Find f (x) divided by g (x)

f (x) = 2x^2+x-6 and g (x) = x^2-4

A) 2x-3/x+2

B) 2x+3/x-2

C) 2x+3/x+2

D) 2x-3/x-2

(2x - 3) / (x-2)

Step-by-step explanation:

divide the given equations:

(2x^2 + x - 6) / (x^2 - 4)

but first do some rearrangements

x^2 - 4 = (x - 2) * (x + 2)

and

(2x^2 + x - 6) = (2x - 3) * (x + 2)

when you write the whole equation as a fraction

(x+2) will be eliminated from both sides and only (2x - 3) / (x - 2) will be left

we can't do further calculations so it's the simplest way to write it