If a is such a constant so that 9x^2 + 24x+a is the square of a bionamal. What is a?
We need
(3x + m) (3x + m ) = 9x^2 + 6mx + m^2
So
6m = 24
m =4
(3x + 4)^2 = 9x^2 + 24x + 16
m^2 = 16 = a
a = 16
+14 
