Question

Which of the following represents the factorization of the trinomial below?x²+6x+9With these four of possible awnsers A. (x-2)(x-3)B. (x-3)²C. (x+3)²D. (x+2)(x-3)

Answer 1

C. (x+3)^2

Explanation:

x²+6x+9 = 0

a = 1

b= 6

c = 9

Rewrite 6x as 3x + 3x

x^2 + 3x + 3x + 9

Factor out

x (x+3) + 3 (x+3)

Rewrite

(x+3) (x+3)

Combine

(x+3)^2