2. CANDY CRUSH RULES! If you are correct, you get a candy!
Work through the problem on your individual white board. Show your work!
After time is called, 5 students will randomly be selected to provide their answer.
When your name is called, stand up. (No more writing allowed!)
After all five students are standing, you will be asked to show your solution.
If you are correct, you get a candy!
If you are incorrect, you don’t get a candy!

3. Write in Descending Order1
Polynomial Operations and Combining Like Terms
2𝑥 3 −4𝑥+1 +3( 5𝑥 3 −2𝑥+5)
𝟐𝒙 𝟑 −𝟒𝒙+𝟏+𝟏𝟓 𝒙 𝟑 −𝟔𝒙+𝟏𝟓
Drop Parenthesis
Distribute the 3
Combine Like Terms
Write in Descending Order
𝟏𝟕𝒙 𝟑 −𝟏𝟎𝒙+𝟏𝟔

4. Polynomial Operations and Combining Like Terms2
Polynomial Operations and Combining Like Terms
2 4𝑥 2 −𝑥+2 −3( 𝑥 3 +3𝑥 −1)
𝟖𝒙 𝟐 −𝟐𝒙+𝟒−𝟑 𝒙 𝟑 −𝟗𝒙+𝟑
Distribute the 2
Distribute the -3
Combine Like Terms
Write in Descending Order
−𝟑𝒙 𝟑 + 𝟖𝒙 𝟐 −𝟏𝟏𝒙+𝟕

5. Multiplying Polynomials3
Multiplying Polynomials
2𝑥−3 (𝑥+4)
𝟐𝒙 𝟐 +𝟖𝒙 −𝟑𝒙 −𝟏𝟐
FOIL
First: 2x2
Outer: + 8x
Inner: -3x
Last: -12
Combine Like Terms
Write in Descending Order
𝟐𝒙 𝟐 +𝟓𝒙−𝟏𝟐

6. Multiplying Polynomials4
Multiplying Polynomials
3𝑥+1 ( 2𝑥 2 +4𝑥 −5)
2x2
+4x -5
Distribute or
Box Method
Or Straight Up!
Combine Like Terms
Write in Descending Order 3x
6x3
+12x2
-15x +1
+2x2
+4x -5
𝟔𝒙 𝟑 + 𝟏𝟒𝒙 𝟐 −𝟏𝟏𝒙−𝟓

7. 5 Factor Out the GCF 𝑮𝑪𝑭=𝟐𝒙 𝟐𝒙(𝟒𝒙 𝟐 +𝟓𝒙−𝟏) 8𝑥 3 + 10𝑥 2 −2𝑥
8𝑥 𝑥 2 −2𝑥
Write in Descending Order if applicable
Prime Factor Each Term
Find the GCF
Factor out the GCF
And write what remains in the parenthesis
8x3 = 2 · 2 · 2 · x · x · x
10x2 = 2 · 5 · x · x
2x = 2 · x
𝑮𝑪𝑭=𝟐𝒙
𝟐𝒙(𝟒𝒙 𝟐 +𝟓𝒙−𝟏)

8. 6 Factor Out the GCF 𝑮𝑪𝑭=−𝟑𝒙𝟐𝒚 −𝟑𝒙𝟐𝒚(𝟕𝒙 𝟑 𝒚𝟐+𝟒𝒙𝒚 −𝟓)
−21𝑥 5 𝑦 3 − 12𝑥 3 𝑦 𝑥 2 𝑦
Write in Descending Order if applicable
Prime Factor Each Term
Find the GCF
(First Term is negative so GCF will be negative!)
Factor out the GCF
And write what remains in the parenthesis
(Signs will change!)
21x5y3 = 3·7·x·x·x·x·x·y·y·y
12x3y2 = 2·2·3·x·x·x·y·y
15x2y = 3·5·x·x·y
𝑮𝑪𝑭=−𝟑𝒙𝟐𝒚
−𝟑𝒙𝟐𝒚(𝟕𝒙 𝟑 𝒚𝟐+𝟒𝒙𝒚 −𝟓)

9. Recognize what type of factoring it is7
Factoring Trinomials
𝑥 2 −8𝑥+15
Recognize what type of factoring it is
EASY
Hippo Butt
Product +15
Sum -8
Both signs are –
( )( ) x
– 5 x
– 3
(𝒙 −𝟓)(𝒙−𝟑)

10. Recognize what type of factoring it is8
Factoring Trinomials
2𝑥 2 +5𝑥−12 x +4
Recognize what type of factoring it is
Box Method or
Bottoms Up
Product -24
Difference is +5
Signs are opposite +/-
+8x
-3x 2x
2x2
+8x -3
-3x
-12
(𝟐𝒙 −𝟑)(𝒙+𝟒)

