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

(x + 2) ´ ______ = x^2 – 4

A. x^2 – 4
B. x – 2
C. x + 2
D. x^2 – 2

Respuesta :

The answer is x-2 because dividing is the opposite of mutiplying. Hope this helps.

Option (b) [tex](x-2)[/tex] is the correct answer.

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

So, [tex](x+2)*(x-2)[/tex]

     [tex]=x^{2} -2x+2x-4[/tex]

     [tex]=x^{2} -4[/tex]

Therefore, LHS is equal to RHS.

Hence, [tex](x-2)[/tex] is the polynomial that should be filled in that place.

Learn more about polynomial, refer to:

https://brainly.com/question/1600696

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