How do you divide x^3+6x^2-2x+3x3+6x2−2x+3 by x-3?

1 Answer
Tony B
Jun 27, 2017

x^2+9x+25+78/(x-3)x2+9x+25+78x−3

Explanation:

" "x^3+6x^2-2x+3 x3+6x2−2x+3
color(magenta)(x^2)(x-3) ->ul(x^3-3x^2larr" Subtract")
" "0+9x^2-2x+3
color(magenta)(9x)(x-3)->" "ul(9x^2-27xlarr" Subtract")
" "0+25x+3
color(magenta)(25)(x-3)->" "ul(25x-75larr" Subtract")
" "color(magenta)(0+78 larr" Remainder")

color(magenta)( x^2+9x+25+78/(x-3))

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