Question

Find the degree of each polynomial. $$x y z^{2}$$

   Find the degree of each polynomial.
$$x y z^{2}$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 13, Problem 22

Instant Answer

Solved by Expert Patrick Burns

05/19/2020

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In this case, the variables are $x$, $y$, and $z$. Show more…

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Find the degree of each polynomial. $$x y z^{2}$$

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Key Concepts

Polynomial

A polynomial is an algebraic expression consisting of variables, coefficients, and nonnegative integer exponents combined using addition, subtraction, and multiplication. It can have one or more terms and its structure is fundamental to many areas of mathematics.

Monomial

A monomial is a type of polynomial that contains only one term. Since there is only one term involved, its structure simplifies the process of determining properties like degree.

Degree of a Polynomial

The degree of a polynomial is defined as the highest total degree of its individual terms. In a multivariate polynomial, the total degree of a term is calculated by adding the exponents of the variables present in that term.

Total Degree in Multivariate Monomials

For monomials or terms involving more than one variable, the total degree is the sum of the exponents on all the variables. This sum indicates the overall power of the term and is used to compare and classify polynomials by their degree.

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