From what I understand is that you can look at both $5$ and $0$ as polynomials. The difference is that the degree of the constant polynomial $5$ is $0$, and here is what I am not sure about. I think that …

Mar 2, 2025 · $q (x) = f (2x)-f (x)$ would be a polynomial of degree $\le 2 \partial f$ that is zero everywhere.

Apr 19, 2022 · For example, the polynomial $2x^2 - x + 3$ has coefficients $2$, $−1$, and $3$... The constant coefficient is the coefficient not attached to variables in an expression.

May 31, 2013 · Do you know abstract algebra, esp. the distinction: formal polynomials vs. polynomial functions? What is the source/context of the question?

May 4, 2024 · As in the very astute comment above, the extended complex plane is basically the one-point compactification of $\Bbb R^2,$ known as the Riemann sphere. And there's only one point at …

Aug 11, 2021 · 9 Given a polynomial that is not constant, of course, it doesn’t contain a constant interval. But how can we prove it? Since the polynomial is differentiable over R, I came up with a solution that …

Aug 15, 2017 · Each of the solutions $-2, 3$, and $4$ appears in our product of factors as being subtracted from x. So the constant term is the product of the negatives of the solutions. By the way, …

Nov 26, 2013 · find a non-constant polynomial function $p (x)$ such that $p (1)=p (2)=p (3)=4$. I try to solve it but do not know where to start (every time I substitute a number into the equation, I get three …

Jun 3, 2020 · constant polynomial Ask Question Asked 5 years, 6 months ago Modified 5 years, 6 months ago

Aug 11, 2013 · No constant polynomials are irreducible? What does it mean? Is it because constant polynomials are units?