How do I prove that a function $f_2$, defined as the product of a negligible function $f_1$ and a polynomial $p$, is itself negligible?
I see $f_2$ as negligible simply because I know that if you have something that has a negligible probability of happening $(f_1)$ then if you try a polynomial number of times $(p)$ we are still left with a negligible result. But I do not know how to prove this. I would appreciate if someone could point me in the right direction.
I have had a look here in particular the proof for the second Lemma, I think my question is related to the necessity part of the proof, but it seems to have confused me more than it helped.