Question

If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?

(x + 2) ´ ______ = x2 – 4


A.x2 – 4

B.x – 2

C. x + 2

D. x2 – 2

Answer 1

(x + 2) (x - 2) = x^2 – 4

answer
B.x – 2

Answer 2

Explanation:

Alright, lets get started.

Given that:

`((x^2-4))/((x+2))=(x-2)`

(x-2) could be written as
`(x-2)/(1)`

`((x^2-4))/((x+2))=((x-2))/(1)`

Doing cross multiply

`(x+2)(x-2)=(x^2-4)*1`

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

It means the blank part is (x-2) : Answer

Hope it will help :)