[tex]aX^2 + bX + c[/tex] where X belongs to the reals. I am reading an analysis book and one of the problems asks me to minimize this general form polynomial. I know that normally you would take the derivative and set it equal to zero, but in this case does that make sense? I would get the minimum is b when X = 0. If that is the answer, how does that help me to show that [tex] b^2 -4ac \leq 0 [/tex] Thank-you for the help.