Results 1 to 4 of 4

Math Help - Canonical Decomp 2

  1. #1
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5

    Canonical Decomp 2

    Is there an easy way to approach this number or just start dividing away?

    10,510,100,501
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    Quote Originally Posted by dwsmith View Post
    Is there an easy way to approach this number or just start dividing away?

    10,510,100,501
    Hint: (x^2+1)^5 = x^{10} + 5x^8 + 10x^6 + 10x^4 + 5x^2 + 1.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    I am not sure how that is supposed to help, but if I could see the connection, how would I know to come up with (x^2+1)^5?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    Quote Originally Posted by dwsmith View Post
    I am not sure how that is supposed to help, but if I could see the connection, how would I know to come up with (x^2+1)^5?
    Second (blatant) hint: Try putting x = 10 in that binomial expansion.

    I have to admit that I cheated in order to find that method. I plugged the number 10510100501 in here in order to find the factors. When I saw the answer I could see why it came out that way.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. canonical parameter and canonical link function
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: April 6th 2011, 08:41 AM
  2. [SOLVED] Canonical Decomp
    Posted in the Number Theory Forum
    Replies: 5
    Last Post: June 19th 2010, 12:01 AM
  3. LU Decomp Question
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: January 27th 2010, 01:31 PM
  4. prime power decomp
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: March 5th 2008, 08:05 PM
  5. Help with Partial Fraction Decomp
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 9th 2007, 07:05 AM

Search Tags


/mathhelpforum @mathhelpforum