query: Pick out the case(s) which ensure that the polynomial $p(\cdot)$ has a root in the interval $[0, 1]$
positive_passages.docid: 156034
positive_passages.text: sufficient condition for a polynomial to have roots in $[0,1]$
negative_passages.docid: 109778
negative_passages.text: Proving $(x-c)|(p(x)-p(c))$
negative_passages.docid: 122686
negative_passages.text: Find the root of the polynomial?
negative_passages.docid: 40014
negative_passages.text: A polynomial that is zero on an open set
negative_passages.docid: 155245
negative_passages.text: root of an odd degree polynomial
negative_passages.docid: 121076
negative_passages.text: Show $x^p-t$ has no root in the field $\mathbb{F}_p(t)$
negative_passages.docid: 82262
negative_passages.text: minimal polynomial of nth root of 2 over $\mathbb Q$
negative_passages.docid: 54791
negative_passages.text: Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
negative_passages.docid: 67851
negative_passages.text: Does $|x|^p$ with $0<p<1$ satisfy the triangle inequality on $\mathbb{R}$?
negative_passages.docid: 40502
negative_passages.text: The Degree of Zero Polynomial.
negative_passages.docid: 107089
negative_passages.text: finding rational roots of polynomials
negative_passages.docid: 148458
negative_passages.text: $x^p-x \equiv x(x-1)(x-2)\cdots (x-(p-1))\,\pmod{\!p}$
negative_passages.docid: 50084
negative_passages.text: Probability that a quadratic polynomial with random coefficients has real roots
negative_passages.docid: 95594
negative_passages.text: Prove that a polynomial is irreducible or the field contains a $p$th root
negative_passages.docid: 10585
negative_passages.text: Does a polynomial that's bounded below have a global minimum?
negative_passages.docid: 76482
negative_passages.text: Closure of the set of degree $n$ polynomials with $n$ real roots
negative_passages.docid: 46821
negative_passages.text: Finding roots in $\mathbb{Z}_p$