Question

How do you divide `\frac{x^2+3x+6}{x+1}`?

Answer 1

`x+2+4/(x+1)`

Explanation:

`color(white)("ddddddddd.d")x^2+3x+6`
`color(magenta)(+x)(x+1)-> ul(x^2+x larr" Subtract")`
`color(white)("ddddddddddd")0+2x+6`
`color(magenta)(+2)(x+1)->color(white)("ddd.")ul(2x+2larr" Subtract")`
`color(white)("dddddddddddddddd")0color(magenta)(+4larr" Remainder")`

`color(magenta)(x+2+4/(x+1))`