/*! 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} Q. 8 In the following exercises, dete... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 8 (page 696)

In the following exercises, determine the degree of each polynomial.

鈸�62y2鈸�15鈸�6x2鈭�3xy+4x鈭�2y+y2鈸�10鈭�9x鈸�m4+4m3+6m2+4m+1

Short Answer

Expert verified

鈸�62y2degreeis2.鈸�15degreeis0.鈸�6x2鈭�3xy+4x鈭�2y+y2degreeis2.鈸�10鈭�9xdegreeis1.鈸�m4+4m3+6m2+4m+1degreeis4.

Step by step solution

01

Step 1. Give Information 

In the given exercises, we have to determine the degree of each polynomial.

鈸�62y2鈸�15鈸�6x2鈭�3xy+4x鈭�2y+y2鈸�10鈭�9x鈸�m4+4m3+6m2+4m+1

02

Part (a) Step 1. The polynomial is  62y2

The exponent of y is two. So the degree is 2.

03

Part (b) Step 1. The polynomial is 15

The degree of a constant is 0. So the degree is 0.

04

Part (c) Step 1. The polynomial is 6x2−3xy+4x−2y+y2

The highest degree of all the terms is 2. So the degree is 2.

05

Part (d) Step 1. The polynomial is 10−9x

The highest degree of all the terms is 1. So the degree is 1.

06

Part (e) Step 1. The polynomial is m4+4m3+6m2+4m+1

The highest degree of all the terms is 4. So the degree is 4.

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

Multiply the binomials. using (a) the Distributive Property (b) the Vertical Method.

(u+4)(u2+3u+2)

In the following exercises, multiply

-4z23z2+12z-1

In the following exercises, multiply the binomials. Use any method.

(6p+5)(p+1)

Multiply. Use either method.

(p鈭�4)(p2鈭�6p+9)

Simplify the polynomial.

x2-4x-34-x2+7x-6
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

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.