Show that $(x-\alpha)(x-\overline{\alpha})$ is a also a factor of $p(t)$ over the complex numbers
37593
Can all real polynomials be factored into quadratic and linear factors?
7042
Defined integral of $x^{\alpha} (1-x)^{\beta-1}$
51465
New, elegant proofs for $\varphi(p^{k})=p^{k}-p^{k-1}$
104688
How can I prove that $x-{x^2\over2}<\ln(1+x)$
13162
Prove $\alpha \in R[[x]]$ is a unit iff $a_0 \in R$ is a unit
154076
How to show this property of $\mathbb{RP}^{n}$.
48268
How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
120010
Show that $\aleph_{\alpha}^{\aleph_{1}} = \aleph_{\alpha}^{\aleph_{0}}\cdot 2^{\aleph_1}$
69082
Show that $\frac{X}{X+Y}\sim Beta(\alpha,\beta)$
135941
Derivative of $|x|^\alpha$
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
135751
Show that $Int(A)=X\setminus\overline{X\setminus A}$.
133528
$\lvert K(\alpha_1,\dots,\alpha_n) : K \rvert$ is a divisor of $n!$
66610
Finding a correspondence between $\{0,1\}^A$ and $\mathcal P(A)$
44912
Prove that $ \overline {A^\complement} = (A°)^\complement $
93825
Fourier transform of power function $t^\alpha$
149661
For $n=pq$, show that there exist $\alpha, \beta \in Z_n^*$ such that $\alpha, \beta \notin (Z_n^*)^2$ and $\alpha \cdot \beta \notin (Z_n^*)^2$.