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Nov 17, 2014 at 18:35 comment added Robert Israel Yes, the point is that it factors, and the cubic factor is the one that contains $p$, so that's what you're actually solving.
Nov 17, 2014 at 18:26 comment added joro @RobertIsrael for n=5 I think I am solving higher degree than cubic, which might be reducible.
Nov 17, 2014 at 18:16 comment added Robert Israel For $n=5$ you're solving the cubic $${t}^{3}-7\,p{t}^{2}+2\,{t}^{2}+7\,pt+2\,t-7\,p+1$$
Nov 17, 2014 at 16:50 history answered joro CC BY-SA 3.0