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Rewrite in terms of the powers of (x-a) : ptayl

ptayl is used to rewrite a polynomial P depending of x in terms of the powers of (x-a) (ptayl means polynomial Taylor)
ptayl takes two arguments: a polynomial P given by a symbolic expression or by the list of it's coefficients and a number a.
ptayl returns the polynomial Q such that Q(x-a)=P(x)
Input :
ptayl(x^2+2*x+1,2)
Output, the polynomial Q:
x^2+6*x+9
Input :
ptayl([1,2,1],2)
Output :
[1,6,9]
Remark
P(x)=Q(x-a)
i.e. for the example :
x2 + 2x + 1 = (x - 2)2 + 6(x - 2) + 9



giac documentation written by Renée De Graeve and Bernard Parisse