

Factoring Review
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Lindsey Showers
Used 5+ times
FREE Resource
3 Slides • 31 Questions
1
Factoring Review
We have studied 4 types of factoring in the last 2 weeks:
1. GCF
2. Grouping
3. Trinomials (a=1)
4. Difference of Squares

2
Poll
How many eLearning assignments for this class have you completed
All (3)
Some (2)
Only 1
None
3
Multiple Choice
4
Multiple Choice
5
Multiple Choice
What is the first step when factoring polynomials?
Find the GCF
List all the terms
Make a triangle
Write the answer
6
Multiple Choice
Factor 4b5+4b3+16b2
4b3(b4+b2+4b)
4b3(b4+4b+5)
4(b5+b3+4b2)
4b2(b3+b+4)
7
Multiple Choice
When a polynomial has 4 terms you can often factor by grouping.
Factor the following by grouping: 2x3-8x2-x+4
(2x2-1)(x-4)
2(x2-1)(x+4)
(x2-1)(2x-4)
(2x2+1)(x-4)
8
Multiple Choice
Factor by grouping: 7r3-8r2+42r-48
(r2+6)(7r+8)
(r2+6)(7r-8)
(r2+6)(r2+8)
(r2+6)(7r+6)
9
Prime Polynomials
If a polynomial cannot be factored at all it is called "PRIME"
10
Multiple Choice
What is a method of checking your work when factoring?
Box Method
asking the teacher every time
hope you're correct
division
11
Multiple Choice
Factor
k2+7k+10
(k+2)(k+5)
(k-2)(k-5)
(k+10)(k+4)
(k+2)(k-5)
12
Multiple Choice
a2 - a - 12
13
Multiple Choice
x2 + 9x - 36
14
Multiple Choice
15
Multiple Choice
k2 -2k - 24
16
Multiple Choice
n2 + 16n + 63
17
Multiple Choice
k2+7x+10
18
Multiple Choice
Factor completely. Use the perfect square chart to the left.
x2 - 144
( x - 12 ) 2
( x - 12 ) ( x - 12 )
( x + 12 ) ( x + 12 )
( x + 12 ) ( x - 12 )
19
Multiple Choice
Factor using difference of squares pattern
x2 - 25
( x + 5 ) ( x - 5 )
( x - 5 ) ( x - 5 )
( x + 5 ) ( x + 5 )
Prime
20
Multiple Choice
Factor: x2 - 16
Prime
( x - 4) ( x + 4)
( x - 8) ( x + 8)
( x - 4) ( x - 4)
21
Multiple Choice
Factor completely. (Hint: Factor out GCF first.)
18x2 - 50
2 ( 9x2 - 25 )
( 3x + 5 ) ( 3x - 5 )
2 ( 3x + 5 ) ( 3x - 5 )
2 ( 3x - 5 ) ( 3x - 5 )
22
Multiple Choice
Factor Completely: x2 - 25
( x + 5 ) ( x - 5 )
( x - 5 ) ( x - 5 )
( x + 5 ) ( x + 5 )
Prime
23
The next slides are a mixed review of all types of factoring. These need to be written out clearly on your paper to submit at the end of class.
Please number each question, write the original, and show any necessary work.
24
Multiple Choice
Factor the following trinomial:
(x+6)(x−4)
(x−6)(x+4)
(x−6)(x−4)
(x+6)(x+4)
25
Multiple Choice
Fully Factor the Following
16x2+25
Prime
(4x-5)(4x+5)
(4x+5)(4x-5)
(4x+5)2
26
Multiple Choice
18a2 - 15a
27
Multiple Choice
28
Multiple Choice
29
Multiple Choice
5n³-10n²+3n-6
30
Multiple Choice
x3 - 4x2 -4x + 16
31
Multiple Choice
9x2 - 49
32
Multiple Choice
81m2 - 1
33
Multiple Choice
3x2 + 18x +15
Hint: Factor GCF first.
34
Multiple Choice
Factoring Review
We have studied 4 types of factoring in the last 2 weeks:
1. GCF
2. Grouping
3. Trinomials (a=1)
4. Difference of Squares

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