Polynomial of Least Degree - Mathematics Stack Exchange
2020年3月6日 · What is polynomial of the least degree? How is it different from a polynomial of any degree? Is it possible to give some examples? I came across this from the definition of …
Degree and Order of a polynomial - Mathematics Stack Exchange
2019年8月14日 · When a polynomial has more than one variable, we need to look at each term. Terms are separated by $+$ or $-$ signs. For each term: Find the degree by adding the …
algebra precalculus - How to solve polynomial of degree 4 ...
2017年4月17日 · 2 degree polynomial problem. 0. Polynomial raised to a polynomial. 1. How to find solutions to high degree ...
What is the degree of the zero polynomial and why is it so?
2016年5月23日 · Then the degree of, say, $3\sqrt{x}-x^{-3}$ is $1/2$. Of course, this inspires the definition of a "dual" degree, which is the infimum instead of the supremum. Then the degree …
General formula for solving quartic (degree $4$) equations
2010年7月28日 · Also of note, Wolfram sells a poster that discusses the solvability of polynomial equations, focusing particularly on techniques to solve a quintic (5th degree polynomial) …
The degree of a polynomial which also has negative exponents.
In theory, we define the degree of a polynomial as the highest exponent it holds. However when there are negative and positive exponents are present in the function, I want to know the basis …
abstract algebra - Is there a simple explanation why degree 5 ...
Historically, it was discovered when observing that polynomial equations of degree higher than 4 may not necessarily have a solution that could be expressed in algebraic expressions. It was …
algebra precalculus - How to factorize a 4th degree polynomial ...
Factorize a third degree polynomial. 3. Factorize reciprocal polynomial 4th-order. 1.
Polynomial of degree $n$ with more than $n$ zeros
2024年10月14日 · (A) Is this question asking me to show that such a polynomial is equal to $0$? (B) If the answer to (A) is yes, why would $0$ be the polynomial with this property? This …
Is there an algorithm to compute the degree of a polynomial?
2015年7月7日 · Since others already pointed out that evaluation at finitely many points isn't enough to determine the degree of a polynomial, I thought I would suggest a simple working …