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what is the greatest common factor (GCF) of the numerator and denominator of the rational expression below? 4x+20/x^2+2x-15

what is the greatest common factor (GCF) of the numerator and denominator of the rational-example-1

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4 votes

Answer: B. x + 5

Explanation:

We will factor the numerator and denominator to find the greatest common factor (GCF) of the rational expression given.

Given:


\displaystyle (4x+20)/(x^2+2x-15)

Factor the numerator:


\displaystyle (4(x+5))/(x^2+2x-15)

Factor the denomiator:


\displaystyle (4(x+5))/((x-3)(x+5))

The greatest common factor is x + 5, so our answer is option B.

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