Results 1 to 5 of 5

Math Help - List Possible Rational Zeros

  1. #1
    Banned
    Joined
    Aug 2009
    From
    USA
    Posts
    126

    List Possible Rational Zeros

    List all the possible rational zeros of the following polynomial.

    x^2 + sqrt{5}(x) - 2/3
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,688
    Thanks
    447
    Quote Originally Posted by sharkman View Post
    List all the possible rational zeros of the following polynomial.

    x^2 + sqrt{5}(x) - 2/3
    the rational root theorem works for polynomials with integer coefficients.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Aug 2009
    From
    USA
    Posts
    126

    but...

    Quote Originally Posted by skeeter View Post
    the rational root theorem works for polynomials with integer coefficients.
    To find the possible rational zeros, don't we divide the factors of the constant by the factors of the leading coefficient?

    In other words, factors of 2/3 divided by factors of 1, in this case.

    If so, how do I proceed?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,688
    Thanks
    447
    Quote Originally Posted by sharkman View Post
    To find the possible rational zeros, don't we divide the factors of the constant by the factors of the leading coefficient?

    In other words, factors of 2/3 divided by factors of 1, in this case.

    If so, how do I proceed?
    read the first two sentences in the link ...

    Rational Zeros of Polynomials
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,547
    Thanks
    1418
    Quote Originally Posted by sharkman View Post
    List all the possible rational zeros of the following polynomial.

    x^2 + sqrt{5}(x) - 2/3
    I assume this quadratic is equal to zero.


    For any quadratic of the form ax^2 + bx +c = 0, the solutions are

    x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.


    Since your b value is irrational, I doubt you'll find rational zeroes...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rational Zeros Theorem
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 6th 2009, 03:53 PM
  2. polynomial and rational zeros
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 2nd 2009, 04:43 PM
  3. TI89Ti: List all zeros
    Posted in the Calculators Forum
    Replies: 2
    Last Post: November 7th 2008, 09:14 PM
  4. rational zeros
    Posted in the Algebra Forum
    Replies: 9
    Last Post: March 23rd 2008, 12:16 PM
  5. rational zeros
    Posted in the Algebra Forum
    Replies: 1
    Last Post: March 19th 2006, 01:37 PM

Search Tags


/mathhelpforum @mathhelpforum