The roots of polynomials are the values of the variable that make the polynomial equal to zero. For example, in the polynomial f(x) = x² - 4, the roots are the values of x that satisfy the equation x² - 4 = 0. In this case, the roots are x = 2 and x = -2, since both values make the equation true. Finding the roots of a polynomial is essential in various fields, including mathematics, engineering, and physics. Techniques like factoring, using the quadratic formula, or graphing can help identify these roots. Understanding roots allows us to analyze the behavior of polynomial functions and solve real-world problems.