What is the maximum value of 4(x + 7)(2 - x) + 4(x + 7)(8 - x), over all real numbers x?
First, we need to simplify 4(x+7)(2−x)+4(x+7)(8−x)into −8x2−16x+280
The maximum value of any quadratic equation is c−b2/4a, when the quadratic is in ax2+bx+c. By subsituting, we find that the maximum value for this equation is 288.