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Quick little number puzzle

  1. Jun 27, 2011 #1

    Char. Limit

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    Gold Member

    Quick! Without factoring or using any multinomial theorems, give me the coefficient of x17 in the polynomial product:

    (x3+23x)(x6+35x4+1685)(x19+1246x9)

    Can you do it?
     
  2. jcsd
  3. Jun 27, 2011 #2
    Is it 0?
     
  4. Jun 27, 2011 #3
    it is 0.
     
  5. Jun 27, 2011 #4

    Char. Limit

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    Gold Member

    Yes, it is 0, as can be proven using just the properties of even and odd functions.
     
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