/*! 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 108 What is a monomial? Give an exam... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 108

What is a monomial? Give an example with your explanation.

Short Answer

Expert verified
A monomial is an algebraic expression consisting of one term, which can be made up of a product of numbers and variables raised to non-negative integer exponent. An example would be \(7x^3\).

Step by step solution

01

Definition

A monomial is a term in mathematics that refers to an algebraic expression involving only one term. That one term can be made up of product of numbers (coefficients) and variables raised to non-negative integer exponent.
02

Constituents of a monomial

A monomial is composed of three parts: The coefficient (the numerical part or factor), the variable (the letter part), and the exponent (which refers to the power to which the variable is raised, if any).
03

Example

An example of a monomial would be \(7x^3\), where 7 is the coefficient, x is the variable and the 3 is the exponent.

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

Explain how to multiply polynomials when neither is a monomial. Give an example.

Explain how to divide a polynomial that is not a monomial by a monomial. Give an example.

Express \(\frac{7}{8}\) as a decimal. (Section \(1.3,\) Example 4 )

Graph \(3 x-2 y=6\) using intercepts. (Section 3.2 Example 4 )

In Exercises \(85-86,\) the variable \(n\) in each exponent represents a natural Number. Divide the polynomial by the monomial. Then use polynomial multiplication to check the quotient. $$\frac{12 x^{15 n}-24 x^{12 n}+8 x^{3 n}}{4 x^{3 n}}$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

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.