Question

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

Answer 1

c = +9.

Explanation:

x^2 + 6x + c.

Divide 6 by 3 then square it

- so c = 3^2 = 9.

x^2 + 6x + 9 = (x + 3)^2.

Answer 2

If x2 + 6x + c = (x + d)2, then d =What value of c makes x2 + 6x + c a perfect square trinomial? c =

Divide the x-term coefficient by 2: 6/2 = 3

Now square 3: 3^2 = 9

c = 9

If x^2 + 6x + c = (x + d)^2, then d =

x^2 + 6x + 9 = (x + 3)^2 = (x + d)^2, so d = 3

Explanation: