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: 55



Work Step by Step

Consider the given polynomial $(4x^3+3x^2-1)-(x^4-2x^2+7x-3)$ Need to drop the parentheses. Thus, $(4x^3+3x^2-1)-(x^4-2x^2+7x-3)=4x^3+3x^2-1-x^4+2x^2-7x+3$ or, $=4x^3-x^4+3x^2+2x^2-7x+3$ or, $=-x^4+4x^3+5x^2+2-7x$ Need to add $(6x^4-5x^3+2x)$ to the result obtained after subtracting. Thus, $=-x^4+4x^3+5x^2+2-7x+6x^4-5x^3+2x$ $=5x^4-x^3+5x^2-5x+2$
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