Question

What is the greatest common factor of the numerator of ?

Answer 1

The greatest common factor of the numerator and denominator of the rational expression is x - 4

How to determine the greatest common factor?

The fraction expression is given as:

$\frac{5x-20}{x^2-2x-8}$

Factorize the numerator and the denominator

$\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}$

Cancel out the common factor

$\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}$

The common factor that was canceled out is x - 4

Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4

Read more about greatest common factors at:

brainly.com/question/10076354

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