Rationalizing denominator containing a root of a polynomial - why is this possible / why does it work?
28313
Intermediate ring between a field and an algebraic extension.
157417
Understanding the definition of a multiple (double) root
113016
Remainder form of Taylor polynomial at $x_0$: $ \frac{1}{n!}f^{(n)}(x_0 +\theta(x-x_0))(x-x_0)^n$ with $\theta \to \frac{1}{n+1}$ as $ x \to x_0$
129855
How to find root of derivative of any polynomial/equation?
116204
Polynomial Remainder Question?
48977
Polynomials having as roots the sum (respectively, the product) of two algebraic elements
33184
Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends
126940
Converting expressions to polynomial form
138756
How to Calculate the Sum of Coefficients in a Polynomial with known Integer Roots
40122
Why does the Euclidean algorithm work for polynomials? What is the proof?
122686
Find the root of the polynomial?
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
17265
Intuition for why equations of the form $k^x=x^c$ are not solvable trivially?
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
117816
Is $\frac{x^2+x}{x+1}$ a polynomial?
131289
Polynomial with a root modulo every prime but not in $\mathbb{Q}$.