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)?

Question

asked Mar 17, 2020 50.1k views

1 Answer

Tashakori · Answer 1 · 2020-03-22T10:48:29+0000

Answer:

(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