College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.3 - Polynomials - R.3 Exercises - Page 29: 51



Work Step by Step

Using the Distributive Property, the product of the given expression, $ (2z-1)(-z^2+3z-4) ,$ is \begin{array}{l}\require{cancel} 2z(-z^2)+2z(3z)+2z(-4)-1(-z^2)-1(3z)-1(-4) \\\\= -2z^3+6z^2-8z+z^2-3z+4 \\\\= -2z^3+(6z^2+z^2)+(-8z-3z)+4 \\\\= -2z^3+7z^2-11z+4 .\end{array}
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