Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Exercise Set - Page 325: 44



Work Step by Step

Consider the given polynomial $(12y^5+7y^4-3y^2+6y+7)-(-10y^5-8y^3+3y^2+14)$ Need to drop the parentheses and will have to change the sign of each term of the second polynomial because of the presence of the negative outside. Thus, $(12y^5+7y^4-3y^2+6y+7)-(-10y^5-8y^3+3y^2+14)=12y^5+7y^4-3y^2+6y+7+10y^5+8y^3-3y^2-14$ or, $=12y^5+7y^4-3y^2+10y^5+8y^3-3y^2+6y+7-14$ or, $=22y^5+7y^4+8y^3-6y^2+6y-7$
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