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 4WE

To determine

The degree of the polynomial 2x3−7+5x2−x3+3x−x3 by arranging terms in order of decreasing degree of (x) and simplify.

Expert Solution & Answer

Answer to Problem 4WE

The degree of the polynomial is 2.

Explanation of Solution

Given information: The given polynomial is,

2x3−7+5x2−x3+3x−x3.... (1)

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

2x3−7+5x2−x3+3x−x3=(2x3−x3−x3)+(5x2)+(3x)−(7)=(0)+5x2+3x−7......(Simplified)=5x2+3x−7

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

Chapter 4.1, Problem 3WE

Chapter 4.1, Problem 5WE

Chapter 4 Solutions

Algebra and Trigonometry: Structure and Method, Book 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 2 x 3 − 7 + 5 x 2 − x 3 + 3 x − x 3 by arranging terms in order of decreasing degree of ( x ) and simplify.

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The degree of the polynomial 2x3−7+5x2−x3+3x−x3 by arranging terms in order of decreasing degree of (x) and simplify.

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