Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 207: 32

5$a^{3}$ + 7$a^{2}$ - 13a - 6

(5a + 2)($a^{2}$ + a - 3) = Use the distributive property. 5a($a^{2}$) +5a(a) +5a(-3) +2($a^{2}$) +2(a) +2(-3) = 5$a^{3}$ + 5$a^{2}$ - 15a + 2$a^{2}$ + 2a - 6 = Simplify. 5$a^{3}$ + 7$a^{2}$ - 13a - 6