Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set - Page 379: 29

Answer

$4x^{4}-3x^{3}+\frac{1}{2}x^{2}$

Work Step by Step

$\frac{1}{2}x^{2}(8x^{2}-6x+1)=(\frac{1}{2}x^{2})(8x^{2})+(\frac{1}{2}x^{2})(-6x)+(\frac{1}{2}x^{2})(1)=4x^{2+2}+(-3x^{2+1})+\frac{1}{2}x^{2}=4x^{4}+(-3x^{3})+\frac{1}{2}x^{2}=4x^{4}-3x^{3}+\frac{1}{2}x^{2}$
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