query: Search of the roots of a polynomial of grade $n$: why do not exists a closed formula?
positive_passages.docid: 147952
positive_passages.text: Why can we prove mathematically that a formula to solve an (n+5) order polynomial does not exist?
negative_passages.docid: 148545
negative_passages.text: Degree of interpolation polynomial
negative_passages.docid: 106914
negative_passages.text: Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
negative_passages.docid: 153480
negative_passages.text: Roots of a characteristic equation. Can Mathematica solve it?
negative_passages.docid: 6484
negative_passages.text: Polynomials in one variable with infinitely many roots.
negative_passages.docid: 40502
negative_passages.text: The Degree of Zero Polynomial.
negative_passages.docid: 99737
negative_passages.text: Using Rouché's theorem to find a compact domain for the roots of a polynomial
negative_passages.docid: 155245
negative_passages.text: root of an odd degree polynomial
negative_passages.docid: 131366
negative_passages.text: Cyclotomic polynomial
negative_passages.docid: 129855
negative_passages.text: How to find root of derivative of any polynomial/equation?
negative_passages.docid: 62239
negative_passages.text: For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
negative_passages.docid: 107976
negative_passages.text: Find a closed formula for $\sum_{n=1}^\infty nx^{n-1}$
negative_passages.docid: 120940
negative_passages.text: An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
negative_passages.docid: 97028
negative_passages.text: Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5
negative_passages.docid: 115834
negative_passages.text: Cubic polynomial with three (distinct) irrational roots
negative_passages.docid: 157266
negative_passages.text: Can a nonzero polynomial evaluate to the zero function in a suitable infinite ring of char 0?
negative_passages.docid: 85383
negative_passages.text: No. Of real roots of an equation