How do you divide (2x^2-6x+6)/(2x - 3)2x26x+62x3?

1 Answer
Jun 22, 2016

x-3-3/(2x-3)x332x3

Explanation:

(2x^2-6x+6)-:(2x-3)(2x26x+6)÷(2x3)

color(magenta)(
color(white)(
" "2x^2-6x+6 2x26x+6
color(magenta)(x)(2x-3) ->" "ul(2x^2-3x" ")larr" Subtract"
" "0color(white)(.)-6x+6
color(magenta)(-3)(2x-3)->" "ul(-6x+9)larr" Subtract"
" "0color(white)(.)color(magenta)(-3)larr" Remainder"
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

color(magenta)(x-3-) (color(magenta)(3))/(2x-3)