write a user-defined function that adds or subtracts two polynomials of any order in matlab

Here's how you can write a user-defined function that adds or subtracts two polynomials of any order in Matlab:

main.m
function [result] = poly_add_sub(poly1, poly2, isAddition)
% poly_add_sub adds or subtracts two polynomials of any order
%
% Inputs:
%   poly1: 1D array representing the coefficients of the first polynomial
%   poly2: 1D array representing the coefficients of the second polynomial
%   isAddition: boolean indicating whether to add or subtract the polynomials
%              (true for addition, false for subtraction)
%
% Output:
%   result: 1D array representing the coefficients of the resulting polynomial
%
% Example usage:
%   poly_add_sub([1 2 3], [4 5 6], true)  % add (1 + 2x + 3x^2) + (4 + 5x + 6x^2) = 5 + 7x + 9x^2
%
%   poly_add_sub([1 2 3], [4 5 6], false)  % subtract (1 + 2x + 3x^2) - (4 + 5x + 6x^2) = -3 - 3x - 3x^2

if length(poly1) < length(poly2)
    poly1(end+1:length(poly2)) = 0;
elseif length(poly1) > length(poly2)
    poly2(end+1:length(poly1)) = 0;
end

if isAddition
    result = poly1 + poly2;
else
    result = poly1 - poly2;
end

while length(result) > 1 && result(end) == 0
    result = result(1:end-1);
end
end
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The function takes in two arrays poly1 and poly2, which represent the coefficients of the two polynomials, and a boolean isAddition, which indicates whether to add or subtract the polynomials. The function first pads the shorter polynomial with zeros to ensure that both input arrays are the same length. It then performs the addition or subtraction depending on the value of isAddition. The resulting polynomial may have trailing zeros that can be removed with a simple while loop. Following the example usage, you can call poly_add_sub with the two polynomials you want to add or subtract and set the isAddition parameter to true if you want to add the polynomials, or false if you want to subtract.

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