Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 4.6, Problem 40WE

To determine

To find: the factor of the polynomial 81uv3+3u4 and verify whether it is prime or not.

Expert Solution & Answer

Answer to Problem 40WE

3u(3v+u)(9v2−3uv+u2)

Explanation of Solution

Given information:

Given the polynomial 81uv3+3u4 .

Calculation:

A non-constant polynomial is prime when it is not reducible or cannot be expressed as reducible polynomials.

We can express as,

81uv3+3u4=3u(27v3+u3)=3u[(3v)3+u3]=3u(3v+u)(9v2−3uv+u2)

Chapter 4.6, Problem 39WE

Chapter 4.6, Problem 41WE

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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Prob. 8MRE Ch. 4.3 - Prob. 9MRE Ch. 4.3 - Prob. 10MRE Ch. 4.3 - Prob. 1ST Ch. 4.3 - Prob. 2ST Ch. 4.3 - Prob. 3ST Ch. 4.3 - Prob. 4ST Ch. 4.3 - Prob. 5ST Ch. 4.3 - Prob. 6ST Ch. 4.3 - Prob. 7ST Ch. 4.3 - Prob. 8ST Ch. 4.3 - Prob. 1E Ch. 4.3 - Prob. 2E Ch. 4.3 - Prob. 3E Ch. 4.3 - Prob. 4E Ch. 4.3 - Prob. 5E Ch. 4.3 - Prob. 6E Ch. 4.3 - Prob. 7E Ch. 4.3 - Prob. 8E Ch. 4.3 - Prob. 9E Ch. 4.3 - Prob. 10E Ch. 4.3 - Prob. 11E Ch. 4.3 - Prob. 12E Ch. 4.4 - Prob. 1OE Ch. 4.4 - Prob. 2OE Ch. 4.4 - Prob. 3OE Ch. 4.4 - Prob. 4OE Ch. 4.4 - Prob. 5OE Ch. 4.4 - Prob. 6OE Ch. 4.4 - Prob. 7OE Ch. 4.4 - Prob. 8OE Ch. 4.4 - Prob. 9OE Ch. 4.4 - Prob. 10OE Ch. 4.4 - Prob. 11OE Ch. 4.4 - Prob. 12OE Ch. 4.4 - Prob. 13OE Ch. 4.4 - Prob. 14OE Ch. 4.4 - Prob. 15OE Ch. 4.4 - Prob. 16OE Ch. 4.4 - Prob. 17OE Ch. 4.4 - Prob. 18OE Ch. 4.4 - Prob. 19OE Ch. 4.4 - Prob. 20OE Ch. 4.4 - Prob. 21OE Ch. 4.4 - Prob. 22OE Ch. 4.4 - Prob. 23OE Ch. 4.4 - Prob. 24OE Ch. 4.4 - Prob. 1WE Ch. 4.4 - Prob. 2WE Ch. 4.4 - Prob. 3WE Ch. 4.4 - 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Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve); Author: Eddie Woo;https://www.youtube.com/watch?v=EnfhYp4o20w;License: Standard YouTube License, CC-BY

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 factor of the polynomial 81 u v 3 + 3 u 4 and verify whether it is prime or not.

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To find: the factor of the polynomial 81uv3+3u4 and verify whether it is prime or not.

Answer to Problem 40WE

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