query: Irreducibility of $x^5-9$
positive_passages.docid: 10627
positive_passages.text: When is $X^n-a$ is irreducible over F?
negative_passages.docid: 23684
negative_passages.text: Prove for all integer $n > 1$ that if $n | 34$, then $n+5$ and $n^2+$9 are coprime
negative_passages.docid: 132572
negative_passages.text: Why this polynomial is irreducible?
negative_passages.docid: 41693
negative_passages.text: Use irreducible fibers to show $X$ is irreducible
negative_passages.docid: 70249
negative_passages.text: Irreducibility of Polynomials in $k[x,y]$
negative_passages.docid: 146887
negative_passages.text: Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
negative_passages.docid: 11962
negative_passages.text: Irreducibility check for polynomials not satisfying Eisenstein Criterion.
negative_passages.docid: 66355
negative_passages.text: A sufficient condition for irreducibility of a polynomial in an extension field.
negative_passages.docid: 51221
negative_passages.text: Is $x^3-9$ irreducible over the integers mod 31?
negative_passages.docid: 153062
negative_passages.text: Question about irreducible Gaussian integers
negative_passages.docid: 34387
negative_passages.text: Is the number of irreducibles in any number field infinite?
negative_passages.docid: 78549
negative_passages.text: Any prime is irreducible
negative_passages.docid: 111935
negative_passages.text: Irreducible but not prime
negative_passages.docid: 121658
negative_passages.text: $x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
negative_passages.docid: 55432
negative_passages.text: Infinite distinct factorizations into irreducibles for an element
negative_passages.docid: 64878
negative_passages.text: Is this polynomial irreducible in $\mathbb{Q}$?
negative_passages.docid: 106914
negative_passages.text: Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree