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 - Test: Chapter 4: 35

Answer

$6x^3-7x^2-11x-3$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (2x+1)(3x^2-5x-3) ,$ is \begin{array}{l}\require{cancel} 2x(3x^2)+2x(-5x)+2x(-3)+1(3x^2)+1(-5x)+1(-3) \\\\= 6x^3-10x^2-6x+3x^2-5x-3 \\\\= 6x^3+(-10x^2+3x^2)+(-6x-5x)-3 \\\\= 6x^3-7x^2-11x-3 .\end{array}
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