Respuesta :
The answer would be 36. Why?
Because in the equation we would need to do (x + 6)(x + 6) to get a perfect square trinomial.
And 6 * 6 is 36.
So the whole equation would be: x^2 + 12 + 36.
Hope this helped! c:
The quadratic expression uses the following formula:
[tex] ax^2 + bx + c [/tex]
The expression is missing the variable of c, and it is a perfect square trinomial.
To find c in a perfect square trinomial, we will use the following formula:
[tex] c = (\frac{b}{2}})^2 [/tex]
The value of b in this expression is 12. Plug this value into the formula:
[tex] \frac{12}{2} = 6 [/tex]
[tex] 6^2 = \boxed{36} [/tex]
36 must be added to make this trinomial a perfect square.