Exercise 106 Page 344

a Let's apply the Distributive Propery and the Product Rule of Exponents to multiply the factors.

(2 x + 1) (3 x - 2)

2 x \cdot 3 x - 4 x + 3 x - 2

$a^{m} \cdot a^{n} = a^{m + n}$

6 x^{2} - 4 x + 3 x - 2

Add terms

6 x^{2} - x - 2

b As in the previous part, we need to apply the Distributive Property and the Product Rule of Exponents.

(2 x + 1) (3 x^{2} - 2 x - 5)

2 x \cdot 3 x^{2} - 2 x \cdot 2 x - 10 x + 3 x^{2} - 2 x - 5

$a^{m} \cdot a^{n} = a^{m + n}$

6 x^{3} - 4 x^{2} - 10 x + 3 x^{2} - 2 x - 5

Add terms

6 x^{3} - x^{2} - 12 x - 5

6.3.1 Solving Systems Using Elimination p.337-338

6.3.2 More Elimination p.341

6.3.3 Making Connections: Systems, Solutions, and Graphs p.344-346