How do you divide #(4x+2x^3+7x^2-1)div(x+1)# using synthetic division?

1 Answer
Narad T.
Nov 5, 2016

The result is #2x^2+5x-1#

Explanation:

Let's do the long division
#color(white)(aa)##2x^3+7x^2+4x-1##color(white)(aa)##∣##x+1#
#color(white)(aa)##2x^3+2x^2##color(white)(aaaaaaaaaa)##∣##2x^2+5x-1#
#color(white)(aaaa)##0+5x^2+4x#
#color(white)(aaaaaaaa)##5x^2+5x#
#color(white)(aaaaaaaaaa)##0-x-1#
#color(white)(aaaaaaaaaaaa)##-x-1#
#color(white)(aaaaaaaaaaaa)##-0-0#

#(2x^3+7x^2+4x-1)/(x+1)=2x^2+5x-1#

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