Question

How do you divide `(3x^2 + 5x + 7) / (x + 1)`?

Answer 1

`3x+2+5/(x+1)`

Explanation:

`" "3x^2+5x+7`
`color(magenta)(+3x)(x+1)->" "ul(3x^2+3x) larr" Subtract"`
`" "0+2x+7`
`color(white)(.)color(magenta)(+2)(x+1)->" " ul(2x+2larr" Subtract"`
`" "color(magenta)(+5 larr" Remainder")`

`color(magenta)(3x+2+5/(x+1)`