You have a quadratic trinomial. Set up a generalized couple of binomials and systematically try likely combinations of numbers. Have you been shown or have you seen exemplified the F.O.I.L. method?
If nothing else works you can use the quadratic formula to find the zeros of the function. If they are not integers, then it cannot be factored with integer coefficients. You could still factor it with radicals as Defennder says.