Notes 8.3 – MULTIPLYING BINOMIALS

I. Using the Distributive Property

To simplify a of two binomials, you can

each term of the first binomial to each

term in the binomial.

PRODUCT

DISTRIBUTE

SECOND

Example: Simplify the expression: 2 3 3 5x x

52 3 2x x x 3 3 3 5x

26 10 9 15x x x

26 15x x

Example: Simplify the expression using a table: 4 4 7x x

24 16 7 28x x x

24 289x x

II. Using a Table

x 4

74x 24x 16x

7x 28

To multiply two binomials, you can also choose to use the

acronym . This means you can multiply the

terms of each binomial, plus the

terms of each binomial, plus the

terms of each binomial, plus the

terms of each binomial!

III. Using FOIL

FOILFIRST

OUTER

INNER

LAST

Example: FOIL 3 2 7 3x x

3 7x x 2 3 2 7x

221 9 14 6x x x 221 23 6x x

FIRST OUTER INNER LAST

221x

3 3x

9x 14x 6

Use the Distributive Property, a Table, or

multiplication to find the product.

First, arrange terms starting from the , so that

each term on the bottom is the same as the

term above it.

IV. Multiplying Trinomials and Binomials

VERTICAL

RIGHT

POWER

Example: Find the product using vertical multiplication.

8

22 3 4 3 2x x x 22 3 43 2

x xx

6x24x12x29x36x

3 26 13 18 8x x x

Homework :

Tonight: Section 8.3 page 516 #’s 6-20 even

Tomorrow: Section 8.3 pages 520-521 #’s 6-20 even