1. Multiplying Binomials
Chapter 5
Section 5.4

2. Objective
Students will find the product of two binomials and write this product as a trinomial.

3. Vocabulary
Trinomial (3 terms) Binomial (2 terms) FOIL Quadratic term Linear term Quadratic polynomial

4. Concept
Each term of a trinomial like 6x2 + 7x – 20 has a standard name. A quadratic term is a term of degree two. A linear term is a term of degree one. A constant term is one having no variable. The trinomial itself is called a quadratic polynomial since its term of greatest degree is quadratic. 6x2 7x -20

5. Concept
The following example shows how the distributive property, (a + b)c = ac + bc, is used to multiply (x + 5) and (x – 4). Notice how the three terms of the product are formed.

6. Write the product (x + 5)(x – 4) as a trinomial
Example
Write the product (x + 5)(x – 4) as a trinomial

7. Concept
FOIL method 1. Multiply the first terms of the binomials 2. Multiply the outer terms of the binomials 3. Multiply the inner terms of the binomials 4. Multiply the last terms of the binomials Make sure if there are like terms you combine them together

8. Example
(x + 2)(x + 5)

9. Example
(3x – 1)(3x + 2)

10. Example
(3x – 4y)(3x – 4y)

11. Example
(6x2 – 2y)(3x2 – y)

12. Questions

13. Assignment
Worksheet