1. 5 Minute Check 5 minutes Multiply. 1) 2x(3x2 + 4x + 1) 2) (4x + 3)(2x)

2. Multiplying Polynomials
Objectives:
Students will demonstrate mastery in analyzing the processes in determining the product(s) of two Polynomials.
Why? So you can apply these principles to real-world situations.
Mastery is 80% or better on 5 min checks and Indy work. .

3. Guided Practice Example 1
Multiply…..(Binomial) (Trinomial)
(x + 1)(x2 + x + 1)
= (x)(x2 + x + 1)
+ (1)(x2 + x + 1)
= (x3 + x2 + x)
+ (x2 + x + 1)
= x3
+ 2x2
+ 2x
+ 1
Option 1: Distribute
Option 2: Stack

4. Guided Practice Example 2
Multiply.
(2x + 3)(x2 + 4x + 5)
= (2x)(x2 + 4x + 5)
+ (3)(x2 + 4x + 5)
= (2x3 + 8x2 + 10x)
+ (3x2 + 12x + 15)
= 2x3
+ 11x2
+ 22x
+ 15
What process is illustrated above in finding the products of the Binomial & Trinomial? Explain

5. Quick Write
When evaluating the product(s) of two polynomials (3x2 or 3x4) What approach / option do you prefer? Why? Ex. Stacking or Distributing. Explain…

6. On Your Own Practice Multiply. 1) (x2 + 5)(x2 + 3x – 4)
x4 + 3x3 + x2 +15x - 20
2) (2x – 3y + 5)(3x + 4y)
6x2 - xy + 15x - 12y2 + 20y

7. Guided Practice Example 3
Multiply.
(5x2 + 3x + 2)(3x2 + 2x – 1)
15x4
+ 10x3
– 5x2
9x3
+ 6x2
– 3x
6x2
+ 4x
- 2
15x4
+ 19x3
+ 7x2
+ x
- 2

8. Quick Write / Pair Share
Compare & Contrast:
What are some of the differences & similarities in the process of finding the products of two binomials and the products of a Binomials & a Trinomial. Explain in your own words

9. Guided Practice Example 4
Multiply.
(4n3 – 6n – 5)(2n2 + n – 2)
8n5
+ 4n4
– 8n3
-12n3
– 6n2
+ 12n
-10n2
– 5n
+ 10
8n5
+ 4n4
– 20n3
– 16n2
+ 7n
+ 10

10. What Do You Think?
What is the importance if any in stacking terms? As seen in the previous example. Explain…

11. On Your Own Practice Multiply. 1) (3x2 – 2x + 4)(x2 + 5x + 1)

12. Critical Thinking…
What could have caused a student to get an answer of x2 +7x when given the following problem…
(x+3) (x+4). Is this answer correct? If not, where did they go wrong?

13. My objective for the day was….
Today I learned …….
Exit Questions

14. Homework
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