Viète Relations: Polynomial Roots and Coefficients

This lecture explores Viète's identities, which relate the roots and coefficients of a polynomial. By expressing a polynomial in terms of its roots, one can determine its coefficients and vice versa. Viète's formulas are used to find relationships between the roots and coefficients of polynomials, leading to factorization and solution of equations. The lecture also covers examples demonstrating how to apply Viète's identities to find solutions to polynomial equations.