I have a question, "What is the least value of c if 2x2 - 12x + c is never negative?"
I'm guessing that means c must be found when 2x2 - 12x + c = 0, but I'm not sure what kind of answer I'm supposed to get.
I think we can reason it out like this. We want
2x^2 - 12 x + c >=0
2x(x - 6 ) >= - c
That is it. For all those values of c for which the above inequality holds the function will never be negative.
we can't get definite value because we have one inequality and two variables.