a. Answer The addition of the polynomials is − 2 w 2 . Explanation Given information: The given polynomials are w 3 − w 2 + w − 1 and 1 − w − w 2 − w 3 . Calculation: Add the polynomial w 3 − w 2 + w − 1 to 1 − w − w 2 − w 3 . ( w 3 − w 2 + w − 1 ) + ( 1 − w − w 2 − w 3 ) = ( w 3 − w 3 ) + ( − w 2 − w 2 ) + ( w − w ) + ( − 1 + 1 ) = ( 0 ) − 2 w 2 + ( 0 ) + ( 0 ) = − 2 w 2 b. To determine Subtract the polynomial 1 − w − w 2 − w 3 from w 3 − w 2 + w − 1 . Answer The subtraction of polynomial 1 − w − w 2 − w 3 from w 3 − w 2 + w − 1 is 2 w 3 + 2 w − 2 . Explanation Given information: The given polynomials are w 3 − w 2 + w − 1 and 1 − w − w 2 − w 3 . Calculation: Subtract the polynomial 1 − w − w 2 − w 3 from w 3 − w 2 + w − 1 . ( w 3 − w 2 + w − 1 ) − ( 1 − w − w 2 − w 3 ) = ( w 3 + w 3 ) + ( − w 2 + w 2 ) + ( w + w ) + ( − 1 − 1 ) = 2 w 3 + ( 0 ) + 2 w − 2 = 2 w 3 + 2 w − 2

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 4.1, Problem 14WE

To determine

Add the polynomial w3−w2+w−1 to the polynomial 1−w−w2−w3 .

Expert Solution

Answer to Problem 14WE

The addition of the polynomials is −2w2 .

Explanation of Solution

Given information: The given polynomials are w3−w2+w−1 and 1−w−w2−w3 .

Calculation: Add the polynomial w3−w2+w−1 to 1−w−w2−w3 .

(w3−w2+w−1)+(1−w−w2−w3)=(w3−w3)+(−w2−w2)+(w−w)+(−1+1)=(0)−2w2+(0)+(0)=−2w2

To determine

Subtract the polynomial 1−w−w2−w3 from w3−w2+w−1 .

Expert Solution

Answer to Problem 14WE

The subtraction of polynomial 1−w−w2−w3 from w3−w2+w−1 is 2w3+2w−2 .

Explanation of Solution

Given information: The given polynomials are w3−w2+w−1 and 1−w−w2−w3 .

Calculation: Subtract the polynomial 1−w−w2−w3 from w3−w2+w−1 .

(w3−w2+w−1)−(1−w−w2−w3)=(w3+w3)+(−w2+w2)+(w+w)+(−1−1)=2w3+(0)+2w−2=2w3+2w−2

Chapter 4.1, Problem 13WE

Chapter 4.1, Problem 15WE

Chapter 4 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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Interpolation | Lecture 43 | Numerical Methods for Engineers; Author: Jffrey Chasnov;https://www.youtube.com/watch?v=RpxoN9-i7Jc;License: Standard YouTube License, CC-BY

Add the polynomial w 3 − w 2 + w − 1 to the polynomial 1 − w − w 2 − w 3 .

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Add the polynomial w3−w2+w−1 to the polynomial 1−w−w2−w3 .

Answer to Problem 14WE

Explanation of Solution

Subtract the polynomial 1−w−w2−w3 from w3−w2+w−1 .

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Explanation of Solution

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