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 Algebra Pre-Algebra and Basic Algebra Math Forum

 September 11th, 2012, 05:56 PM #1 Member   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. 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. Tags dividing Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Chikis Elementary Math 4 March 12th, 2013 09:03 AM Kimmysmiles0 Algebra 1 April 29th, 2012 07:04 PM Ipoulter Algebra 9 January 29th, 2012 07:17 PM Jo15 Calculus 7 January 1st, 2012 07:51 PM :) Sidways8 :) Number Theory 14 February 16th, 2011 04:44 PM

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