If the function f(x) = x3 - 9x2+24x +c has 3 real and distinct roots p, q,and r, find the sum of all possible distinct values of [p] +[q]+[r] where [.] denote greatest integer function.
If the function f(x) = x3 - 9x2+24x +c has 3 real and distinct roots p, q,and r, find the sum of all possible distinct values of [p] +[q]+[r] where [.] denote greatest integer function.