New posts in Roots

proving that $\alpha_1+\alpha_2<-3$ which are the negative roots of $f(x)$

Looking for different approach to find $\left(x_1+\frac1{x_1}\right)\left(x_2+\frac1{x_2}\right)\left(x_3+\frac1{x_3}\right)$

Express roots of equation $acx^2-b(c+a)x+(c+a)^2=0$ in terms of $\alpha, \beta, $

Let $f(x)=x^6-2x^3-8$ and $g(x)=x^2+2x+4$. Let $a_1$ through $a_6$ be its roots. Find the value of $\prod_{n=1}^{6} (g(a_n))$

How do we know that the Sine function has no Non-Real Roots?

A problem related to $2x^3-3x^2-x+\frac{3}{2}=0$

System of equations from roots of polynomial

Polynomial with root $α = \sqrt{2}+\sqrt{5}$ and using it to simplify $α^6$

if $x^5=1$ with $x\neq 1$ then find value of $\frac{x}{1+x^2}+\frac{x^2}{1+x^4}+\frac{x^3}{1+x}+\frac{x^4}{1+x^3}$

A General Way of Finding the Zeroes of a Polynomial