Tool to find the degree (or order) of a polynomial, that is, the greatest power of the polynomial's variable.
Polynomial Degree - dCode
Tag(s) : Functions
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Polynomial Degree
Degree of a Polynomial Finder
Answers to Questions (FAQ)
What is the degree of a polynomial? (Definition)
The degree of a polynomial is the greatest power (exponent) associated with the polynomial variable. The degree is also called the order of the polynomial.
Example: The trinomial $ x^2 + x + 1 $ of variable $ x $ has for greatest exponent $ x^2 $ that is $ 2 $, therefore the polynomial is of degree $ 2 $ (or the polynomial is of the second degree, where the polynomial is of order $ 2 $)
The degree is sometimes noted $ \deg $
How to calculate the degree of a polynomial?
To find the degree of a polynomial, it is necessary to have the polynomial written in expanded form.
Example: $ P(x) = (x+1)^3 $ expands $ x^3 + 3x^2 + 3x + 1 $
Browse all the elements of the polynomial in order to find the maximum exponent associated with the variable, this maximum is the degree of the polynomial.
How to calculate the degree of a polynomial with a variable degree?
The degree of a polynomial having a variable degree remains the maximum value of the exponents of the elements of the polynomial.
Example: $ x^n+x^2+1 $ has for degree $ \max (n,2) $, which therefore depends on the value of $ n $, the degree will be $ n $ if $ n > 2 $ otherwise $ 2 $.
How to calculate the degree of a multivariable polynomial?
The degree of a polynomial is dependent on the associated variable. If there are several variables, calculate the degree of the polynomial for each variable.
What is the degree of the polynomial x
The polynomial $ x $ (also called monomial) has for degree $ 1 $ because $ x = x^1 $
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