What is the maximum value of 4(x + 7)(2 - x) + 2x^2 + 8x - 3, over all real numbers x?
4(x + 7)(2 - x) + 2x^2 + 8x - 3 simplify to
-4x^2 -20x +56 + 2x^2 + 8x-3
-2x^2 -12x + 53 max will occur at x = -b/2a = - -12/((2)(-2) = - 3
use this 'x' in the equation to calculate the max value (the 'y' value)