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 7OE

To determine

The similar monomials among these monomials 6xy,−4xz,yz,4zx,−zxy,−xy,2yzx,xz2,2yx3 .

Expert Solution & Answer

Answer to Problem 7OE

(6xy,−xy,2yx3),(−4xz,4zx,xz2),(−zxy,2yzx) form the pair of similar polynomials.

Explanation of Solution

Given information: The given monomials are,

6xy,−4xz,yz,4zx,−zxy,−xy,2yzx,xz2,2yx3.... (1)

Calculation: The similar monomials are those which are identical in terms of variables but having different coefficients. Therefore from (1),

6xy,−xy,2yx3......(Similar)−4xz,4zx,xz2......(Similar)−zxy,2yzx......(Similar)

Chapter 4.1, Problem 6OE

Chapter 4.1, Problem 8OE

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

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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 similar monomials among these monomials 6 x y , − 4 x z , y z , 4 z x , − z x y , − x y , 2 y z x , x z 2 , 2 y x 3 .

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The similar monomials among these monomials 6xy,−4xz,yz,4zx,−zxy,−xy,2yzx,xz2,2yx3 .

Answer to Problem 7OE

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