Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3: 25

Answer

$x^{3}$ + 3$x^{2}$ - 10x - 24

Work Step by Step

(x + 4)($x^{2}$ - x - 6) = Use the distributive property. x($x^{2}$) + x(-x) + x(-6) + 4($x^{2}$) + 4(-x) + 4(-6) = $x^{3}$ - $x^{2}$ - 6x + 4$x^{2}$ - 4x - 24 = Simplify. $x^{3}$ + 3$x^{2}$ - 10x - 24
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