Hey guys,

Was wondering how I could do this:

the question asks to find the exact roots of each equation and then for equation (g) I have this:

1 - 1/x = 1/x^3 - 1/x^2

I got this far:

0 = 1/x^3 - 1/x^2 + 1/x - 1
Then I looked for common factors of (-1) which were either +/- 1, when I used the factor theorem to find if (x-1) was a factor I proved it correct! So now that is where I am stuck:

(1/x^3 - 1/x^2 + 1/x -1) / (x-1) = ???

How would I do this? I am thinking maybe you use like the negative intervals as in: 1/x^3 becomes x^-3 but then when I divide I would get x^-4 or 1/x^4 which I do not want and can not have I believe!

Can someone help out please?