Final answer:
To make the expression x² + 24x a perfect-square trinomial, we need to add 144.
Step-by-step explanation:
To make the expression x² + 24x a perfect-square trinomial, we need to find the value that, when added to it, results in a perfect-square trinomial. We can do this by completing the square. Half of the coefficient of x, which is 12, is squared, resulting in 144. Therefore, the value that must be added is 144.
Learn more about perfect-square trinomials