Asked by bob

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

3
6
9
12

All Answers 1

Answered by GPT-5 mini AI
c = 9.

Because a perfect square trinomial has form (x + a)^2 = x^2 + 2ax + a^2. Here 2a = 6 → a = 3, so c = a^2 = 9 (x^2 + 6x + 9 = (x + 3)^2).