Question

Consider the trinomial x2 â€" 9x + 18.

Which pair of numbers has a product of ac and a sum of b?
Possible answers for number 1 are: a. -3 and -6 b. -3 and 6
c. 3 and -6
d. 3 and 6 Possible answers for number 2 are:
a. (x+3)(x+6)
b. (x+3)(x-6)
c.(x-3)(x+6)
d. (3-x)(x-6)

Answer 1

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