Finding polynomial roots involves identifying the values of the independent variable that make the polynomial equation equal to zero. Root-finding theorems, such as the Rational Roots Theorem and Descartes’ Rule of Signs, provide insights into potential rational roots. Numerical methods, like the Bisection, Newton’s, and Secant methods, approximate roots numerically. Analytical methods, including Sturm’s Theorem and the Fundamental Theorem of Algebra, provide exact solutions. Special topics like Roots of Unity explore unique polynomial properties.
