Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.3 Polynomials - R.3 Exercises: 96

Answer

$$z^{4}-9z^{3}+12z^{2}+8z$$

Work Step by Step

Initial Equation: $-z^{3}(9-z)+4z(2+3z)$ Distribute the $-z^{3}$ and $4z$ to their respective sets of parenthesis: $$-9z^{3}+z^{4}+8z+12z^{2}$$ Then combine like terms to simplify to get final answer: $$z^{4}-9z^{3}+12z^{2}+8z$$ (There are no like terms in this problem so simply rearrange in order from highest exponent to lowest)
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