Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 64

Answer

$20x^5+24x^3-25x^2-30$

Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the expression, $ (4x^3-5)(5x^2+6) $, is equivalent to \begin{array}{l} 4x^3(5x^2)+4x^3(6)-5(5x^2)-5(6) \\\\= 20x^{3+2}+24x^3-25x^2-30 \\\\= 20x^5+24x^3-25x^2-30 .\end{array}
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