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Re: Generate polynomial of specified degree


f[n_Integer?NonNegative,x_Symbol:x]:=
  ToExpression[CharacterRange["a", FromCharacterCode[97+n]]].
    x^Range[n,0,-1]

Table[f[n],{n,0,3}]

{a, b + a*x, a*x^2 + b*x + c, a*x^3 + b*x^2 + c*x + d}


Bob Hanlon

> 
> From: Renan <renan.birck at gmail.com>
To: mathgroup at smc.vnet.net
> Date: 2005/09/22 Thu AM 02:08:12 EDT
> Subject: [mg60643] [mg60618] Generate polynomial of specified degree
> 
> Hello,
> 
> Sorry if this may seem a silly question, but I readed the Mathematica
> help and found no references.
> 
> Is there any function that can generate a polynomial of a given degree?
> 
> e.g.
> 
> For degree 1, f[x] would return a x + b
> For degree 2, f[x] would return a x^2 + b x + c (quadratic equation)
> For degree 3, f[x] would return a x^3 + b x^2 + c x + d (quadratic 
equation)
> 
> Thanks,
> Renan - Canoas, RS, Brazil
> 
> 


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