Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Mid-Chapter Check Point: 5

Answer

$2x^3-11x^2+17x-5$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (2x-5)(x^2-3x+1) ,$ is \begin{array}{l}\require{cancel} 2x(x^2)+2x(-3x)+2x(1)-5(x^2)-5(-3x)-5(1) \\\\= 2x^3-6x^2+2x-5x^2+15x-5 \\\\= 2x^3+(-6x^2-5x^2)+(2x+15x)-5 \\\\= 2x^3-11x^2+17x-5 .\end{array}
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