1. Section 8.3 Day 1 Multiplying Polynomials
Algebra 1

2. Learning Targets
Multiply two binomials
Multiply any two polynomials

3. Section 8.1-8.2 Review Multiply −8 𝑥 7 (3 𝑥 2 −2+4 𝑥 3 )
Directions: With your group, answer the following
Multiply −8 𝑥 7 (3 𝑥 2 −2+4 𝑥 3 )
Write your final answer in standard form.
Identify the leading coefficient.
Categorize the polynomial by its terms.
Categorize the polynomial by its degree.

4. Topic 1: Multiplying Binomials
Section 8.3 Day 1
Algebra 1

5. Multiply Binomials: Distributive Property Horizontal Organization
Find the product of (𝒙+𝟑)(𝒙−𝟐)
𝒙 𝒙−𝟐 +𝟑 𝒙−𝟐
𝒙 𝟐 −𝟐𝒙+𝟑𝒙−𝟔
Final Answer: 𝒙 𝟐 +𝒙−𝟔

6. Multiply Binomials: Distributive Property Box Organization
Find the product of (𝒙+𝟑)(𝒙−𝟐) Final Answer: 𝒙 𝟐 +𝒙−𝟔 𝒙 −𝟐
𝒙 𝟐
−𝟐𝒙 +𝟑 𝟑𝒙 −𝟔

7. Practice Set 1: Problem 1
Multiply (2𝑥+3)(𝑥−4) using both organization techniques
Horizontal Method Box Method
1. 𝟐𝒙 𝒙−𝟒 +𝟑 𝒙−𝟒
2. 𝟐 𝒙 𝟐 −𝟖𝒙+𝟑𝒙−𝟏𝟐
Final Answer: 𝟐 𝒙 𝟐 −𝟓𝒙−𝟏𝟐 𝒙 −𝟒 𝟐𝒙
𝟐 𝒙 𝟐
−𝟖𝒙 +𝟑 𝟑𝒙
−𝟏𝟐

8. Practice Set 1: Problem 2
Multiply ( 𝑥 2 −5)( 𝑥 3 +2𝑥) using both organization techniques
Horizontal Method Box Method
1. 𝒙 𝟐 𝒙 𝟑 +𝟐𝒙 −𝟓 𝒙 𝟑 +𝟐𝒙
2. 𝒙 𝟓 +𝟐 𝒙 𝟑 −𝟓 𝒙 𝟑 −𝟏𝟎𝒙
Final Answer: 𝒙 𝟓 −𝟑 𝒙 𝟑 −𝟏𝟎𝒙
𝒙 𝟑 𝟐𝒙
𝒙 𝟐
𝒙 𝟓
𝟐 𝒙 𝟑 −𝟓
−𝟓 𝒙 𝟑
−𝟏𝟎𝒙

9. Topic 2: Multiplying Polynomials
Section 8.3 Day 1
Algebra 1

10. Practice Set 2: Problem 1
Multiply 6𝑥+5 2 𝑥 2 −3𝑥−5 using both organization techniques
Horizontal Method Box Method
1. 𝟔𝒙 𝟐 𝒙 𝟐 −𝟑𝒙−𝟓 +𝟓(𝟐 𝒙 𝟐 −𝟑𝒙 −𝟓)
2. 𝟏𝟐 𝒙 𝟑 −𝟏𝟖 𝒙 𝟐 −𝟑𝟎𝒙+𝟏𝟎 𝒙 𝟐 −𝟏𝟓𝒙−𝟐𝟓
Final Answer: 𝟏𝟐 𝒙 𝟑 −𝟖 𝒙 𝟐 −𝟒𝟓𝒙−𝟐𝟓
𝟐 𝒙 𝟐
−𝟑𝒙 −𝟓 𝟔𝒙
𝟏𝟐 𝒙 𝟑
−𝟏𝟖 𝒙 𝟐
−𝟑𝟎𝒙 +𝟓
𝟏𝟎 𝒙 𝟐
−𝟏𝟓𝒙
−𝟐𝟓

11. Practice Set 2: Problem 2 Multiply( 𝑚 2 +2𝑚−3)(4 𝑚 2 −7𝑚+5)
Horizontal Method
1. 𝒎 𝟐 𝟒 𝒎 𝟐 −𝟕𝒎+𝟓 +𝟐𝒎 𝟒 𝒎 𝟐 −𝟕𝒎+𝟓 −𝟑 𝟒 𝒎 𝟐 −𝟕𝒎+𝟓
2. 𝟒 𝒎 𝟒 −𝟕 𝒎 𝟑 +𝟓 𝒎 𝟐 +𝟖 𝒎 𝟑 −𝟏𝟒 𝒎 𝟐 +𝟏𝟎𝒎−𝟏𝟐 𝒎 𝟐 +𝟐𝟏𝒎−𝟏𝟓
Box Method
Final Answer: 𝟒 𝒎 𝟒 + 𝒎 𝟑 −𝟐𝟏 𝒎 𝟐 +𝟑𝟏𝒎−𝟏𝟓
𝟒 𝒎 𝟐
−𝟕𝒎 +𝟓
𝒎 𝟐
𝟒 𝒎 𝟒
−𝟕 𝒎 𝟑
𝟓 𝒎 𝟐 𝟐𝒎
𝟖 𝒎 𝟑
−𝟏𝟒 𝒎 𝟐
𝟏𝟎𝒎 −𝟑
−𝟏𝟐 𝒎 𝟐
𝟐𝟏𝒎
−𝟏𝟓

12. Topic 3: Application
Section 8.3 Day 1
Algebra 1

13. Practice Set 3: Problem 1 What is the volume of the following prism?
1. Volume: Length ∙ Width ∙ Height
2. 𝑉=(3)(4𝑥−1)(5𝑥+2)
3. 𝑉=(12𝑥−3)(5𝑥+2)
4. Use any organization method to multiply
5. Final Answer: 𝟔𝟎 𝒙 𝟐 +𝟗𝒙−𝟔
𝟓𝒙+𝟐 𝟑
𝟒𝒙−𝟏

14. Exit Ticket for Homework
Provided Worksheet