Which of the following is the reciprocal of x2 – 2x – 8?

Hi again

x² - 2x - 8
Factor
= (x + 2)(x -4)
Answer : A is the correct option.

If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
(x)(x) + (x)(-4)+(2)(x)+(2)(-4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Here it is, we find the exam answer.

Thus, (x+2)(x-4) is the reciprocal of x² -2x - 8

I hope that's help !