Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Cumulative Review Exercises - Page 417: 18

Answer

$$3x^5 - 6x^3 + 9x + 2$$

Work Step by Step

Subtracting a polynomial means that you are adding the opposite of that polynomial. We can now rewrite the expression: $$9x^5 - 3x^2 + 2x - 7 - 6x^5 - 3x^3 + 7x + 9$$ We can now group like terms together: $$(9x^5 - 6x^5) + (- 3x^3 - 3x^3) + (2x + 7x) +(- 7 + 9)$$ Combine like terms: $$3x^5 - 6x^3 + 9x + 2$$
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