let $p$ be a polynomial. If $p(x)=p(x+1)$ for all real $x$, then prove that $p$ is constant.
35071
Periodic polynomial?
56978
How to Prove that if $f(z)$ is entire, and $f(z+i) = f(z), f(z+1) = f(z)$, then $f(z)$ is constant?
34223
Prove that every function that verifies $|f(x)-f(y)|\leq(x-y)^2$ for all $x,y$ is constant.
94682
Polynomial: prove there is no double root
48260
If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
80502
$p(x)$ divided by $x-c$ has remainder $p(c)$? [Polynomial Remainder Theorem]
29811
Find all polynomials $P$ such that $P(x^2+1)=P(x)^2+1$
11158
Proof that a continuous function with $f(x) = f(x^2)$ is constant.
131869
How to find all polynomials P(x) such that $P(x^2-2)=P(x)^2 -2$?
132113
Does $f(x) = f(2x)$ for all real $x$, imply that $f(x)$ is a constant function?
27540
A polynomial can not have infinite number of constant values
109102
Determine all real polynomials with $P(0)=0$ and $P(x^2+1)=(P(x))^2+1$
1962
Polynomial $P(a)=b,P(b)=c,P(c)=a$
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.
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
89354
Polynomials, prove exercise question about question