor out 4

x^2(x+2)-4(x+2)

Now combine

(x^2-4)(x+2)

Factor x^2-4 (notice that it is a difference of squares)

(x+2)(x-2)(x+2) -x+2 is twice so we can square it

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

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Matticksowt7vsgo Matticksowt7vsgo

The answer would be B

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