Deflation of a polynomial gcd(dP/dx,P)

bobo

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Jul 27, 2007
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What category of math or what type of books cover the deflation of a polynoial P' = gcd(P,dP/dx) and squarefree polynomials for someone who wants to be introduced to these things for the first time? Also for fractions of the form Q/V^m(where V is squarefree), why is there an equation Q/(1-m)=BV' + CV for some B and C? I have no idea. What type of books would help me?
 
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