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Factoring Polynomials: Double Grouping

Question 3 • Common Core Algebra I B-IC

Consider the trinomial x2 + 10x + 16. | Which pair of numbers has a product of ac and a sum of b? | What is the factored form of the trinomial?

Answer
A
2 and 5
B
2 and 8
C
4 and 4
D
4 and 6

Explanation

Here, a = 1, b = 10, and c = 16, so ac = 16. The numbers 2 and 8 multiply to 16 and add to 10, so the correct pair is 2 and 8. They give the factorization x² + 10x + 16 = (x + 2)(x + 8).

AI-written and checked against the verified answer.

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