Results 1 to 2 of 2

Math Help - Determining if subspace of P4

  1. #1
    Member
    Joined
    Jun 2006
    Posts
    93

    Determining if subspace of P4

    I have to prove that the set of all polynomials in P4 having at one real root is not a subspace of P4. However I don't know what they mean by having at least one real root. Any ideas?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    The terms "at least one real root" means among the zeros of a polynomial one of the zeros is a real number. For example, x^2+1 has two zeros i,-i both of them are not real. While x^3+x has at least one real root, i.e. 0.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Subspace spanned by subspace
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: February 9th 2010, 07:47 PM
  2. Determining a δ
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 4th 2009, 10:11 AM
  3. determining whether a subset is subspace
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: July 3rd 2008, 08:43 AM
  4. Determining Subspace
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 4th 2006, 11:43 AM
  5. nid Help on determining A, B, C, and D T_T
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 29th 2006, 07:22 AM

Search Tags


/mathhelpforum @mathhelpforum