How to satisfy an inequality, from a fourth degree polynomial
5410
Prove that $a^2 + b^2 \geq 8$ if $ x^4 + ax^3 + 2x^2 + bx + 1 = 0 $ has at least one real root.
77026
Proof with inequalities
114146
Polynomial in $n$ variables
71482
Solve $p_4(x) = x^4 −(2m + 4)x^2 + (m−2)^2 $such that $p_4$ is a product of two non-constant integer-coeficient polynomials
12079
A positive polynomial is the sum of two squares in $\mathbb{R}[X]$
72081
$\forall x,y>0, x^x+y^y \geq x^y + y^x$
117099
Coefficient Problem (polynomial expansion)
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
61939
Induction of inequality involving AP
40426
Polynomial degree 3 Equation
87331
Real polynomial in two variables
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
77134
Proving a three variables inequality
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
84697
Show that if $|f(z)| \leq M |z|^n$ then $f$ is a polynomial max degree n