SOLUTION: I keep looking at this problem, and I know it's basic, but I cannot remember how to solve it.I have a similar problem on an exam, so I'm hoping to remember the process before attem

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I keep looking at this problem, and I know it's basic, but I cannot remember how to solve it.I have a similar problem on an exam, so I'm hoping to remember the process before attem      Log On


   



Question 596771: I keep looking at this problem, and I know it's basic, but I cannot remember how to solve it.I have a similar problem on an exam, so I'm hoping to remember the process before attempting the exam. Thanks!
Simplify by removing factors of 1.
X^2-9x+20/X^2+x-20

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
By the way, if you are getting ready for a TEST, I have a TON of practice tests with DETAILED SOLUTIONS for ALL LEVELS OF ALGEBRA from FIRST LEVEL ALGEBRA through Trigonometry and Calculus!!! Just look for the "Practice Test" link on my Homepage, which I described below!

%28x%5E2-9x%2B20%29%2F%28x%5E2%2Bx-20%29

The first step is to FACTOR numerator and denominator!

%28%28x-4%29%28x-5%29%29%2F%28%28x%2B5%29%28x-4%29%29

You can divide out the factors of (x-4), since (x-4)/(x-4) is "1".

Final answer is %28x-5%29%2F%28x%2B5%29.

For additional explanation on REDUCING FRACTIONS, please see my own website. The easiest way to find it is to use the easy to spell and easy to remember link www.mathinlivingcolor.com. On this single page website, there is a link at the bottom of the page that takes you to my Homepage.

Near the top of my homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", and choose either Basic Algebra (Chapter 3), or Intermediate Algebra (Chapter 2). There you will find explanations that may be easier to understand than your traditional textbooks, and many of the exercises from these sections are solved in color on the "MATH IN LIVING COLOR" pages that go with these sections.

There is also a VIDEO of me teaching this topic in Intermediate Algebra a few years before I retired. These videos are FREE, and you can see them by looking on my Homepage for the link "Rapalje Videos in Living Color."

If you like my website, please tell your friends and family. It's all FREE. You can contact me by Email at rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Professor of Mathematics
Seminole State College of Florida