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What is the maximum value of 4(x + 7)(2 - x) + 2x^2 + 8x - 3, over all real numbers x?

 Jan 25, 2022
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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)

 Jan 25, 2022

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