## Elementary Algebra

Published by Cengage Learning

# Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 207: 30

#### Answer

6$a^{3}$ - 13$a^{2}$ - 9a + 10

#### Work Step by Step

(3a - 2)(2$a^{2}$ - 3a - 5) = Use the distributive property. 3a(2$a^{2}$) +3a(-3a) +3a(-5) -2(2$a^{2}$) -2(-3a) -2(-5) = 6$a^{3}$ - 9$a^{2}$ - 15a - 4$a^{2}$ + 6a + 10 = Simplify. 6$a^{3}$ - 13$a^{2}$ - 9a + 10

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