Give a cubic polynomial, defined on the open interval (-5,4), which reaches both its min and max values
36989
Determining functions from specifications...
87331
Real polynomial in two variables
129646
Defining a function that completes the square given a quadratic polynomial expression
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
116307
Polynomial whose only values are squares
81063
If $p$ is a polynomial, then either $\,p(z)=z^n\,$ or $\,\max_{|z|=1}|p(z)|>1$.
148545
Degree of interpolation polynomial
105395
Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
98273
minimal polynomial of powers of a matrix
150037
Finding the simplest rational in a closed interval
2408
Show that a polynomial has at least one positive solution/root.
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
103763
Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
76441
Max. and Min. value of $|z|$ in $\left|z+\frac{2}{z}\right| = 2\,$