Results 1 to 3 of 3

Math Help - Remaining Zeros of f

  1. #1
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    Remaining Zeros of f

    Information is given about a complex polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.

    Degree = 3; zeros = 3 + 4i, 5
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,696
    Thanks
    1467
    Quote Originally Posted by magentarita View Post
    Information is given about a complex polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.

    Degree = 3; zeros = 3 + 4i, 5
    Since the polynomial is of degree three, it has 3 roots- you are already given 3: 5 and 3+ 4i. In order to have only real coefficients, the third root must be the complex conjugate of 3- 4i.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    why....

    Quote Originally Posted by HallsofIvy View Post
    Since the polynomial is of degree three, it has 3 roots- you are already given 3: 5 and 3+ 4i. In order to have only real coefficients, the third root must be the complex conjugate of 3- 4i.
    Why is the third root the complex conjugate of 3- 4i?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: June 4th 2010, 10:34 AM
  2. Replies: 3
    Last Post: February 15th 2010, 05:40 PM
  3. Remaining zeros?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 9th 2008, 04:24 PM
  4. Find the weight of the remaining pie
    Posted in the Geometry Forum
    Replies: 2
    Last Post: March 13th 2007, 07:23 PM
  5. Puzzled volume remaining
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 9th 2007, 10:21 AM

Search Tags


/mathhelpforum @mathhelpforum