%Program 0.1 Nested multiplication
%Evaluates polynomial from nested form using Horner's method
%Input: 
%       array of d+1 coefficients (constant term first),
%       x-coordinate x at which to evaluate, and
%       array of d base points b
%Output: value y of polynomial at x
function y=nest(c,x,b)

d=length(c)-1;
y=c(d+1);
for i=d:-1:1
  y = y.*(x-b(i))+c(i);
end