Question

Which of the following represents the factorization of the trinomial below?

x^2+ 6x + 9


A. (x+2)(x-3

B. (x-3)?

C. (x-2)(x-3)

D. (x+3)?

Answer 1

(x + 3)²

Explanation:

Given

x² + 6x + 9

This is a perfect square of the form

(x + a)² = x² + 2ax + a²

Compare like terms

a² = 9 ⇒ a = 3 and 2a = 2 × 3 = 6, thus

x² + 6x + 9 = (x + 3)² → D