Question

How do you find the quotient of `(n^2+3n+10)div(n-1)` using long division?

Answer 1

`n-4` and remainder of`6/(n-1)`

Explanation:

`color(white)(..........)color(white)(............)n-4`
`n-1|overline(n^2+3n+10)`
`color(white)(............)ul(n^2-n)`
`color(white)(......................)4n+10`
`color(white)(......................)ul(4n+04)`
`color(white)(..................................)6`

`(n^2+3n+10) / (n-1) = n-4+6/(n-1)`