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Math Help - Supposedly simple algebra...

  1. #1
    ebb
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    Supposedly simple algebra...

    I am struggling to see how Pk(x)= [1/(2k(k!))][(dk((x2-1)k)/dxk] = [1/(2k)][2k choose k][xk] + (terms of lower order)
    Help please?
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  2. #2
    Super Member girdav's Avatar
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    Re: Supposedly simple algebra...

    (x^2-1)^k is a polynomial of degree 2k; when you take the k-th derivative it's a polynomial of degree k. Now, look at the leading term.
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  3. #3
    ebb
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    Re: Supposedly simple algebra...

    Thank you - a great help!
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