New posts in roots

How many zeros does $z^{4}+z^{3}+4z^{2}+2z+3$ have in the first quadrant?

complex-analysis roots

How to imagine zeros of an analytic function of several variables

complex-analysis roots analyticity several-complex-variables

Real Roots and Differentiation

Number of real roots of a quintic polynomial

calculus derivatives polynomials roots rolles-theorem

How prove this limit $\displaystyle\lim_{n\to \infty}a_{n}=1$

sequences-and-series limits roots

Existence of real roots of a quartic polynomial

polynomials roots quartics

What is the general solution of a multivariate quadratic equation

roots quadratics

Number of roots of $x^a-1=0$ with $a \in \mathbb{C}$

complex-analysis polynomials roots

Given a cubic and quadratic share a root, prove $(ac-b^{2})(bd-c^{2})\geq 0$

real-analysis algebra-precalculus polynomials roots

Roots of Sum of Two Polynomials (with Known Roots)

polynomials roots

How do we solve $a \le b^{r}-r$ for $r$?

algebra-precalculus exponentiation roots

Find the value of $\frac{1+2x}{1+\sqrt{1+2x}}+\frac{1-2x}{1-\sqrt{1-2x}}$ for $x=\frac{\sqrt3}{4}$.

algebra-precalculus roots radicals

Find the roots of the polynomial $x^4+2x^3-x-1=0$.

algebra-precalculus polynomials contest-math roots

I want to show that the polynomial below has integer coefficients.

polynomials roots symmetric-polynomials

Solving Equation through inequalities.

algebra-precalculus elementary-number-theory inequality roots a.m.-g.m.-inequality

Distinct roots of $ax^2-bx+c=0$ in $(0,1)$, where $a,b,c\in \mathbb{Z}^+$

roots quadratics

Finding $x^8+y^8+z^8$, given $x+y+z=0$, $\;xy +xz+yz=-1$, $\;xyz=-1$

calculus algebra-precalculus systems-of-equations roots symmetric-polynomials

Shared root to "bobech", "bobbin" and "bobby"?

etymology nouns roots

sum of reciprocals of derivative of polynomial at its roots

calculus polynomials roots

Why can a quartic polynomial never have three real and one complex root?

algebra-precalculus polynomials complex-numbers roots quartics