New posts in Roots

Finding $\frac{2a^5 - 5a^4 + 2a^3 - 8a^2}{a^2 + 1}$

Why isn't $x^2+x+1$ a factor of $x^{12}+x^6+1$?

Prove that, if $y''+w(x)y=0,$ then $y$ has infinitely many zeroes

$f(x),g(x)$,2 quadratic polynomials:$|f(x)|≥|g(x)|∀x ∈ R$. Find the number of distinct roots of equation $h(x)h''(x)+(h'(x))^2=0$ if $h(x)=f(x)g(x)$

Prove that $1 \leq A \leq \frac{5}{4}$ and $0 \leq B < \frac{81}{16}$

How can I prove that $p(x)=x^4+x+1$ doesn't have real roots?

Solve $\sqrt[4]{x}+\sqrt[4]{x+1}=\sqrt[4]{2x+1}$

Given that $x_0$ is a real root of $x^3+px + q = 0$, how can I show that $p^2 \geq 4x_0q$?

A problem involving the roots of quartic polynomial $x^4+px^3+qx^2+rx+1$

Solving for positive reals: $abcd=1$, $a+b+c+d=28$, $ac+bc+cd+da+ac+bd=82/3$