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: 52



Work Step by Step

Using the Distributive Property, the product of the given expression, $ (3w+2)(-w^2+4w-3) ,$ is \begin{array}{l}\require{cancel} 3w(-w^2)+3w(4w)+3w(-3)+2(-w^2)+2(4w)+2(-3) \\\\= -3w^3+12w^2-9w-2w^2+8w-6 \\\\= -3w^3+(12w^2-2w^2)+(-9w+8w)-6 \\\\= -3w^3+10w^2-w-6 .\end{array}
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