Prove that the roots are real and that they belong to the interval $-1 \le x \le 1$
107765
Prove that there exists two roots in $[-1,1]$
63689
proving roots of equation $x^2+x+4f=0$ are real.
55119
Proof that the coefficients of a polynomial are real
120600
Real analysis derivate problem. How can I prove this?
131881
Show that the roots of P' lie in the same half plane as the roots of P
30204
Prove that $f'(0)$ exists and $f'(0) = b/(a - 1)$
73478
Show that the equation $a_1e^{\alpha_1x} + a_2e^{\alpha_2x} + \cdots + a_ne^{\alpha_nx} = 0$ has at most $n - 1$ real roots.
118613
Proving an inequality: $|1-e^{i\theta}|\le|\theta|$
95293
Proof that $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|},\quad x,y \geq 0$
86882
Proving Gauss' polynomial theorem (Rational Root Test)
55197
Roots of $ x^3-3x+1$
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
68567
Prove that every complex number with modulus 1 and is not -1, has this property
22232
Proving that cardinality of the reals = cardinality of $[0,1]$
3820
Prove that $||x|-|y||\le |x-y|$