Simplifying Polynomial From Divided Difference Table

Nov 25, 2014

I am writing a method that simplify polynomial from something like this:

3 + 1/2(x-1) +1/3(x-1)(x-3/2) - 2(x-1)(x-3/2)x
to:
-2x^3 + 5.334x^2 - 3.334x + 3

I have successfully constructed the divided difference table and got the polynomial in this form:
3 + 1/2(x-1) +1/3(x-1)(x-3/2) - 2(x-1)(x-3/2)x

the values of x's and y's are from an input file
1 1.5 0 2
3 3.25 3 1.67

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