How do you divide #(5x^2-2x+4)/(x-1)#?

1 Answer
Apr 6, 2018

#5x+3+7/(x-1)#

Explanation:

#(5x^2-2x+4)/(x-1)#

#color(white)(....,,......)5x+3#
#x-1|overline(5x^2-2x+4)#
#color(white)(............)ul(5x^2-5x)#
#color(white)(.....................)3x+4#
#color(white)(..........,,......)ul(3x-3)#
#color(white)(............................)7#

#(5x^2-2x+4) / (x-1) = 5x+3+7/(x-1)#