Multiplying Binomials

1. Multiplying Binomials

2. We learned to multiply a monomial and a polynomial:

3. Try these two on your own:

4. Multiplying Binomials • Now, we will learn how to multiply two binomials together. • A Binomial is a polynomial with two terms:

5. Multiplying Binomials • To multiply two binomials, we multiply each term in the first binomial with each term in the second binomial. • We can use a table to help keep the multiplication organized.

6. Using the Table

7. Using the Table • Draw a 2 by 2 grid • Label the rows with the first binomial: one term to the left of each row • Label the columns with the second binomial: one term above each column • Multiply across the rows and columns to fill in the table • Write the result as the product of the binomials • Combine like terms

8. Using the Table

9. Using the Table on your own

10. Extra Examples

11. Homework • Multiplying Binomials: Table Method, Worksheet 1

12. Variations on multiplying • There may be other variables • There may be higher powers • There may be no like terms to combine • You will need to put the answer in standard form

13. Using the Table

14. Using the Table on your own

15. Extra Examples

16. Homework • Multiplying Binomials: Table Method, Worksheet 2