How do you divide #(m^3-13m^2+24m+18)div(m-3)# using synthetic division?

1 Answer
Feb 28, 2017

Answer:

The remainder is #=0#
The quotient is #=m^2-10m-6#

Explanation:

We perform a synthetic division

#color(white)(aaaa)##3##color(white)(aaaa)##|##color(white)(aaaa)##1##color(white)(aaaa)##-13##color(white)(aaaaaaa)##24##color(white)(aaaaaa)##18##color(white)(aaaaaa)###

#color(white)(aaaaaa)##color(white)(aaa)##|##color(white)(aaa)##color(white)(aaaaaaaaa)##3##color(white)(aaaaa)##-30##color(white)(aaaa)##-18##color(white)(aaaaaa)###

#color(white)(aaaaaaaaaa)#------------------------------------------------------------

#color(white)(aaaa)color(white)(aaaaaa)color(white)(aaaaaa)1color(white)(aaaa)-10##color(white)(aaaaa)-6color(white)(aaaaa)color(white)(aa)color(red)(0)#

The remainder is #=0#

The quotient is #=m^2-10m-6#