How to Generate Symbolic Polynomial in MATLAB with Given Parameters?

[swartzism]

I am trying to get MATLAB to be able to produce a symbolic polynomial and am having some issues. The polynomial I would like it to produce is given a d and k,

X^(k+1)-X^(k-d)-X^(k-d-1)-...-1

What I have so far is

k = 5;
d = 3;
syms X;

i = 0;
while (k-(d+i) >= 0)
    terms(i+1) = k-(d+i);
    i = i+1;
end

for j=1:i
    poly = X^(k+1);
    poly = inline(poly - X^(terms(j)));
end

This code is the example where k = 5, d = 3. The first while loop generates the terms of the polynomial, the second is meant to generate the polynomial, but it is not working.

In this example, the desired polynomial is

X⁶-X²-X-1

What the code is producing is

X⁶-1

Any ideas on what I can do to produce the correct polynomial?

Thanks in advance.

 

[swartzism]

After some tinkering, I got it to work. If you would like to see the code, let me know.