1. Multiplying Polynomials
CCM and 3

2. Distributive Property
Process similar to that used with numbers in grade school. Multiply the term outside the parenthesis with each term inside the parenthesis.
Example: Multiply
Distributed the “7x”
Simplified each term

3. More than one set of parenthesis
Treat one polynomial in parenthesis as a single object.
Distribute that object to each term of the other polynomial
Then distribute these terms into the original polynomial
Combine any like terms that result
Example: (x2 + 6x + 8)(3x + 2) Treat x2 + 6x + 8 as one item
(x2 + 6x + 8) ∙ 3x + (x2 + 6x + 8) ∙ 2 Distributed it to each term of 3x + 2
3x3 + 18x2 + 24x + 2x2 + 12x +16 Distributed the terms into x2 + 6x + 8
3x3 + 20x2 + 36x Combined like terms∙

4. Multiplying Binomials (FOIL)
First – Outside – Inside – Last
Combine like terms
Example: (6x + 8)(3x + 2)
First Outside Inside Last
(6x)(3x) + (6x)(2) + (8)(3x) + (8)(2)
18x x x
18x2 + 36x + 16

5. Vertical Method
Stack the polynomials (best if the short one is on the bottom)
Multiply similar to how you do numbers
x2 + 6x + 8
3x + 2
2x2 + 12x + 16
+ 3x3 + 18x2 + 24x
3x3 + 20x2 + 36x + 16

6. Summary Distributive Property Handling multiple sets of parenthesis
FOIL
Vertical Multiplication
Thank You