How do you divide #(3x^4+22x^3-2x^2+2x-7)/(x-2) #?

1 Answer
Barney V.
May 28, 2017

#color(blue)(3x^3+28x^2+54x+110 # and remainder of #color(blue) 213#

Explanation:

# color(white)(.............)3x^3+28x^2+54x+110#
#color(white)(aa)x-2##|##overline(3x^4+22x^3-2x^2+2x-7)#

#color(white)(..............)ul(3x^4-6x^3)#
#color(white)(........................)28x^3-2x^2#
#color(white)(........................)ul(28x^3-56x^2)#
#color(white)(...................................)54x^2+2x#
#color(white)(....................................)ul(54x^2-108x)#
#color(white)(...............................................)110x-7#
#color(white)(...............................................)ul(110x-220)#
#color(white)(............................................................)213#

#color(blue)(3x^3+28x^2+54x+110 # and remainder of #color(blue) 213#

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