Why is a polynomial $f(x)$ sum of squares if $f(x)>0 $ for all real values of $x$?
12079
A positive polynomial is the sum of two squares in $\mathbb{R}[X]$
103340
Show that this entire function is polynomial.
1519
Sum of derivatives of a polynomial
69618
What is the sum of non-real roots of the polynomial equation?
146506
If a complex function $f$ is Entire, and there exist $k,R > 0$, $n \in N$ such that $|f(z)| > k|z|^n$ for all $|z| > R$, then f is a polynomial.
22129
Why is $\sqrt{\sum_{i=1}^n |v_i|^2} \leq \sum_{i=1}^n |v_i|$ true?
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
129646
Defining a function that completes the square given a quadratic polynomial expression
49121
Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
33696
A polynomial is zero if it zero on infinite subsets
137218
Does there exist a polynomial $f(x)$ with real coefficients such that $f(x)^2$ has fewer nonzero coefficients than $f(x)$?
97652
Can every real polynomial be factored up to quadratic factors?
132365
Why is absolute value function not a polynomial?
109860
Is the number $7$ a polynomial expression.
141618
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?
40122
Why does the Euclidean algorithm work for polynomials? What is the proof?
41810
Should all polynomial functions from F to F (F is a field) have coefficients in F?