query: The polynomial $z^4+z+1,~z \in \mathbb C$ has exactly two zeros in the right half plane?
positive_passages.docid: 154322
positive_passages.text: Localizing the zeros of $z^4+z+1$
negative_passages.docid: 141184
negative_passages.text: Proof that a degree 4 polynomial has at least two roots
negative_passages.docid: 53669
negative_passages.text: Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
negative_passages.docid: 43511
negative_passages.text: Proving products of coefficients of two polynomials are zero when the product of the polynomials is zero
negative_passages.docid: 114812
negative_passages.text: Let $p(z)=z^n+a_{n-1}z^{n-1}+a_{n-2}z^{n-2}+...+a_0$ be a complex polynomial satisfying $|p(z)| \leq 1$ for $|z|\leq 1$, then prove that $p(z)=z^n$
negative_passages.docid: 71799
negative_passages.text: A complex polynomial with partial derivatives equal to zero is constant.
negative_passages.docid: 121714
negative_passages.text: Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
negative_passages.docid: 121373
negative_passages.text: Elementary Symmetric Polynomials, Roots of cubic polynomials
negative_passages.docid: 138605
negative_passages.text: Why `Chop` does not make the real part of machine complex numbers an exact zero?
negative_passages.docid: 124300
negative_passages.text: $\lambda-z-e^{-z}=0$ has one solution in the right half plane
negative_passages.docid: 37936
negative_passages.text: Solve for z^8-z^4+1 = 0
negative_passages.docid: 134342
negative_passages.text: Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
negative_passages.docid: 94962
negative_passages.text: For complex $z$, $|z| = 1 \implies \text{Re}\left(\frac{1-z}{1+z}\right)  = 0$
negative_passages.docid: 68934
negative_passages.text: Define the polynomial ring $\Bbb Q[c][x]$.Find the $c$ values where $x^2 + x + c + 1$ has a double root.
negative_passages.docid: 117816
negative_passages.text: Is $\frac{x^2+x}{x+1}$ a polynomial?
negative_passages.docid: 39492
negative_passages.text: Finding $z\in \mathbb C$ with $\sin z = 2$?
negative_passages.docid: 63742
negative_passages.text: A key doubt about the resultant of two polynomials and their common zero locus