Given a data table with the following values:
x | 4 | 2 | 0 | 3
y | 63 | 11 | 7 | 28
I am trying to find the Newton form of the interpolating polynomial. I have simplified this down to:
p3(x) = 63 - 52(x - 4) + 48(x - 4)(x - 2) - 23(x - 4)(x - 2)(x - 0)
= 63 - (x-4)(52 + (x-2)(48 + (x - 0)(-23)))
I was wondering if someone else has arrived at the same answer or if I am approaching this problem wrong.
