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Factoring Polynomials: GCF

Question 1 • Common Core Algebra I B-IC

Consider the trinomial x2 – 9x + 18. | Which pair of numbers has a product of ac and a sum of b? | What is the factored form of the trinomial?

Answer
A
–3 and –6
B
–3 and 6
C
3 and –6
D
3 and 6

Explanation

For x² − 9x + 18, a = 1, b = −9, and c = 18, so ac = 18. The numbers −3 and −6 multiply to 18 and add to −9, so choice A is the correct pair. They give the factorization (x − 3)(x − 6).

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