Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.4 Addition and Subtraction of Polynomials - 4.4 Exercise Set - Page 260: 56



Work Step by Step

We subtract polynomials by distributing the negative and then combining like terms. Like terms must (1) be raised to the same power and (2) consist of the same variable (i.e. x and y are not like terms). It is also important to note that numbers are all like terms with each other when not multiplied by anything. Thus, combining like terms, we obtain: $$5x^4+6x^3-9x^2-\left(-6x^4+x^2\right) \\ 5x^4+6x^3-9x^2+6x^4-x^2 \\ 11x^4+6x^3-10x^2$$
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