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Analyzing Functional Relationships

Question 2 • GA-GSE Pre-Calculus

Factor x2 – 8x + 15. | Which pair of numbers has a product of ac and a sum of b? | What is the factored form of the trinomial?

Answer
A
(x – 3)(x – 5)
B
(x – 3)(x + 5)
C
(x + 3)(x – 5)
D
(x + 3)(x + 5)

Explanation

For x² − 8x + 15, a = 1, b = −8, and c = 15, so ac = 15. The numbers −3 and −5 have a product of 15 and a sum of −8. Therefore, the trinomial factors as (x − 3)(x − 5), choice A.

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