A polarizer is usually not the best fix for this. LCD/flat-panel screens already emit polarized light, so putting a polarizer on the camera can interfere with the screen image and may make the display look wrong or uneven.

For a studio TV, the more reliable solution is to control the reflection geometrically: raise or reposition the lights so their reflections fall below or away from the camera angles, or use flags to block the lights from reflecting in the screen without shading the talent.

Cross-polarization can sometimes reduce glare if nothing needs to be visible on the screen, but it usually won’t eliminate reflections completely, and it becomes impractical with multiple cameras because the ideal polarizer angle changes with each camera/light/viewing angle.

If you must show screen content cleanly in a wide shot, common workarounds are to replace the screen area in post, use a greenscreen/traveling matte approach, or otherwise composite the presentation content later.

So: prioritize light placement and flags first; use post/compositing if the on-screen image must look perfect.