Respuesta :
f(x) = x^2 + 24x + 138
f(x) = x^2 + 24x + (24/2)^2 + 138 - (24/2)^2
f(x) = (x+12)^2 - 6
f(x) = x^2 + 24x + (24/2)^2 + 138 - (24/2)^2
f(x) = (x+12)^2 - 6
Answer:
(x +12)^2 - 6
Step-by-step explanation:
d/dx x^2 + 24x + 138 = 2x + 24
when 2x + 24 = 0, the gradient = 0
x = -12
f(-12) = -6
therefore we have (x +12)^2 - 6.