Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - Chapters 1-5 Cumulative Review Problem Set: 26

Answer

$2x^{3}-3x^{2}-13x+20$

Work Step by Step

To find the product of $(2x-5)$ and $(x^{2}+x-4)$, we need to use the distributive property in which each term of the first polynomial is multiplied to each term of the second polynomial. Then, we simplify the resultant expression: $(2x-5)(x^{2}+x-4)$ =$2x(x^{2}+x-4)-5(x^{2}+x-4)$ =$2x^{3}+2x^{2}-8x-5x^{2}-5x+20$ =$2x^{3}+2x^{2}-5x^{2}-5x-8x+20$ =$2x^{3}-3x^{2}-13x+20$
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