Show that any four polynomials in $P_2$ are linearly dependent
55752
Prove that $n+1$ vectors in $\mathbb{R}^n$ cannot be linearly independent
42362
Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals
103246
Prove that a polynomial of degree $d$ has at most $d$ roots (without induction)
96618
Any finite set of points in in the projective plane can be defined by two polynomials
144225
$\ell_p$ is Hilbert if and only if $p=2$
15811
Finding a basis for a certain vector space of periodic polynomials
131366
Cyclotomic polynomial
109228
Prove that $v, Tv, T^2v, ... , T^{m-1}v$ is linearly independent
130765
Linear dependence of $\left\{x^{n}\,\colon\, n\in\mathbb{N}\right\}$
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
65661
Decomposition of a homogeneous polynomial
158148
Find all polynomials $P(x)$ such that $P(x^2)=P(x)^2$
118950
Irreducibility criteria for polynomials with several variables.
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
51094
Prove that the set of integer coefficients polynomials is countable
1962
Polynomial $P(a)=b,P(b)=c,P(c)=a$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root