Final answer:
The quadratic equation with solutions of -2 and 3 is given by option (a), which when expanded from its factored form (x + 2)(x - 3) = 0, becomes x² - x - 6 = 0.
Step-by-step explanation:
The student is asking which quadratic equation has the solutions -2 and 3. To determine which equation has these solutions, we will use the fact that the solutions of a quadratic equation of the form ax² + bx + c = 0 are given by the quadratic formula. However, since we already have the solutions, we can work backwards and write the factored form of the equation as (x + 2)(x - 3) = 0. Expanding this we get x² - x - 6 = 0, which matches option (a).