Question

What do the results of this synthetic division mean? How do I get it in to this form?

Answer 1

I want to
\[\frac{ x^2 +2x }{ (x+1)^2 } = 1-\frac{ 1 }{ x^2+2x+1 }\]

Answer 2

I got s+1 from dividing x+1 with x^2 +2x

Answer 3

do I have to do it twice since my denominator is (x+1)^2?

Answer 4

and I also got a remainder of -1