If a function is odd/even, then its best polynomial approximation is also odd/even.
123049
Why is the polynomial best approximation to an even function itself even?
32352
Is a bivariate function that is a polynomial function with respect to each variable necessarily a bivariate polynomial?
15914
Prove that any polynomial function is continuous
17047
Prove that if n is even then $n^2$ is even and if n is odd then $n^2$ is odd?
139019
Polynomial satisfying $f(x) = f'(x) \cdot f''(x)$
96618
Any finite set of points in in the projective plane can be defined by two polynomials
44880
Prove that the derivative of an even differentiable function is odd, and the derivative of an odd is even.
152347
Proof that a certain entire function is a polynomial
17583
By viewing the polynomials as a difference of two squares, factorise the following polynomials.
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
60309
Let X be a subset of {1,2,...,2014}...
40269
Proving if $x^3$ is even, then $x$ is even.
7833
Ideal and minimal polynomial
150508
∗∗Prove that each graph with an even number of vertices has two vertices with an even number of common neighbors.
151729
Existence of a unique polynomial
155138
Chebyshev polynomials increase more quickly than any other polynomial outside $[-1,1]$
86067
A Variation of the even-town odd-town problem