How do you divide #(10x^4+5x^3+4x^2-9)div(x+1)# using synthetic division?

1 Answer
Feb 24, 2017

Answer:

The quotient is #=10x^3-5x^2+9x-9# and the remainder #=0#

Explanation:

We perform a synthetic division

#color(white)(aaaa)##-1##color(white)(aaaa)##|##color(white)(aaaa)##10##color(white)(aaaa)##5##color(white)(aaaaa)##4##color(white)(aaaaaa)##0##color(white)(aaaa)##-9#

#color(white)(aaaaaa)##color(white)(aaaaa)##|##color(white)(aaa)##color(white)(aaaa)##-10##color(white)(aaaaa)##5##color(white)(aaaaa)##-9##color(white)(aaaaa)##9#

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

#color(white)(aaaa)##color(white)(aaaaaa)##color(white)(aaaaaa)##10##color(white)(aaa)##-5##color(white)(aaaaa)##9##color(white)(aaaaa)##-9##color(white)(aaaaa)##color(red)(0)#

The remainder is #=0#

The quotient is #=10x^3-5x^2+9x-9#