Mike, First, before you mount the scope,...place the scope against a mirror and while looking through it, adjust the cross hairs to insure the reticle is centered...If you see two reticles, it is not centered...adjust until you only see one reticle..
Lock your rifle down in a cleaning cradle or some other method of holding the rifle very steady and center the bore on a distant object... I use a neighbor's basketball goal that happens to be 100 yards away from my kitchen window...
Set the scope in the mounted rings without tightening them and insure that your reticle is on the object you used for sighting through the bore.. That will give you your initial reading as to the alignment of your rings to the bore...If every thing appears to be aligned, then you need to lap your rings to insure that they are going to let the scope rest in a straight line with no tension in any direction..
If the scope and bore pictures do not match, then you have a problem with the mounting of the rings and that needs to be rectified before proceeding to mounting the scope any farther..
If the rings are out of alignment and you tighten down the scope, you run the risk of actually bending the scope, or at a minimum throwing off the reticle and it's adjustments..
An alternative is employing some rings made by Burris that have neoprene inserts that prevent damage to the scope and have adjustment of '0', '+/-5', and '+/-10' MoA adjustments to allow for more or less elevation if needed...
At any rate, by properly setting up your scope initially, you should be very close to "zero" on your initial trip to the range and require very little adjustment (5 shots), other than fine tuning the windage and elevation for the bullet weight you are shooting...
Some people simply slap on the rings and tighten down the scope and wind up spending a lot of frustrating time and never getting the rifle to "Shoot" the way they expect it to..simply because the scope has been torqued out of alignment due to haste...and lack of attention to the mounting detail...