The Predator Z57 only has DisplayPort 1.4 and HDMI 2.1, neither of which are good for 240 Hz at this resolution. To put it into context, running this monitor at 240 Hz is equivalent in bandwidth terms ...
Fortunately, there are many great gaming monitors available today, including those offering ultra high-refresh 1080p, zippy 1440p options, high-fidelity 4K, and a slew of ultrawide panels.