A positive polynomial is the sum of two squares in $\mathbb{R}[X]$
53244
Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
117743
Remainder of the polynomial
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
155559
Quickest way to determine a polynomial with positive integer coefficients
129646
Defining a function that completes the square given a quadratic polynomial expression
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
33944
Describe $\mathbb{R}[x]/(x^{2}+ax+b)$ where $a,b \in \mathbb{R}$
157733
Are positive real numbers $x,y$ allowed to be taken out during this proof?
131596
Symmetric Inequality in $\mathbb{R}$
148813
Prove: $f: \mathbb{R} \rightarrow \mathbb{R}$ st for every $x \in \mathbb{R}$ there exists $n$ st $f^{(n)}(x) = 0$, f is a polynomial.
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
2408
Show that a polynomial has at least one positive solution/root.
71572
factor-square property (FSP) of polynomials
82771
Proving that any polynomial $p:\mathbb{R}\rightarrow \mathbb{R}$ is not bounded, but its restriction to any bounded set is bounded
134442
Can a matrix in $\mathbb{R}$ have a minimal polynomial that has coefficients in $\mathbb{C}$?