How do you divide #(r^3+6r^2-21r-18) div (r-3)# using synthetic division?

1 Answer
Barney V.
Jan 20, 2017

#=r^2+9r+6#

Explanation:

#(r^3+6r^2-21r-18)-:(r-3)#

#color(white)(aaaa)##3|#######
#color(white)(aaaaaaaaaaa)##---------#
#color(white)(aaaaaaaaaaaa)#1#color(white)(aaaa)#6#color(white) (aaaa)#-21#color(white)(aaaa)#-18
#color(white)(aaaaaaaaaaaa)##color(white)(aaaaa)#3#color(white) (aaaa)#27#color(white)(aaaa)#18
#color(white)(aaaaaaaaaaa)##---------#
#color(white)(aaaaaaaaaaaa)#1#color(white)(aaaa)#9#color(white) (aaaa)#6#color(white)(aaaaaa)#0=remainder
#color(white)(aaaaaaaaaaa)##---------#

#r-3=0#

#r=3#

#:.#= # r^2+9r+6#

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