Question

How do you divide `(x^3 -x^2+1 )/ (x - 1)`?

Answer 1

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

Explanation:

`(x^3-x^2+1)/(x-1) = (x^2(x-1)+1)/(x-1) = (x^2color(red)(cancel(color(black)((x-1)))))/color(red)(cancel(color(black)((x-1))))+1/(x-1) = x^2+1/(x-1)`