1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The Remainder Theorem and The Factor Theorem

  1. Jun 11, 2009 #1
    1. The problem statement, all variables and given/known data
    I understand How to do The remainder Theorem and The factor Theorem but I don't understand what they mean or what they are doing. I don't think I will be able to apply them without knowing what they mean. Can someone explain them to me?


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 11, 2009 #2

    rock.freak667

    User Avatar
    Homework Helper

    The theorem is basically this, if f(x) is any polynomial and f(x) is divided by x-a, then the remainder is f(a) [remainder theorem]. If f(a)=0 then x-a is factor of f(x) [factor theorem]

    so basically when you divide f(x) by x-a, you will get a polynomial p(x) and a remainder R. So you can rewrite f(x) as such

    f(x)=p(x)*(x-a)+R

    clearly you can see why, the remainder is f(a).
    You can also see that when f(a)=0, the remainder R=0 as well. This can only happen when you divide by a factor.

    I hope this explained it better for you.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: The Remainder Theorem and The Factor Theorem
Loading...