How do you divide ( x^3 + x^2 + 4x + 4 )/(x - 2 )x3+x2+4x+4x2?

1 Answer
Jul 9, 2016

x^2+3x+10+24/(x-2)x2+3x+10+24x2

Explanation:

color(white)(..)..

" "x^3+x^2+4x+4 x3+x2+4x+4
color(red)(+x^2)(x-2)->color(white)(.)ul(x^3-2x^2)" "larr" Subtract"
" "0color(white)(.)+3x^2+4x+4
color(red)(+3x)(x-2)->" "color(white)(.)ul(3x^2-6x)" "larr" Subtract"
" "0+10x+4
color(red)(+10)(x-2)->" "ul(10x-20)" "larr" Subtract"
" "color(red)(0+24" "larr" Remainder")

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(x^3+x^2+4x+4) -:(x-2)" "color(red)(=" "x^2+3x+10+24/(x-2)