How do you divide #(5x^3-6x^2+3x+11)div(x-2)# using synthetic division?

1 Answer
Mar 19, 2017

Answer:

The remainder is #=33# and the quotient is #=5x^2+4x+11#

Explanation:

Let's perform the synthetic division

#color(white)(aaaa)##2##color(white)(aaaaa)##|##color(white)(aaaa)##5##color(white)(aaaa)##-6##color(white)(aaaa)##3##color(white)(aaaa)##11#
#color(white)(aaaaaaaaaaaa)#________

#color(white)(aaaa)####color(white)(aaaaaaa)##|##color(white)(aaaa)####color(white)(aaaaa)##10##color(white)(aaaa)##8##color(white)(aaaa)##22#
#color(white)(aaaaaaaaaaaa)#________
#color(white)(aaaa)####color(white)(aaaaaaa)##|##color(white)(aaaa)##5##color(white)(aaaa)##4##color(white)(aaaaa)##11##color(white)(aaaa)##color(red)(33)#

The remainder is #=33# and the quotient is #=5x^2+4x+11#