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

Question

asked Jul 17, 2024 229k views

1 Answer

LaBUBU · Answer 1 · 2024-07-22T01:57:32+0000

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.