Polynomial roots are the values of the variable that make a polynomial equation equal to zero. For example, in the polynomial equation P(x) = x^2 - 5x + 6 , the roots are the values of x that satisfy P(x) = 0 . These roots can be real or complex numbers and are often found using methods like factoring, the quadratic formula, or numerical approximations. Finding the roots of a polynomial is important in various fields, including mathematics, engineering, and physics. The roots can provide insights into the behavior of functions, such as their intercepts and turning points. Understanding polynomial roots is essential for solving equations and analyzing graphs.