Solving polynomials of any degree

Ezouidi’s Theorem applies to all polynomials, regardless of degree or root structure. By constructing a new polynomial associated with the original, the theorem uses recursive invariants to provide: Exact root reconstruction Automatic detection of multiplicities Structural preservation of the polynomial Universality, applicable to any degree or coefficient configuration Robustness in fully degenerate cases, including polynomials with a single root of maximal multiplicity Independence from radicals, bypassing Abel–Ruffini constraints Conceptual simplicity, reducing complex root structures into clear, canonical forms This method transforms polynomial solving into a systematic, degree-independent, and mathematically rigorous process.