Let $x_n \rightarrow x$ and let $p(t)$ be a polynomial. Show that $p(x_n) \rightarrow p(x)$
103932
How can I prove that a polynomial with degree $n$ is continuous everywhere in $\mathbb{R}$ using definitions?
31544
How to prove that this polynomial is larger than another for positive reals?
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
76694
Proving that $UT=TU$ iff $U=g(T)$ for some polynomial $g$
6722
to show $f$ is a polynomial in $z$
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
59187
Proof, is $\forall x : (P(x) \lor Q(x)) \Leftrightarrow \forall x : P(x) \lor \forall x : Q(x)$?
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
33011
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
76955
Proof the Legendre polynomial $P_n$ has $n$ distinct real zeros
84697
Show that if $|f(z)| \leq M |z|^n$ then $f$ is a polynomial max degree n
2677
Baire: Show that $f\colon \mathbb{R}\to\mathbb{R}$ is a polynomial in an open bounded set
55119
Proof that the coefficients of a polynomial are real