query: Factorize $x^4+x^2+1$
positive_passages.docid: 17583
positive_passages.text: By viewing the polynomials as a difference of two squares, factorise the following polynomials.
negative_passages.docid: 67899
negative_passages.text: Integer squares of the form $x^4+x^3+x^2+x+1$
negative_passages.docid: 155452
negative_passages.text: Prime factorization of square numbers
negative_passages.docid: 136077
negative_passages.text: Prove that $x-1$ is a factor of $x^n-1$
negative_passages.docid: 116616
negative_passages.text: Could $X^3 + X + 1$ have a root in $E?$
negative_passages.docid: 109699
negative_passages.text: How to factor$ x^2+2xy+y^2 $
negative_passages.docid: 53725
negative_passages.text: Factor $(x+y)^4+x^4+y^4$
negative_passages.docid: 134699
negative_passages.text: Can *any* real polynomial be factored linearly (plus a constant) over $\mathbb{R}$?
negative_passages.docid: 85525
negative_passages.text: Prove that $x^3+x+1$ splits in $Z_2[x]/(x^3+x+1)$
negative_passages.docid: 114529
negative_passages.text: Factoring/Reducing a polynomial $x^4 -2x^3 + 2x^2 + x + 4$
negative_passages.docid: 16035
negative_passages.text: Irreducibility of $X^{p-1} + \cdots + X+1$
negative_passages.docid: 48657
negative_passages.text: Solving factorial equations
negative_passages.docid: 55509
negative_passages.text: Factor a polynomial over the reals
negative_passages.docid: 97654
negative_passages.text: Rewrite a real polynomial in real (but only linear and quadratic) factors
negative_passages.docid: 95602
negative_passages.text: Computing the Galois group of $x^4+ax^2+b \in \mathbb{Q}[x] $
negative_passages.docid: 66558
negative_passages.text: Find the value of $a$ and $b$ if $x+1$ and $x−2$ are factors of $ax^3−4x^2+bx−12$
negative_passages.docid: 87304
negative_passages.text: Solving for $x$ : $a^x+b^x=c$