Final answer:
The query is related to polynomial functions; specifically, those that are not quadratic but of higher degrees with more than two solutions. Option A provides a fourth-degree polynomial with four distinct roots.
Step-by-step explanation:
The student is asking about the solution of quadratic equations and how to define the polynomial functions given. Quadratic equations are mathematical functions of the form ax²+bx+c = 0, known as second-order polynomials. These types of equations typically have two solutions or roots, which can be found using the quadratic formula −b ± √(b² - 4ac) / (2a). However, the given functions are not quadratic as they involve higher orders, which suggests that this is actually about polynomial functions of higher degrees.
Option A consists of a polynomial of the fourth degree, not a quadratic function, because it has four linear factors. The roots or solutions of this polynomial are x=2, x=5, x=√3, and x=-√3. Similarly, the other options also represent polynomials of higher degrees due to the number of factors they have.