How do you divide (6x^3-12x^2-5x+3) / (6x-9) using long division?

1 Answer
Tony B
Nov 20, 2016

x^2-1/2x-19/12-45/(5(6x-9))

Explanation:

Start point" "->" "6x^3-12x^2-5x+3
color(red)(x^2)(6x-9) ->" "ul(6x^3-9x^2) larr" Subtract"
" "0-3x^2-5x+3
color(red)(-1/2x)(6x-9)->" " ul(-3x^2+9/2x) larr" Subtract"
" "0 -19/2x+3
color(red)(-19/12)(6x-9)->" "ul( -19/2x+57/4) larr" Subtract"
" "color(red)(0 -45/5 larr" Remainder")

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

color(blue)((6x^3-12x^2-5x+3)/(6x-9)" "=" ")color(red)(x^2-1/2x-19/12-45/(5(6x-9))

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