My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
September 13th, 2012, 02:15 PM   #1
Newbie
 
Joined: Aug 2012

Posts: 16
Thanks: 0

rational expression

Consider the rational expression
a) Identify, if possible, a rational expression with integer coefficients that simplify to 2x+1/x-4, for each set of restrictions.

i) x =/= -1,4 ii) x =/= 0,4 iii) x =/= 2/3, 4 iv) x=/= -1/2, 4

b) is there a rational expression with denominator of the form ax^2 +bx+c, a=/= 0, that simplifies to 2x+1/x-4, and has only the restriction x=/= 4? Explain
lalex0710 is offline  
 
September 13th, 2012, 09:07 PM   #2
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: rational expression

a.) We are asked to consider:



We see that we must have

Now, to add the restriction where , yet have the expression simplify to the original, we must then multiply the original by 1 in the form of:



Now, if k is a rational number, i.e., then we may write:



Can you proceed to answer the four parts of the first problem now? Don't hesitate to ask for further assistance if you are still stuck!

b.) Hint: Consider the denominator having the repeated root ...what does such a quadratic look like? What do you have to multiply the original denominator with to get this quadratic...and remember you must also multiply the original numerator by this factor.

Let us know what you think.
MarkFL is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
expression, rational



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
A rational expression guru123 Algebra 2 September 5th, 2013 07:02 PM
Rational Expression word problem. Please Help AKofTroy Algebra 6 July 13th, 2013 04:19 PM
Integrate rational fraction expression Stud1 Calculus 2 January 28th, 2013 09:57 PM
Rational expression constants lalex0710 Algebra 6 September 24th, 2012 02:18 PM
rational expression lalex0710 Algebra 5 September 23rd, 2012 03:17 PM





Copyright © 2019 My Math Forum. All rights reserved.