Question

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___?

1
3
6
9

Answer 1

Answer: D

Step-by-step explanation: 9

Answer 2

+ 9

Explanation:

x² + 6x

to complete the square

add ( half the coefficient of the x- term )² to x² + 6x

x² + 2(3)x + 3²

= x² + 2(3)x + 9

= (x + 3)² ← a perfect square