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 - 4.5 Multiplication of Polynomials - 4.5 Exercise Set: 66

Answer

$-2x^3-6x^2-x-3$

Work Step by Step

The given expression, $ (4x-5x-3)(1+2x^2) ,$ is equivalent to \begin{array}{l}\require{cancel} (-x-3)(1+2x^2) .\end{array} Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of 2 binomials, the expression above is equivalent to \begin{array}{l}\require{cancel} -x(1)-x(2x^2)-3(1)-3(2x^2) \\\\= -x-2x^3-3-6x^2 \\\\= -2x^3-6x^2-x-3 .\end{array}
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