What is the greatest common factor (GCF) of the numerator and denominator of the rational expression below? 3x-15/x^2-x-20

Question

asked Oct 12, 2019 191k views

2 Answers

Zarathuztra · Answer 1 · 2019-10-16T08:33:49+0000

Answer:
(x-5)

Explanation:

The given expression :
(3x-15)/(x^2-x-20) [Taking as common outside]

$\text{Polynomial in numerator=}3x-15=3(x-5)$

$\text{Polynomial in denominator=} x^2-x-20\\\\=x^2-5x+4x-20\\=-x(x-5)+4(x-5)\\=(x-5)(x+4)$

We can see that the greatest common factor (GCF) of the numerator and denominator of given the rational expression =