Question

Find the degree of each polynomial. $$8 x^{3} y^{2}$$

   Find the degree of each polynomial.
$$8 x^{3} y^{2}$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 13, Problem 9

Instant Answer

Solved by Expert Patrick Burns

05/19/2020

Step 1

In this case, the variables are $x$ and $y$, and their exponents are $3$ and $2$ respectively. Show more…

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Find the degree of each polynomial. $$8 x^{3} y^{2}$$

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Key Concepts

Degree of a Polynomial

The degree of a polynomial is defined as the highest sum of the exponents of the variables in any single term when the polynomial is written in its standard form. In multivariable polynomials, this involves adding the exponents in each term to determine the term's degree and then identifying the largest among them.

Polynomial

A polynomial is an algebraic expression made up of variables, coefficients, and the operations of addition, subtraction, and multiplication, where the exponents of the variables are non-negative integers. Polynomials can have one or more terms and are a basic object of study in algebra.

Monomial

A monomial is a single-term polynomial that consists of a constant coefficient multiplied by one or more variables raised to whole-number exponents. The degree of a monomial is calculated by adding together the exponents of all the variables present in the term.

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