Show that all roots of a Polynomial must be real numbers
55119
Proof that the coefficients of a polynomial are real
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.
154393
Roots of polynomial with real coefficients appear in conjugate pairs.
111569
Property of a polynomial with no positive real roots
60041
Number of real roots of $3^x+4^x=2^x+5^x$ with proof
68617
Show that an entire function that is real only on the real axis has at most one zero, without the argument principle
85681
Cardinality of polynomials with real coefficients
83363
Finding the real root of a cubic algebraically
41193
Number of integral roots of a polynomial
80002
zeros of a polynomial
97652
Can every real polynomial be factored up to quadratic factors?
102307
Discrete Math Proofs Involving Real Numbers
155444
Show that entire function $f$ is a polynomial of degree at most $n$
137718
Prove that the complex expression is real
13981
Proof that every polynomial of odd degree has one real root
153969
The "elements" of a real number
158063
A formula for the roots of a solvable polynomial