What is the maximum value of 4(x + 7)(2 - x) + 4(x + 7)(8 - x), over all real numbers x?
+2668 First, we need to simplify \(4(x + 7)(2 - x) + 4(x + 7)(8 - x)\)into \(−8x^2−16x+280\)
The maximum value of any quadratic equation is \(c - b^2/4a\), when the quadratic is in \(ax^2 + bx + c\). By subsituting, we find that the maximum value for this equation is \(\color{brown} 288\).
