
9th Math factorisation 2 (SMT)
Presentation
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Lester Orellana
Used 8+ times
FREE Resource
5 Slides • 4 Questions
1
2
Multiple Choice
Find to numbers to get 'b' and 'ac':
2x2 - 11x + 12
(explanation is on next slide)
-8 and -3
-8 and 3
-12 and 1
11 and 1
4 and 3
3
Always multiply a and c.
2 * 12 = 24
Then find 2 numbers that their product is 24. (start using 2, then 3 ...)
2x12, then 3x8, then 4x6, nothing with 5, 6 already used, ....
Use the negative sign accordingly. 24 is positive, both have to be either positive or negative.
No combination using 2 and 12.
+3 and +8 = +11 (does not match b = -11)
-3 and -8 = -11 (it matches!)
no need to combine 4 and 6.
4
Multiple Select
Find the next step using the two numbers:
2x2 - 11x + 12
(explanation is on next slide)
2x2 - 3x - 8x + 12
2x2 - 8x - 3x + 12
2x2 + 8x - 3x + 12
5
Then we apply the common factor every two terms...
6
Multiple Choice
Apply the common factor every 2 terms:
2x2 - 3x - 8x + 12
(explanation is on next slide)
x (2x - 3) -4 (2x - 3)
x (2x - 3) 4 (2x - 3)
x (2x - 3) + 4 (2x - 3)
7
8
Multiple Choice
Apply the common factor:
x (2x - 3) -4 (2x - 3)
(explanation is on next slide)
(2x - 3) (x - 4)
(2x - 3) (x + 4)
(2x + 3) (x - 4)
9
To factorise expressions where a ≠ 1. (SMT)
a. Look for 2 numbers to get a*c.
b. If 'b' is positive, means that both are either positive or negative.
c. Apply common factor every 2 terms.
d. Apply common factor at the end.
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