Question

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 1

(x + 2)(x + 8)

Explanation:

x² + 10x + 16

consider the factors of the constant term (16) which sum to give the coefficient of the x- term.

the factors are + 2 and + 8 , since

+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then

x² + 10x + 16 = (x + 2)(x + 8) ← in factored form

Answer 2

answer in picture

Explanation: