Can any expert help with this Matlab program please?
Consider the quartic equation
x4 +ax3 +bx2 +cx-1=0, (1)
where a, b, and c are real input coefficients. Develop a matlab program to find all roots of equation (1) using the methods discussed in class. Your program can not use the matlab built-in functions fzero, roots, eig, and eigs.
You should turn in a .m file quarticxxx.m which contains a matlab function of the form
function [rts] = quarticxxx(C)
where xxx is your student id, C = (a, b, c) is the input vector of coefficients, and rts is the vector of roots;
Your program will be stress-tested against typical and pathological quartic equations:
1. equations with random C;
2. equations with very large C; or
3. equations with double roots or nearly double roots; or
You will receive partial credit for each correct root (accurate to within a relative error of at most 10-5, as compared to the roots function in matlab) receive additional credit.
Your program will receive 0 points if the strings fzero, roots or eig (all lower case) show up anywhere in your .m file.