Question

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

Answer 1

Answer:

X-2 is the correct answer! Edge 2020

Step-by-step explanation:

Answer 2

Answer:

x - 2

Step-by-step explanation:

Given expression,

$(x^2-4)\div (x+2)=x-2$

$\frac{x^2-4}{x+2}=x-2$

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

$\frac{x^2-4}{x+2}\times (x+2)=(x-2)\times (x+2)$

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

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

Thus, SECOND OPTION is correct.