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: 46

Answer

$x^{3}+8x^{2}+7x-24$

Work Step by Step

$(x+3)(x^{2}+5x-8)=x(x^{2}+5x-8)+3(x^{2}+5x-8)=(x)(x^{2})+(x)(5x)+(x)(-8)+(3)(x^{2})+(3)(5x)+(3)(-8)=x^{3}+5x^{2}-8x+3x^{2}+15x-24=x^{3}+8x^{2}+7x-24$
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