Chapter 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set - Page 269: 61

$2a^3-a^2-11a+10$

Using the Distributive Property, the product of the given expression, $ (2a+5)(a^2-3a+2) ,$ is \begin{array}{l}\require{cancel} 2a(a^2)+2a(-3a)+2a(2)+5(a^2)+5(-3a)+5(2) \\\\= 2a^3-6a^2+4a+5a^2-15a+10 \\\\= 2a^3+(-6a^2+5a^2)+(4a-15a)+10 \\\\= 2a^3-a^2-11a+10 .\end{array}