Question

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

Answer 1

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.