1. 8-2 Multiplying Polynomials
Goal:
Multiply two Polynomials together Using the distributive Property
Eligible Content: A

2. You ADD the exponents! Vocabulary
Distributive Property – multiplying the term outside the parentheses by every term inside the parentheses.
When you multiply variables together:
You ADD the exponents!

3. Monomial times Polynomial

4. Examples

5. Find 3x(2x2 + 3x + 5).
A. 6x2 + 9x + 15
B. 6x3 + 9x2 + 15x
C. 5x3 + 6x2 + 8x
D. 6x2 + 3x + 5

6. Binomial times Polynomial
Distribute each term of the binomial.

7. Vocabulary
Box Method – a method used to multiply polynomials.

8. The Box Method

9. Examples

10. Find (3z + 2)(4z2 + 3z + 5).
A. 12z3 + 9z2 + 15z
B. 8z2 + 6z + 10
C. 12z3 + z2 + 9z + 10
D. 12z3 + 17z2 + 21z + 10

11. Practice
Worksheet – “8-2 Multiplying Polynomials”

12. Simplifying Expressions
2p(-4p2 + 5p) – 5(2p2 + 20)
-8p3 – 100
3(5x2 + 2x – 4) – x(7x2 + 2x – 3)
-7x3 + 13x2 + 9x – 12

13. Simplify 5(4y2 + 5y – 2) + 2y(4y + 3).
A. 4y2 + 9y + 1
B. 8y2 + 5y – 6
C. 20y2 + 9y + 6
D. 28y2 + 31y – 10

14. Homework
Page 475 #18-28 even
Page 483 #8, 9, 25, 26