query: A polynomial with solvable Galois group and solution by radicals
positive_passages.docid: 158063
positive_passages.text: A formula for the roots of a solvable polynomial
negative_passages.docid: 115834
negative_passages.text: Cubic polynomial with three (distinct) irrational roots
negative_passages.docid: 71482
negative_passages.text: Solve $p_4(x) = x^4 −(2m + 4)x^2 + (m−2)^2 $such that $p_4$ is a product of two non-constant integer-coeficient polynomials
negative_passages.docid: 146591
negative_passages.text: Inseparable polynomial over a non-perfect field
negative_passages.docid: 65661
negative_passages.text: Decomposition of a homogeneous polynomial
negative_passages.docid: 127330
negative_passages.text: Exercises on Galois Theory
negative_passages.docid: 157496
negative_passages.text: Determine the Galois group of $\mathbb{Q}(\sqrt{a+b\sqrt{d}})$
negative_passages.docid: 139218
negative_passages.text: Is this group solvable?
negative_passages.docid: 4885
negative_passages.text: Polynomials with integer coefficients such that $p(a)=b,p(b)=c,p(c)=a$
negative_passages.docid: 70981
negative_passages.text: Galois Group of $x^5+1$
negative_passages.docid: 119832
negative_passages.text: Galois group of the splitting field of the polynomial $x^5 - 2$ over $\mathbb Q$
negative_passages.docid: 68128
negative_passages.text: Two term free resolution of an abelian group.
negative_passages.docid: 140808
negative_passages.text: Problem on Galois theory and irreducible polynomial
negative_passages.docid: 3036
negative_passages.text: Is a polynomial equation of degree $\ge 5$ not solvable by any way?
negative_passages.docid: 95692
negative_passages.text: Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
negative_passages.docid: 95563
negative_passages.text: Galois group of a biquadratic quartic
negative_passages.docid: 107089
negative_passages.text: finding rational roots of polynomials