How do you simplify and divide #(9d^3+5d-8)/(3d-2)#?

1 Answer
Feb 4, 2017

#3d^2+2d+3# with remainder#-2#

Explanation:

# color(white)(aaaaaaaaaaaa)##3d^2+2d+3#
#color(white)(aaaaaaaaaaaa)##-----#
#color(white)(aaaaa)3d-2##|##9d^3 +5d-8#
#color(white)(aaaaaaaaaaaa)##9d^3-6d^2##color(white)#
#color(white)(aaaaaaaaaa)##----#
#color(white)(aaaaaaaaaaaaaa)##0+6d^2+5d#
#color(white)(aaaaaaaaaaaaaaaaaa)##6d^2-4d#
#color(white)(aaaaaaaaaaaaaaaaa)##---#
#color(white)(aaaaaaaaaaaaaaaaaa)##0+9d-8#
#color(white)(aaaaaaaaaaaaaaaaaaaa)##+9d-6#
#color(white)(aaaaaaaaaaaaaaaaaaa)##---#
#color(white)(aaaaaaaaaaaaaaaaaaaaaaa)##0-2#

The remainder is #=-2# and the quotient is #=3d^2+2d+3#