Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Question

Chapter 4.1, Problem 2WE

To determine

The degree of the polynomial x3−4x+7x2+3+2x by arranging terms in order of decreasing degree of (x) and simplify.

Expert Solution & Answer

Answer to Problem 2WE

The degree of the polynomial is 3.

Explanation of Solution

Given information: The given polynomial is,

x3−4x+7x2+3+2x.... (1)

Calculation: The polynomial (1) can be written as,

x3−4x+7x2+3+2x=(x3)+(7x2)+(−4x+2x)+(3)=x3+7x2−2x+3......(Simplified)

Now the terms of the polynomial (1) have degrees 3, 2, 1 and 0 respectively. Therefore the degree of the polynomial is 3.

Chapter 4.1, Problem 1WE

Chapter 4.1, Problem 3WE

Chapter 4 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 4.1 - Prob. 1OE Ch. 4.1 - Prob. 2OE Ch. 4.1 - Prob. 3OE Ch. 4.1 - Prob. 4OE Ch. 4.1 - Prob. 5OE Ch. 4.1 - Prob. 6OE Ch. 4.1 - Prob. 7OE Ch. 4.1 - Prob. 8OE Ch. 4.1 - Prob. 9OE Ch. 4.1 - Prob. 10OE

Ch. 4.1 - Prob. 11OE Ch. 4.1 - Prob. 12OE Ch. 4.1 - Prob. 13OE Ch. 4.1 - Prob. 14OE Ch. 4.1 - Prob. 15OE Ch. 4.1 - Prob. 16OE Ch. 4.1 - Prob. 17OE Ch. 4.1 - Prob. 18OE Ch. 4.1 - Prob. 1WE Ch. 4.1 - Prob. 2WE Ch. 4.1 - Prob. 3WE Ch. 4.1 - Prob. 4WE Ch. 4.1 - Prob. 5WE Ch. 4.1 - Prob. 6WE Ch. 4.1 - Prob. 7WE Ch. 4.1 - Prob. 8WE Ch. 4.1 - Prob. 9WE Ch. 4.1 - Prob. 10WE Ch. 4.1 - Prob. 11WE Ch. 4.1 - Prob. 12WE Ch. 4.1 - Prob. 13WE Ch. 4.1 - Prob. 14WE Ch. 4.1 - Prob. 15WE Ch. 4.1 - Prob. 16WE Ch. 4.1 - Prob. 17WE Ch. 4.1 - Prob. 18WE Ch. 4.1 - Prob. 19WE Ch. 4.1 - Prob. 20WE Ch. 4.1 - Prob. 21WE Ch. 4.1 - Prob. 22WE Ch. 4.1 - Prob. 23WE Ch. 4.1 - Prob. 24WE Ch. 4.1 - Prob. 25WE Ch. 4.1 - Prob. 26WE Ch. 4.1 - Prob. 27WE Ch. 4.1 - Prob. 1MRE Ch. 4.1 - Prob. 2MRE Ch. 4.1 - Prob. 3MRE Ch. 4.1 - Prob. 4MRE Ch. 4.1 - Prob. 5MRE Ch. 4.1 - Prob. 6MRE Ch. 4.1 - Prob. 7MRE Ch. 4.1 - Prob. 8MRE Ch. 4.1 - Prob. 9MRE Ch. 4.2 - Prob. 1OE Ch. 4.2 - Prob. 2OE Ch. 4.2 - Prob. 3OE Ch. 4.2 - Prob. 4OE Ch. 4.2 - 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Quick Revision of Polynomials | Tricks to Solve Polynomials in Algebra | Maths Tricks | Letstute; Author: Let'stute;https://www.youtube.com/watch?v=YmDnGcol-gs;License: Standard YouTube License, CC-BY

Introduction to Polynomials; Author: Professor Dave Explains;https://www.youtube.com/watch?v=nPPNgin7W7Y;License: Standard Youtube License

The degree of the polynomial x 3 − 4 x + 7 x 2 + 3 + 2 x by arranging terms in order of decreasing degree of ( x ) and simplify.

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The degree of the polynomial x3−4x+7x2+3+2x by arranging terms in order of decreasing degree of (x) and simplify.

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