/*! 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} Q27. Determine whether each expressio... [FREE SOLUTION] | 魅影直播

魅影直播

Log out

Learning Materials

Features

Discover

Chapter 7: Q27. (page 430)

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

3b2

Short Answer

Expert verified

The given expression3b2 is a polynomial. The given polynomial3b2 is a monomial.

Step by step solution

01

Step 1. Write the definition of the polynomial.

A monomial is a number, a variable or the product of a number and one or more variables with non-negative integer exponents. The monomial has only one term.

A polynomial is a monomial or the sum of monomials, each called a term of the polynomial.

The polynomial having only one term is called a monomial.

The polynomial having two terms is called a binomial. That is binomial is sum of two monomials.

The polynomial having three terms is called a trinomial. That is trinomial is sum of three monomials.

02

Step 2. Determine whether each expression is a polynomial.

The given expression is3b2.

It can be noticed that the term of the given expression is the product of a number and one variable with non-negative integer exponents.

Therefore, the term of the given expression is a monomial.

As, the given expression is the monomial. Therefore, the given expression is a polynomial.

03

Step 3. Identify the polynomial as a monomial, binomial, or trinomial.

The given expression is a polynomial having only one term.

Therefore, the given polynomial 3b2is a monomial.

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 魅影直播!

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

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

15

Express the volume of the solid as a monomial.

Express each number in scientific notation.

0.00021

Write each expression using exponents.

4鈰�4鈰�4鈰�4鈰�4

Write an expression to represent the area of the shaded region.

Find the area of the rectangle.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

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.