8.3

Multiplying Polynomials

Quadratic Expressions

• The result of multiplying two linear expressions

Example 1: Find the Product!a) (z – 6)(z – 12) b) (5x – 4)(2x + 8)

c) (3x + 5)(2x – 6)

You Try!1. (x – 2)(x + 4) 2. (2x + 1)(x + 5)

3. (x + 3)(x – 3)

Example 2The area of a rectangle is the measure of the base times the height. Write an expression for the area of the rectangle.

Example 3

The area A of the triangle is one half the height h times the base b. Write an expression for the area of the patio.

Example 4

• Sometimes we multiply trinomials together or binomials with trinomials.

Continue to use the box method!!!

a) (3a + 4)(a2 – 12a + 1) b) (2b2 + 7b + 9)(b2 + 3b – 1)

EXIT SLIP

• Multiply (3z + 2)(4z2 + 3z + 5).