How do you divide #(3x^2+4x-x^4-2x^3-4)div(x+2)# using synthetic division?

1 Answer
Feb 28, 2017

Answer:

The remainder is #=0#
The quotient is #=-x^3+3x-2#

Explanation:

We perform a synthetic division

#color(white)(aaaa)##-2##color(white)(aaaa)##|##color(white)(aaaa)##-1##color(white)(aaaa)##-2##color(white)(aaaaa)##3##color(white)(aaaaaa)##4##color(white)(aaaaaa)##-4#

#color(white)(aaaaaa)##color(white)(aaaaa)##|##color(white)(aaa)##color(white)(aaaaaaaaa)##2##color(white)(aaaaa)##0##color(white)(aaaaa)##-6##color(white)(aaaaaa)##4#

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

#color(white)(aaaa)##color(white)(aaaaaa)##color(white)(aaaaaa)##-1##color(white)(aaaaaa)##0##color(white)(aaaaa)##3##color(white)(aaaaa)##-2##color(white)(aaaaaa)##color(red)(0)#

The remainder is #=0#

The quotient is #=-x^3+3x-2#