Question

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

(x + 2) ´ ______ = x2 – 4
x2 – 4
x – 2
x + 2
x2 – 2

Answer 1

X-2 is the correct answer! Edge 2020

Explanation:

Answer 2

x - 2

Explanation:

Given expression,

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

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

Multplying both sides by x + 2 ( Division property of equality )

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

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

`\implies x^2-4=(x+2)(x-2)` ( By commutative property )

Thus, SECOND OPTION is correct.