Change Origin for a Polynomial

Usage

change.origin(p, o)

Arguments

p An object of class polynomial
o A numeric scalar representing the new origin on the original scale

Description

Calculate the coefficients of a polynomial relative to a new origin on the x-axis.

Let P(x) = sum_i p_i x^i be a given polynomial and consider writing P(x) = sum_j q_j (x - o)^j. This function calculates the coefficients q_j and returns the result as a polynomial.

Value

A polynomial relative to the re-located x-axis

Examples

pr <- poly.from.zeros(1:5)
pr
## -120 + 274*x - 225*x^2 + 85*x^3 - 15*x^4 + x^5 
change.origin(pr, 3)
## 4*x - 5*x^3 - 10*x^4 + x^5 


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