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Factoring Trinomials: a = 1

Question 5 • FL-1200700-Mathematics for College Algebra MIS

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
(x + 2)(x + 5)
B
(x + 2)(x + 8)
C
(x + 4)(x + 4)
D
(x + 4)(x + 6)

Explanation

For x² + 10x + 16, a = 1, b = 10, and c = 16, so ac = 16. The numbers 2 and 8 have a product of 16 and a sum of 10. Therefore, the trinomial factors as (x + 2)(x + 8), which is choice B.

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