# user29553

 Mar 17 awarded Notable Question Oct 7 awarded Popular Question Apr 30 accepted The roots of $t^5+1$ Apr 29 awarded Commentator Apr 29 comment The roots of $t^5+1$@CliveNewstead, so the roots are -1, -w, -w^2, -w^3, -w^4, with w=e^(2ipi/5)? Apr 29 asked The roots of $t^5+1$ Apr 26 asked Ramsey theory - colouring of edges Apr 22 comment Factorisation of a polynomial over $\mathbb Q(i,\sqrt 5)$Of course..! Thank you for the point out :) Apr 22 asked Factorisation of a polynomial over $\mathbb Q(i,\sqrt 5)$ Apr 21 accepted Irreducible Polynomial over $\mathbb{Q}$ Apr 20 awarded Scholar Apr 20 accepted Irreducibility of polynomials Apr 20 revised Irreducible Polynomial over $\mathbb{Q}$edited body Apr 20 comment Irreducibility of polynomialsThanks for the clarification, I understand the use of the primitive cube root of unity now :) Apr 20 comment Irreducible Polynomial over $\mathbb{Q}$Thank you, Martin, this has helped a lot! Is there a way to achieve this result without looking at the poly in Z2? Apr 20 comment Irreducible Polynomial over $\mathbb{Q}$Thank you! I would not have come across using Gauss's theorem of primitive polynomials unless after many hours! So, can we use this for any primitive polynomial, i.e. can we use this principle to find the factorisation of g(x), a primitive cubic poly? Many thanks. Apr 20 asked Irreducible Polynomial over $\mathbb{Q}$ Apr 20 awarded Supporter Apr 20 comment Irreducibility of polynomialsHi there, thank you for such a wonderfully detailed explanation, it was extremely helpful! I was wondering, should the quadratic in Z5 read (x^2+3x+4) rather than (x^2+2x+4)? And hence the discriminant be 9-16=-7 congruent to 3 mod 5? Also, as for the complex factorisation, could you please explain to me why we are going about it by introducing the primitive root of unity (I understand what the primitive root of unity is, etc.)? Thank you. Apr 20 comment Irreducibility of polynomialsIt can be expressed as such, yes. I think I understand your meaning, thank you :)