What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

a. - 6

b. 7

c. x+2

d. 2x-3

The answer is C. The numerator 7x+14 can be factored as 7 (x+2). The denominator 2x^2+2x-6 can be factored as (x+2) (2x-3). The greatest common divisor of 7 (x+2) and (x+2) (2x-3) is obviously x+2, which is contained in both of the two expressions.