Question

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

Answer 1

The polynomial which shoud be filled in the blank is (x+2).

Given expression ($x^{2} -4)/x^{2} =x-2$  and the expression (x+2)____=$(x^{2} -4)$

We have to  find a polynomial which fills the blank in the given expression.

Polynomial is expression of more than two algebraic terms mainly the sum of several terms that contain different powers of the same variable.

We have been given $(x^{2} -4)/x+2=x-2$

first multiply both sides by (x+2)

($x^{2}$-4)/(x+2) *(x+2)=(x-2)(x+2)

cancelling (x+2) from numerator and denominator we get

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

If we carefully observes the expression we found that both the given expression in which blank takes place are same just on the place of blank there is (x+2).

Hence the polynomial which fills the blank is (x+2).

Learn more about polynomials at brainly.com/question/2833285

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Question is wrong as in this the expressions would be :

($x^{2} -4)/x+2=x-2$ and (x+2)____=$x^{2} -4$