Question

Horner: Given the coefficients of a polynomial a0, a1, . . . , an, and a real number x0, find P(x0), P′ (x0), P′′(x0), P(3)(x0), . . . , P(n) (x0) Sample input representing P(x) = 2 + 3x−x 2 + 2x 3 , x0 = 3.5:

3

2

3

-1

2

3.5

the first number is the degree of the polynomial (n), the coefficients are in order a0, a1, . . . , an, the last number is x0.

Note: dont use polyder and input read from txt file.

Answer 1

ANSWER :

clc%clears screen
clear all%clears history
close all%closes all files
format long
func(3,[2,3,-1,2],3.5)

function func(n,C,x0)
C=C(end:-1:1);
for i=0:n
s=0;
for j=1:length(C)
s=s*x0+C(j);
end
fprintf('P%d(x0)=%f\n',i,s);
C=polyder(C);
end
end