Results 1 to 3 of 3

Thread: The bionomial theorem

  1. #1
    Newbie
    Joined
    Jun 2007
    Posts
    22

    Exclamation The bionomial theorem

    Heres a problem for ya. I can manage when the (ax) does not have a power, but not sure in this case.


    Find the coefficient of $\displaystyle x^3$ in $\displaystyle ( 3x^2 - 5/x ) ^3$
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member ecMathGeek's Avatar
    Joined
    Mar 2007
    Posts
    436
    Quote Originally Posted by mibamars View Post
    Heres a problem for ya. I can manage when the (ax) does not have a power, but not sure in this case.


    Find the coefficient of $\displaystyle x^3$ in $\displaystyle ( 3x^2 - 5/x ) ^3$
    Interesting problem.

    As a binomial expansion with a power of three, the coefficients of the terms will be 1, 3, 3, 1, and in this case, the second term is the one of interest:

    $\displaystyle 3(3x^2)^2\frac{5}{x}$

    $\displaystyle 135x^3$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,776
    Thanks
    2823
    Awards
    1
    Quote Originally Posted by ecMathGeek View Post
    $\displaystyle 135x^3$
    The answer should be negative.
    -$\displaystyle 135x^3$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Using bionomial distribution tables
    Posted in the Statistics Forum
    Replies: 0
    Last Post: Oct 3rd 2010, 10:27 AM
  2. Bionomial thoerem
    Posted in the Math Topics Forum
    Replies: 4
    Last Post: Feb 5th 2010, 10:39 AM
  3. Bionomial Distribution
    Posted in the Statistics Forum
    Replies: 3
    Last Post: Dec 17th 2009, 12:06 PM
  4. Question on the Bionomial Theorem?
    Posted in the Statistics Forum
    Replies: 1
    Last Post: May 13th 2009, 05:09 PM
  5. [SOLVED] Expanding Bionomial
    Posted in the Algebra Forum
    Replies: 2
    Last Post: Feb 13th 2009, 09:28 AM

Search tags for this page

Click on a term to search for related topics.

Search Tags


/mathhelpforum @mathhelpforum