Question

Using long division solve `(12x^2+9x-7)-:3x`?

Answer 1

`4x+3-7/(3x)`

Explanation:

`(12x^2+9x-7) color(blue)(-:3x)`

`" "12x^2+9x-7`
`color(magenta)(4x)color(blue)((3x))->color(white)(.) ul(12x^2" ")larr" subtract"`
`" "0+9x-7`
`color(magenta)(3)color(blue)((3x))->" "ul(color(white)(.)9x" ")larr" subtract"`
`" "0color(magenta)(-7""larr" remainder")`
;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(magenta)(4x+3-7/(color(blue)(3x)))`