Question

Write code to evaluate the polynomial at the point indicated by using Horner’s algorithm.

p(x)=x^5−x^4−3x^3−5x^2+10 at x=2

(use MATLAB to code and show the results.)

Answer 1

Required Matlab code with explanatory comments is given below:

function x = Q_horner(a,z)
n = length(a); %length of polynomial vector coefficients
result = a(1); %initialize result
for j = 2:n
    result = result*z + a(j); %horner's substitution
end
x = result; %output result

Result:

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