/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 102 Explain how to find the degree o... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 102

Explain how to find the degree of a polynomial in two variables.

Short Answer

Expert verified
To find the degree of a polynomial in two variables, each term in the polynomial is analyzed separately. The degree of each term is the sum of the exponents of the variables in that term, with constants being considered as having degree 0. The degree of the polynomial is then the highest degree among all the terms.

Step by step solution

01

Identify the terms of the polynomial

A polynomial is an algebraic expression composed of terms. A term in the polynomial may consist of numbers, variables, or numbers and variables multiplied together. In a polynomial with two variables, terms will have either the first variable, the second variable, both variables or just a constant.
02

Determine the degree of each term

For each term in the polynomial, add up the powers of the two variables in that term. Take the sum of the exponents of the two variables in each term, treat any terms without an explicit power as having power 1. For terms that are constants, the degree is considered to be 0.
03

Find the highest degree amongst all terms

Look at the degrees calculated from each of the terms and identify the highest degree among these. That will be considered the degree of the polynomial. If there are no variables in the polynomial, the degree is 0

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Exercises 132鈥�135, determine whether each statement makes sense or does not make sense, and explain your reasoning. If \(5^{-2}\) is raised to the third power, the result is a number between 0 and 1

Simplify by reducing the index of the radical. $$\sqrt[9]{x^{6}}$$

Simplify by reducing the index of the radical. $$\sqrt[12]{x^{4} y^{8}}$$

Explain the power rule for exponents. Use \(\left(3^{2}\right)^{4}\) in your explanation.

Read the Blitzer Bonus on page \(47 .\) The future is now: You have the opportunity to explore the cosmos in a starship traveling near the speed of light. The experience will enable you to understand the mysteries of the universe in deeply personal ways, transporting you to unimagined levels of knowing and being. The downside: You return from your two-year journey to a futuristic world in which friends and loved ones are long gone. Do you explore space or stay here on Earth? What are the reasons for your choice?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.