Prove that for every polynomial $w(\lambda)=(-1)^{n}\lambda^{n}+a_{n-1} \lambda^{n-1}+...+a_{1}\lambda +a_{0}$
132213
Is every real monic polynomial the characteristic polynomial of a real matrix?
19804
How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
111569
Property of a polynomial with no positive real roots
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
40502
The Degree of Zero Polynomial.
26728
Coefficient of $n$th cyclotomic polynomial equals $-\mu(n)$
154945
$|px^2+qx+r|\le1$ for all $x$ in $[-1; 1]$, show that $|rx^2+qx+p|\le2$ for all $x$ in $[-1; 1]$
76188
Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
128313
Euclid's Lemma for polynomials
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
98855
Prove $aba^{-1}b^{-1}\in{N}$ for all $a,b$
148910
Multivariate polynomials have infinitely many zeroes
18282
Finding the minimal polynomial, the eigenvalues, and the characteristic polynomial of $T(A)=A+A^t$
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
35155
To prove Cayley-Hamilton theorem, why can't we substitute $A$ for $\lambda$ in $p(\lambda) = \det(\lambda I - A)$?
123275
Prove $[A,B^n] = nB^{n-1}[A,B]$