Results 1 to 2 of 2

Math Help - Remainder, equation of a polynomial

  1. #1
    Junior Member
    Joined
    Dec 2008
    Posts
    31

    Remainder, equation of a polynomial

    What is the remainder when x^29 - 7x^14 + 8 is divided by x-1
    you divide this with long division correct? is there a shorter way to do it??



    Write the equation of a polynomial with real coefficients that has 2 and 2-i as zeros. not sure what to do on this..
    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Murphie View Post
    What is the remainder when x^29 - 7x^14 + 8 is divided by x-1
    you divide this with long division correct? is there a shorter way to do it??

    Mr F says: Yes. Read this: The Remainder Theorem


    Write the equation of a polynomial with real coefficients that has 2 and 2-i as zeros. not sure what to do on this..
    thanks
    The factors are (x - 2), (x - [2-i]) and .... (x - [2+i])

    (this last factor follows from the conjugate root theorem).

    Now multiply these factors together to get a polynomial that satisfies the given requirements.

    Note that (x - [2-i]) (x - [2+i]) = ([x - 2] + i) ([x - 2] - i) = [x - 2]^2 + 1^2 = \, ....
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Taylor Polynomial and Remainder
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 10th 2010, 03:05 AM
  2. Remainder of a polynomial
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 20th 2010, 12:04 AM
  3. polynomial division, remainder
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 20th 2009, 01:53 AM
  4. Remainder of Taylor Polynomial?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 16th 2008, 07:47 AM
  5. Taylor Polynomial & Remainder
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 7th 2008, 12:43 PM

Search Tags


/mathhelpforum @mathhelpforum