1. Problem A: Complete the perfect square trinomial $x^2 - 30x + \_\_\_$. 2. The formula for a perfect square trinomial is $$a^2 - 2ab + b^2 = (a - b)^2$$. 3. Here, $a = x$ and $-2ab = -30x$, so $-2b = -30$ which gives $b = 15$. 4. The missing term is $$b^2 = 15^2 = 225$$, not 15. 5. So the correct trinomial is $$x^2 - 30x + 225$$. 6. The factors are $$(x - 15)(x - 15) = (x - 15)^2$$, not both factors $(x - 15)$ alone. 7. Therefore, statement A is incorrect (missing term is 15), correct is 225. 8. Statement B is correct in factor form but incomplete; it should say both factors are $(x - 15)$, making the trinomial a perfect square. 9. Final answer for problem A: The missing term is 225.