How do you divide #(10r^3-22r^2-17r-21)div(r-3)# using synthetic division?

1 Answer
Oct 30, 2016

Answer:

The answer is #=10r^2+8r+7#

Explanation:

Let's do the division
#10r^3-22r^2-17r-21##color(white)(aaaa)##∣##r-3#
#10r^3-30r^2##color(white)(aaaaaaaaaaaaaa)##∣##10r^2+8r+7#
#color(white)(aa)##0+8r^2-17r#
#color(white)(aaaa)##+8r^2-24r#
#color(white)(aaaaaaa)##0+7r-21#
#color(white)(aaaaaaaaaaa)##7r-21#
#color(white)(aaaaaaaaaaaa)##0-0#

So we have #(10r^3-22r^2-17r-21)/(r-3)=10r^2+8r+7#