Results 1 to 3 of 3

Math Help - polynomial division

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    6

    polynomial division

    please help to solve following problem-

    If a polynomial p(x) of degree more then 2 is divided by (x-2), the remainder is one(1) & if divided by (x-3), remainder is three(3), what will be the remainder if it is divided by (x-2) (x-3).

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2008
    From
    West Malaysia
    Posts
    1,261
    Quote Originally Posted by raj01b View Post
    please help to solve following problem-

    If a polynomial p(x) of degree more then 2 is divided by (x-2), the remainder is one(1) & if divided by (x-3), remainder is three(3), what will be the remainder if it is divided by (x-2) (x-3).

    Thanks
    HI

    p(x)=q(x)(x-2)(x-3)+Ax+B

    where q(x) here is the quotient and Ax+B , the remainder .

    p(2)=1 , p(3)=3

    p(2)=2A+B=1 --- 1

    p(3)=3A+B=3 ----2

    Solve the simultaneous equations .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2009
    Posts
    6

    polynomial division

    Hi Mr Mathaddict,
    Thank you very much for your help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. polynomial division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 10th 2010, 02:37 AM
  2. Polynomial division vs synthetic division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 9th 2009, 06:49 AM
  3. polynomial division
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 11th 2008, 11:56 AM
  4. polynomial division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 10th 2008, 03:16 PM
  5. Polynomial Division
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 27th 2008, 09:20 AM

Search Tags


/mathhelpforum @mathhelpforum