Question

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

Answer 1

`x-1 + 2/(x-1)`

Explanation:

`color(white)("XXXX")x-1`
`x-1 )bar( x^2 -2x+3)`
`color(white)("XXXX")underline(x^2-x)`
`color(white)("XXXXXX")-x+3`
`color(white)("XXXXXX")underline(-x+1)`
`color(white)("XXXXXXXXXX")2`