What can be P(0), when $P(x^2+1)=(P(x))^2+1$ and P(x) is polynomial?
29811
Find all polynomials $P$ such that $P(x^2+1)=P(x)^2+1$
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
154507
If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
122686
Find the root of the polynomial?
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
13083
If for a polynomial $P(k) = 2^k$ for $k = 0, 1, . . . , n$, what is $P(n+1)$?
132410
Difficult Polynomial Question
45454
Pairs of $(p,q)$ such that $p^2 + 1 = 2 q^2$?
157487
Showing a polynomial having at least one integer root under certain conditions has precisely one integer root
158148
Find all polynomials $P(x)$ such that $P(x^2)=P(x)^2$
54212
Another polynomial equation
100862
Polynomials with rational zeros
96554
Why is $x^0 = 1$ except when $x = 0$?
124380
existence of sequence of polynomial
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial