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!

Finding Polynomial Equation

  1. Oct 5, 2003 #1
    Sorry to keep asking questions...my teacher is horrible...

    Anyway, I need to find a polynomial equation with degree 8 and contains the roots (3 - 2i), (-5 + 7i), 0 (with multiplicity 3), -3, and 4 (with multiplicity 2).

    This is what I came up with:

    p(x) = (x - (3 - 2i))(x - (-5 + 7i))(x)^3(x + 3)(x - 4)^2

    Two things I'm wondering about (besides whether I got it right of course):

    1. Don't I need to add in the conjugates for 3 - 2i and -5 + 7i in the equation? In that case, the degree would have to be 10, no?

    2. Can I simplify this any further?

    Thanks again.
     
  2. jcsd
  3. Oct 5, 2003 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    You only need to include the complex conjugates if you are looking for a real polynomial; they're not necessary for complex polynomials.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Finding Polynomial Equation
  1. Polynomial Equation (Replies: 2)

Loading...