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May 20th, 2011, 07:19 AM  #1 
Newbie Joined: May 2011 Posts: 2 Thanks: 0  Could you help me understand one sentence about polynomial?s
The sentence in question is the attachment below in big letters. Please explain to me, what kind of polynomials are members of this set P? For example, are polynomials x^3 + x/2 and x^3 + x^2 members of the set P?

May 20th, 2011, 07:48 AM  #2 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: Could you help me understand one sentence about polynomi
If H is in P, then H(n) is a polynomial with rational coefficients, such that if n is a natural number, so is H(n). For example, H(n)=n³+n² qualifies, but H(n)=n³+½n does not (e.g. try n=1). 
May 20th, 2011, 11:21 AM  #3  
Newbie Joined: May 2011 Posts: 2 Thanks: 0  Re: Could you help me understand one sentence about polynomi Quote:
 

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