Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - Chapter 5 Review Problem Set: 28

Answer

$2x^3+17x^2+26x-24$

Work Step by Step

RECALL: The distributive property states that for any real numbers a, b, and c: $a(b+c) = ab+ac \\AND \\a(b-c) = ab-ac$ Use the distributive property (which is shown above) to obtain: $=x(2x^2+5x-4)+6(2x^2+5x-4) \\=2x^3+5x^2-4x + 12x^2+30x-24$ Combine like terms to obtain: $=2x^3+(5x^2+12x^2)+(-4x+30x)-24 \\=2x^3+17x^2+26x-24$
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