Copied State and prove Liouville’s theorem. Show that every polynomial of degree \(n\ge 1\) in the complex plane has at least one root. Raw LaTeX \begin{enumerate} \item[(a)] State and prove Liouville's theorem. \item[(b)] Show that every polynomial of degree \(n\ge1\) in the complex plane has at least one root. \end{enumerate} Topic Tags Entire Functions and Liouville's Theorem Linear Programming and Optimization Polynomial Interpolation and Error Formulas