How do you divide #(3x^2+11x+1)div(x-3)# using long division?

1 Answer
Barney V.
Mar 27, 2017

quotient#color(blue)(=3x+20# and remainder#color(blue)(=60#

Explanation:

# color(white)(aaaaaaaaaa)##color(blue)(3x+20#
#color(white)(aaaaaaaaaa)##------#
#color(white)(aaaa)x-3##|##3x^2+11x+1##color(white) (aaaa)##∣##color(blue)#
#color(white)(aaaaaaaaaa)##3x^2-9x##color(white)#
#color(white)(aaaaaaaaaa)##----#
#color(white)(aaaaaaaaaaa)##0+20x+1#
#color(white)(aaaaaaaaaaaaaa)##20x-60#
#color(white)(aaaaaaaaaaaaaaaaa)##---#
#color(white)(aaaaaaaaaaaaaaaaa)##0+60#

remainder is #color(blue)(=60# and the quotient is #color(blue)(=3x+20#

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