divide using synthetic division and write a summary in fraction form:
(x^3-5x^2+3x-2)/(x+1)
The answer should come out to be
x^2-6x+9+(-11/(x+1))
but i have no idea how to get there. Halp!

Question

divide using synthetic division and write a summary in fraction form:
(x^3-5x^2+3x-2)/(x+1)
The answer should come out to be 
x^2-6x+9+(-11/(x+1))
but i have no idea how to get there. Halp!

anonymous · Answer

if you can open this, it will show you, if not i can walk you through it 
www.mathportal.org/calculators/polynomials-solvers/synthetic-division-calculator.php?formId=0&combo1=2&combo2=1&val4=1&combo3=2&val3=5&combo4=1&val2=3&combo5=2&val1=2&combo6=1&val6=1&rb1=div&ch1=expl

tkhunny · Answer

Did you do the synthetic division?

anonymous · Answer

I did it on my own separately and then i also found this and thought it'd be easier

tkhunny · Answer

What were the results across the bottom?  Was it 1 -6 9 -11?

anonymous · Answer

@tkhunny yea

tkhunny · Answer

Perfect.  You did it very well and you are done.  You just don't know it!!!  That's good news.  :-)

Compare the results of the bottom line to the coefficients in the "answer".

x^2-6x+9+(-11/(x+1))

1, -6, 9, -11

Coincidence?  No.

anonymous · Answer

ya, I got that but i dont know if they got the same thing XD

tkhunny · Answer

Who are these "they"?

If you did the synthetic division correctly (and you did), and obtained 1, -6, 9, -11, then you have proven that: $\dfrac{x^{3}-5x^{2}+3x-2}{x+1} = x^{2} - 6x + 9 - \dfrac{11}{x+1}$.

I'm not seeing the problem.

anonymous · Answer

Yes but im not the one that asked the question lol

tkhunny · Answer

??  Well, no one can help you if you fail to provide pertinent facts.  Good luck.