polynomialDegree

Degree of polynomial

Syntax

polynomialDegree(p)

polynomialDegree(p,vars)

Description

polynomialDegree(p) returns the degree of polynomial p with respect to all variables found in p by symvar.

polynomialDegree(p,vars) returns the degree of p with respect to the variables in vars.

Examples

Degree of Polynomial

Find the degree of the polynomial x^3 + x + 1.

syms x
p = x^3 + x + 1;
deg = polynomialDegree(p)

deg =
     3

Degree of Multivariate Polynomial with Respect to Variable

Specify variables as the second argument of polynomialDegree. Find the degree of the polynomial a^2*x^3 + b^6*x with the default independent variables found by symvar, the variable x, and the variables [a x].

When using the default variables, the degree is 7 because, by default, a and b are variables. So the total degree of b^6*x is 7.

syms a b x
p = a^2*x^3 + b^6*x;
deg = polynomialDegree(p)    % uses symvar

deg =
     7

deg = polynomialDegree(p,x)

deg =
     3

vars = [a x];
deg = polynomialDegree(p,vars)

deg =
     5

Input Arguments

p — Polynomial

symbolic expression | symbolic function

Polynomial, specified as a symbolic expression or function.

vars — Polynomial variables

vector of symbolic variables

Polynomial variables, specified as a vector of symbolic variables.

Version History

Introduced in R2018a