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: 29

Answer

8$a^{3}$ - 14$a^{2}$ + 23a - 9

Work Step by Step

(2a - 1)(4$a^{2}$ - 5a + 9) = Use the distributive property. 2a(4$a^{2}$) +2a(-5a) +2a(9) -1(4$a^{2}$) -1(-5a) -1(9) = 8$a^{3}$ -10$a^{2}$ +18a -4$a^{2}$ +5a -9 = Simplify. 8$a^{3}$ - 14$a^{2}$ + 23a - 9
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