how do i report only the roots in an interval in matlab

To report only the roots of a function within a given interval in MATLAB, you can use the roots function to find all roots of the polynomial, and then filter those roots based on whether they fall within your desired interval. Here's an example:

main.m
% Define your polynomial coefficients
P = [1, -3, -4, 8];

% Find all roots of the polynomial
all_roots = roots(P);

% Define the interval you are interested in
lower_bound = -10;
upper_bound = 10;

% Filter roots that lie within the desired interval
roots_in_interval = all_roots(all_roots >= lower_bound & all_roots <= upper_bound);

disp(roots_in_interval);
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In this code snippet:

• P represents the coefficients of your polynomial.
• roots function is used to find all roots of the polynomial equation.
• roots_in_interval will then store only those roots that lie within the defined interval [lower_bound, upper_bound].

You can adjust the P coefficients and interval values based on your requirement.