How do you use synthetic division to divide #(-x^3+75x-250)div(x+10)#?

1 Answer
Nov 28, 2017

Answer:

The remainder is #0# and the quotient is #=-x^2+10x-25#

Explanation:

Let's perform the synthetic division

#color(white)(aaaa)##-10##|##color(white)(aaaa)##-1##color(white)(aaaa)##0##color(white)(aaaaaa)##75##color(white)(aaaa)##-250#

#color(white)(aaaaaaaa)####|##color(white)(aaaa)####color(white)(aaaaaa)##10##color(white)(aaa)##-100##color(white)(aaaaa)##250#

#color(white)(aaaaaaaaa)###_________________________________________________________##

#color(white)(aaaaaaaa)####|##color(white)(aaaa)##-1##color(white)(aaaa)##10##color(white)(aaaa)##-25##color(white)(aaaaaa)##color(red)(0)#

The remainder is #0# and the quotient is #=-x^2+10x-25#