Prove odd degree polynomials have roots.
13981
Proof that every polynomial of odd degree has one real root
127547
Prove that If $f$ is polynomial function of even degree $n$ with always $f\geq0$ then $f+f'+f''+\cdots+f^{(n)}\geq 0$.
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
46821
Finding roots in $\mathbb{Z}_p$
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
155444
Show that entire function $f$ is a polynomial of degree at most $n$
114796
Direct proof that the product of odd integers is odd
86882
Proving Gauss' polynomial theorem (Rational Root Test)
89354
Polynomials, prove exercise question about question
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
111569
Property of a polynomial with no positive real roots
16660
Prove that any positive number has an $n$th root
72410
If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
154393
Roots of polynomial with real coefficients appear in conjugate pairs.
27063
Prove that if n is an odd positive integer , then $n^2\equiv1\mod8$
158063
A formula for the roots of a solvable polynomial
40502
The Degree of Zero Polynomial.