Show that the polynomial $x^8 -x^7 +x^2 -x +15$ has no real root.
61148
Finding real roots of $ P(x)=x^8 - x^7 +x^2 -x +15$
122686
Find the root of the polynomial?
54875
How to prove polynomials with degree $n$ does not form a vector space?
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
109102
Determine all real polynomials with $P(0)=0$ and $P(x^2+1)=(P(x))^2+1$
131289
Polynomial with a root modulo every prime but not in $\mathbb{Q}$.
80002
zeros of a polynomial
141184
Proof that a degree 4 polynomial has at least two roots
63409
If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer
54212
Another polynomial equation
94682
Polynomial: prove there is no double root
102432
Irreducible polynomial of degree $8$
154393
Roots of polynomial with real coefficients appear in conjugate pairs.
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
112114
Detailed proof that no essential singularity at infinity implies polynomial
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
103340
Show that this entire function is polynomial.