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Proof by contradiction?

If I wrote it formally, I believe I would use a proof by contradiction.

Oops. p^2 in the last reply*

I am not the best at classic proofs; this was my attempt(and I don't even know if it was correct).

Not the way I would do it.

*gives up*.
Good luck, all of you geniuses who'd solve this problem.
Cheers!

negative

using @dominusscholae method of rational root test

this is a polynomial in x with integer coefficients

I'd probably say that mukushla's involves lesser steps.

I agree with your work and conclusion. Once again, good job.

@KingGeorge
thank u.............:)
and hero too

Now I need to come up with another problem of the month that is actually written correctly :/

:)