The expression (x - 2)(x - 3) represents a polynomial in factored form. It consists of two binomials, (x - 2) and (x - 3), which can be expanded to find its standard form. This expression is useful in algebra for solving equations and understanding the behavior of quadratic functions. When expanded, (x - 2)(x - 3) becomes x^2 - 5x + 6. This quadratic polynomial can be analyzed for its roots, which are the values of x that make the expression equal to zero. The roots in this case are x = 2 and x = 3, indicating where the graph of the polynomial intersects the x-axis.