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 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set - Page 311: 73

Answer

$(2x^3+3)(2x^2+3)$

Work Step by Step

The given expression, $ 4x^5+6x^2+6x^3+9 ,$ simplifies to \begin{array}{l}\require{cancel} (4x^5+6x^2)+(6x^3+9) \\\\= 2x^2(2x^3+3)+3(2x^3+3) \\\\= (2x^3+3)(2x^2+3) .\end{array}
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