What is the maximum value of 4(x + 7)(12 - x)?
4 ( x + 7) ( 12- x)
The roots are x = -7 and x =12
Because of symmetry.....the max occurs at x = ( 12 + - 7) / 2 = 5/2 = 2.5
Subbing this back into the original expression , the max is
4 ( 2.5 + 7) ( 12 - 2.5) =
4 ( 9.5) ( 9.5) =
361
