SOLUTION: Please help with this question. I understand how to do polynomial long division but I am very confused with this one...Please show work so that I can figure it out for the next pro

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 995556: Please help with this question. I understand how to do polynomial long division but I am very confused with this one...Please show work so that I can figure it out for the next problems.
Use polynomial long division to perform the indicated division. Write the polynomial in the form
p(x) = d(x)q(x) + r(x).
(−x5 + 9x3 − x) � (x3 − x2 + 5)
Thank you!!!
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Use polynomial long division to perform the indicated division. Write the polynomial in the form
p(x) = d(x)q(x) + r(x).
(−x5 + 9x3 − x) � (x3 − x2 + 5)
---
Some comments::
1. Write the dividend (p(x)) as -x^5+0+9x^3+0-x+0
2. Divide by (d(x)) to get the 1st term of the quotient q(x)):: -x^2
3. Multiply -x^2(x^3-x^2+5) and subtract from p(x) to get
partial divident = -x^4+9x^3+5x^2-x+0
4. Divide that by the divisor (d(x)) to get the 2nd term of q(x) :: -x
etc.
----
Ans: p(x) = (x^3-x^2+5)(-x^2-x+8)+13x^2=4x-40
--------
Cheers,
Stan H.
----------------