Proving that this polynomial is relatively prime to it's derivative
138083
$\gcd(X^n - 1, nX^{n-1}) = 1$ in a field $K$ of characteristic $0$ or characteristic $p \nmid n$.
10514
Proof that no polynomial with integer coefficients can only produce primes
124390
Derivative of Legendre polynomial satisfies $\int P'_m(x) P'_n (x) (1-x^2) dx = 0$
83022
Proof of this fairly obscure differentiation trick?
6722
to show $f$ is a polynomial in $z$
90287
How to derive $[x_i, F(\vec p)] = i \hbar \frac {\partial F(\vec p)}{\partial p_i}$
110093
Proving that the solution to $f^{\prime}(x) = \frac{1}{x^{2} + (f(x))^{2}}$ is bounded above.
123602
Non integer derivative of $1/p(x)$
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
115834
Cubic polynomial with three (distinct) irrational roots
139019
Polynomial satisfying $f(x) = f'(x) \cdot f''(x)$
1641
Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
65901
Solution verification to complex analysis problem, prove $f$ is a polynomial.
119999
A property of every real polynomial.
111233
Analytic function and the Lagrange interpolating polynomial
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
129855
How to find root of derivative of any polynomial/equation?