The polynomial is an expression which consist variable and coefficient. The correct polynomial can be find by using cross multiplication rule.
The correct polynomial is (x-2).
Given:
The given expression is as follows,
[tex]\dfrac{\left(x^2-4\right)}{\left(x+2\right)}=\left(x-2\right)[/tex]
We can write [tex](x-2)[/tex] as,
[tex]\dfrac {(x-2)}{1}[/tex]
Now further solve the above equation.
[tex]\dfrac{\left(x^2-4\right)}{\left(x+2\right)}=\dfrac{\left(x-2\right)}{1}[/tex]
Cross multiply the above expression.
[tex](x+2)(x-2)=(x^2-4)[/tex]
Thus, the correct polynomial is (x-2).
Learn more about polynomial here:
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