What is the greatest common factor (GCF) of the numerator and denominator of the rational expression below?6𝑥+18𝑥2−𝑥−12x 2 −x−126x+18​ A.xB.6C.x - 4D.x + 3SUBMITarrow_backPREVIOUS

The question is asking for the greatest common factor (GCF) of the numerator and the denominator of the given rational expression.

The rational expression is (6x + 18) / (x^2 - x - 12).

First, we need to factorize the numerator and the denominator.

The numerator, 6x + 18, can be factorized by taking out the common factor, which is 6. So, 6x + 18 = 6(x + 3).

The denominator, x^2 - x - 12, is a quadratic expression and can be factorized into (x - 4)(x + 3).

So, the rational expression becomes 6(x + 3) / (x - 4)(x + 3).

The greatest common factor (GCF) of the numerator and the denominator is (x + 3).

So, the answer is D. x + 3.