Final answer:
The expression 12(x−2)(x+4) represents a quadratic equation related to the area of a kite. It shows how the area changes as the variable x changes and fits the general form of a quadratic equation, ax² + bx + c.
Step-by-step explanation:
The area of a kite is represented by the expression 12(x−2)(x+4). This expression could represent a quadratic equation relevant to the calculation of the kite's area. When simplified, it would give the area as a function of x, revealing how the kite's area changes as x varies. The given expression is in the form of ax² + bx + c, which is a typical representation of a quadratic equation in mathematics. In the context of solving quadratic equations such as x² + bx + c = 0, the discriminant and therefore the nature of the roots, depend on the values of a, b, and c. For this quadratic expression, these represent the coefficients that can be found by expanding and simplifying the area expression.