
Factoring Complex Trinomials (2021)
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Stephen Ternet
Used 10+ times
FREE Resource
8 Slides • 8 Questions
1
by Mr. Ternet
2
1. Multiply the 1st and last numbers
2. Create a simple trinomial
3. Factor this trinomial into 2 sets of ( )
4. Insert the 1st coefficient into each set of ( )
5. Reduce/Simplify each ( ) if necessary
3
​
4
Multiple Choice
If you were asked to factor 3x2−2x−5
What would you do first?
Multiply 3 and -2
Multiply 3 and -5
Multiply -2 and -5
Multiply 3, -2 and -5
5
​
6
Multiple Choice
If you were asked to factor 3x2−2x−5
After multiplying, the product is -15, what is the new simple trinomial?
x2−2x−15
x2−2x+15
x2−15
x2+15
7
​
8
Multiple Select
What are the two sets of ( ) when factoring x2−2x−15 ?
(select 2)
(x+5)
(x−5)
(x+3)
(x−3)
9
10
Multiple Choice
If the original trinomial was 3x2−2x−5 , what number would you add to each set of ( )?
3
-2
-5
11
​
12
Multiple Choice
If you have (3x+5) as one of your ( ), can it reduce?
YES
NO
13
Multiple Choice
If you have (3x+3) as one of your ( ), can it be reduced?
YES
NO
14
Multiple Choice
What does (3x+3) reduce to?
(x+1)
(3x+1)
(x+3)
15
1. Multiply the 1st and last numbers
2. Create a simple trinomial
3. Factor this trinomial into 2 sets of ( )
4. Insert the 1st coefficient into each set of ( )
5. Reduce/Simplify each ( ) if necessary
16
Multiple Choice
Now, try to factor this trinomial on your own.
3x2−8x+4
(3x−2)(3x+2)
3(x+2)(x−2)
(3x−2)(x−2)
(3x−6)(3x+2)
by Mr. Ternet
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