11
QuizMultiple Choice

Solving Quadratic Equations: Completing the Square

Question 11 • Algebra III A

What value of c makes x2 + 6x + c a perfect square trinomial?

Answer
A
3
B
6
C
9
D
12

Explanation

A perfect square trinomial has the form x² + 2ax + a². Since the coefficient of x is 6, 2a = 6, so a = 3 and c = a² = 9. Thus, x² + 6x + 9 = (x + 3)², so the correct choice is 9.

AI-written and checked against the verified answer.

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