Question

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

Answer 1

Answer: x-5

Explanation:

A P E X

Answer 2

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 =
`(x-5)`