2 problems

Let $p$ be a polynomial on $\mathbb{R}^3$ that is hyperbolic of degree $d$ with respect to $e=(1,0,0)$ and satisfies $p(e)=1$. Let $I$ denote the $d\times d$ identity matrix and le…

Let $p \in {\mathbb R}[x_1,\ldots,x_d]$ be an $RZ_{x^0}$ polynomial of degree $m$ with $p(x^0)=1$. Here, $RZ_{x^0}$ means real-zero with respect to $x^0$. Generalized determinantal…