Question

How do you divide `(5x^2 + 22x + 8)/( 6x+8)`?

Answer 1

`5/6x+23/9 - 112/(54x+72)`

Explanation:

I am afraid you are into fractions with this one!

`" "5x^2+22x+8`
`5/6x(6x+8) ->" "ul(5x^2+40/6x) larr" subtract"`
`" "0+46/3x+8`
`46/(3xx6)(6x+8)->" " ul(46/3x+184/9) larr" subtract"`
`" "0 -112/9`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`(5x^2+22x+8)/(6x+8)" "=" "5/6x+23/9 - 112/(9(6x+8))`

`" "=5/6x+23/9 - 112/(54x+72)`

`color(red)("That was cruel!!!!")`