My Math Forum  

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

Algebra Pre-Algebra and Basic Algebra Math Forum

LinkBack Thread Tools Display Modes
September 11th, 2012, 05:56 PM   #1
Joined: Mar 2012

Posts: 60
Thanks: 0

Is this dividing by zero?

If you want to find the factors f(x) You dive by (x-a). You get some new function q(x) +remainder/(x-a). If (x-a) is a factor of f(x), then the remainder is zero.
Also, f(x)=(x-a)q(x)+remainder, and f(a)=(0)q(x) + remainder or just f(a)= remainder.

But Isn't it quasi dividing by zero If you divide f(x) by (x-a), while x=a? I'm thinking f/a=q+r/a, then f=a(q)+r, except when a = zero.
maxgeo is offline  
September 12th, 2012, 07:18 AM   #2
Math Team
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re: Is this dividing by zero?

What you are saying is that as long as , . And, as long as , . You say "functions", but all of this only makes sense for polynomials (as you imply when you say "find the factors"). All polynomials are continuous for all x so taking the limit as x goes to a of that formula gives f(a)= q(a)(0)+ remainder= remainder.
HallsofIvy is offline  

  My Math Forum > High School Math Forum > Algebra


Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Dividing by zero Chikis Elementary Math 4 March 12th, 2013 09:03 AM
Help dividing polynomials Kimmysmiles0 Algebra 1 April 29th, 2012 07:04 PM
Dividing Monomials Ipoulter Algebra 9 January 29th, 2012 07:17 PM
Dividing by zero? Jo15 Calculus 7 January 1st, 2012 07:51 PM
Dividing by zero :) Sidways8 :) Number Theory 14 February 16th, 2011 04:44 PM

Copyright © 2019 My Math Forum. All rights reserved.