Algebra/polynomials contest-math problem about sum of squares of coefficients
15730
Determine the minimum of $a^2 + b^2$ if $a,b\in\mathbb{R}$ are such that $x^4 + ax^3 + bx^2 + ax + 1 = 0$ has at least one real solution
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
53244
Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
148834
Find three polynomials whose squares sum up to $x^4 + y^4 + x^2 + y^2$
94060
Sum of square binomial coefficients
94179
Problems on Cyclotomic Polynomials
31970
Alternating sum of squares of binomial coefficients
110297
Problem related to quadratic equations
149481
Number theory counting sums of squares modulus
129653
Solving a polynomial with grouping
132410
Difficult Polynomial Question
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
1519
Sum of derivatives of a polynomial
22840
The sum of the first $n$ squares is a square: a system of two Pell-type-equations
103763
Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
55206
Prove that the equation $x^4+(2k^2)x^2+2k^4$ is not a perfect square
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