### 5.27.17 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 its 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 :

x^{2}+2x+1=(x−2)^{2}+6(x−2)+9