What tax form do I use to file my taxes if I had a pay out from a pension plan?

You can't use 1040EZ for that, you'll need 1040A (line 12a&b) or 1040 (line 16 a&b). You should have gotten a form 1099-R for the amount paid out. If you didn't roll it over into an IRA you probably owe a 10% penalty for early withdrawal unless you're age 59-1/2 or over

if you are in a job that offers a retirement plan that reduces your gross by your contribution the income tax on it has already been reduced, and your W-2 will reflect the amount of your income that is taxable(the amount of your contribution is reported in Box # 12) as such there is no place on a 1040 that you need to report this if you contribute to an IRA, of course this is reported on one the 'credit' lines following your gross income and you can visibly see the amount this reduces your gross a Roth is not reported on your 1040 anywhere, you will get statements from your financial institution of your contribution but it is not a taxable event at contribution or distribution(once held 5 yrs) an unqualified pension plan would be of no benefit to you