Final answer:
The pair of numbers that satisfies the condition of having a product of ac and a sum of b for the trinomial x^2 – 9x + 18 is -3 and -6.
Step-by-step explanation:
The trinomial x2 – 9x + 18 can be factored using the AC method.
Product of ac: a * c = 1 * 18 = 18.
Sum of b: -9 (from the x term).
We need to find two numbers with a product of 18 and a sum of -9.
The pair of numbers that satisfies this condition is -3 and -6.
Thus, the correct answer is option a. -3 and -6 for number 1 and option a. (x+3)(x+6) for number 2.
Learn more about Factoring trinomials