11. Recognize what type of factoring it is9
Factoring Difference of Squares
9𝑥 2 −25
Recognize what type of factoring it is
Difference of Squares!
EASY
Hippo Butt
Perfect Square
9x2 = 3x·3x
= 5·5
Opposite Signs
( )( ) 3x
– 5 3x
+ 5
(𝟑𝒙 −𝟓)(𝟑𝒙+𝟓)

12. Recognize what type of factoring it is Perfect Square Trinomial!10
Factoring Perfect Square Trinomials
4𝑥 2 +28𝑥+49
Recognize what type of factoring it is
Perfect Square Trinomial!
EASY
Hippo Butt
Perfect Square
4x2 = 2x·2x
49 = 7·7
2x·7 = 14x
Double 14x = 28x
Same Signs! Both +
( )( ) 2x
+ 7 2x
+ 7
(𝟐𝒙+𝟕 ) 𝟐

13. 11 Factor by Grouping (𝟐𝒙+𝟑)(𝟑 𝒙 𝟐 −𝟐) 6𝑥 3 +9 𝑥 2 −4𝑥 −6 3 𝑥 2 (2𝑥+3)
6𝑥 3 +9 𝑥 2 −4𝑥 −6
Recognize what type of factoring it is (4 Terms)
GROUP!
Factor out GCF
If first term is negative,
Factor out a negative
MUST be left with the same factors for each!
3 𝑥 2 (2𝑥+3)
− 2(2𝑥+3)
NOTICE!
(𝟐𝒙+𝟑)(𝟑 𝒙 𝟐 −𝟐)

14. 12 Factor Completely 𝟔𝒙𝒚(𝒙 −𝟒)(𝒙+𝟐) 6𝑥 3 𝑦 − 12𝑥 2 𝑦 −48𝑥𝑦
6𝑥 3 𝑦 − 12𝑥 2 𝑦 −48𝑥𝑦
𝑮𝑪𝑭 = 𝟔𝒙𝒚
First: Look for any GCF
Factor Out GCF
Keep factoring until there is nothing left to factor!
Recognize what type of factoring you are left with
EASY
Hippo Butt
𝟔𝒙𝒚( 𝒙 𝟐 −𝟐𝒙 −𝟖)
𝟔𝒙𝒚(𝒙 −𝟒)(𝒙+𝟐)

15. 13 Factor Completely (𝒙 −𝟑)( 𝒙 𝟐 −𝟒) (𝒙 −𝟑)(𝒙+𝟐)(𝒙−𝟐)
𝑥 3 − 3𝑥 2 −4𝑥+12
First: Look for any GCF
Recognize 4 Terms
GROUP!
Look at the factors
You still have an x2
Difference of Squares!
𝑥 2 (𝑥−3)
− 4(𝑥−3)
NOTICE!
(𝒙 −𝟑)( 𝒙 𝟐 −𝟒)
(𝒙 −𝟑)(𝒙+𝟐)(𝒙−𝟐)

16. 14 Factor Completely 𝟓𝒙( )( ) 60𝑥 3 + 5𝑥 2 −5𝑥 𝟓𝒙(𝟏𝟐 𝒙 𝟐 +𝒙 −𝟏)
60𝑥 𝑥 2 −5𝑥
𝑮𝑪𝑭 = 𝟓𝒙
First: Look for any GCF
Factor Out GCF
Keep factoring until there is nothing left to factor!
Recognize what type of factoring you are left with
Box Method/Bottoms Up
Don’t forget about GCF!
𝟓𝒙(𝟏𝟐 𝒙 𝟐 +𝒙 −𝟏)
𝟓𝒙( )( )
NEXT PAGE

17. 3x +1 4x -1 14 Factor Completely 𝟓𝒙( )( ) 𝟓𝒙(𝟒𝒙 −𝟏)(𝟑𝒙+𝟏)
60𝑥 𝑥 2 −5𝑥
𝟓𝒙(𝟏𝟐 𝒙 𝟐 +𝒙 −𝟏)
𝟓𝒙( )( ) 3x +1
Factor of -12 4x
12x2
+4x -1
-3x -1
𝟓𝒙(𝟒𝒙 −𝟏)(𝟑𝒙+𝟏)

18. Next Class: Review Assignment Due! Polynomial Unit TEST!
20 Multiple Choice
Polynomial Vocabulary
Add/Subtract/Multiply Polynomials
Factoring
8 Short Answer