Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set - Page 281: 108

Answer

$12z^{5x}+13z^{2x}-2z$

Work Step by Step

We are given $(14z^{5x}+3z^{2x}+z)-(2z^{5x}-10z^{2x}+3z)$. We can subtract the second polynomial from the first polynomial by adding the opposite of the second polynomial to the first polynomial. $(14z^{5x}+3z^{2x}+z)+(-2z^{5x}+10z^{2x}-3z)$ Next, we can combine like terms to simplify. $(14z^{5x}-2z^{5x})+(3z^{2x}+10z^{2x})+(z-3z)=12z^{5x}+13z^{2x}-2z$
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