Question 761859
The form of F is in {{{f(x)=ax^2+bx+c}}}, and in your case, {{{c=0}}}.
Your function as a graph has a maximum and opens downward, because your value for a is {{{a<0}}}, because {{{a=-3}}}.


Finding the roots is very easy, and can be used to find the maximum value for F.
Look for where {{{-3*(x)(x+1)=0}}}.
Roots are 0 and -1.  Find then {{{F(-1/2)}}} because this will be the maximum value for F.