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 - Review Exercises: Chapter 4: 51

Answer

$12x^3-23x^2+13x-2$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (4x^2-5x+1)(3x-2) ,$ is \begin{array}{l}\require{cancel} 4x^2(3x)+4x^2(-2)-5x(3x)-5x(-2)+1(3x)+1(-2) \\\\= 12x^3-8x^2-15x^2+10x+3x-2 \\\\= 12x^3+(-8x^2-15x^2)+(10x+3x)-2 \\\\= 12x^3-23x^2+13x-2 .\end{array}
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