The expression (15n^2 - n - 28) is a quadratic polynomial in terms of the variable (n). It can be analyzed for its roots using the quadratic formula, factored, or graphed to understand its behavior. To factor it, you would look for two numbers that multiply to (15 \times -28 = -420) and add to (-1) (the coefficient of (n)). The roots of this equation can provide insights into its zeros and the parabola's direction.