Question

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

3
6
9
12

Answer 1

9

Explanation:

Answer 2

9514 1404 393

Answer:

(c) 9

Explanation:

The square of a binomial has the form ...

(x +a)² = x² +(2a)x +a²

You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...

c = (6/2)² = 9