The document contains activities on categorizing and factoring trinomials, focusing on distinguishing perfect square trinomials from non-perfect ones. It provides examples, directions for factoring, and practice drills for students to work on various trinomials. Additionally, there are special cases of trinomials with specific factoring techniques demonstrated.

1. FACTORING
NOT PERFECT SQUARE TRINOMIAL
(GENERAL TRINOMIAL a = 1)

2. ACTIVITY I: AM I PERFECT OR NOT?
A. DIRECTION: CATEGORIZE THE FOLLOWING TRINOMIALS AS TO
WHERE IT BELONGS.
m² + 12m + 36 16d² - 24d + 9
p² + 5p + 6 q² + q – 12
9n² + 30nd + 25d² v² + 4v – 21
121c² + 66c + 9 q² - 3q – 18
n² - 17n + 72 49g² - 84g + 36
PERFECT SQUARE
TRINOMIAL
NOT PERFECT SQUARE
TRINOMIAL
B. FACTOR THE TRINOMIALS THAT BELONGS TO PERFECT SQUARE
TRINOMIAL.

3. ACTIVITY I: AM I PERFECT OR NOT?
A. DIRECTION: CATEGORIZE THE FOLLOWING TRINOMIALS AS TO
WHERE IT BELONGS.
PERFECT SQUARE TRINOMIAL NOT PERFECT SQUARE TRINOMIAL
m² + 12m + 36
16d² - 24d + 9
p² + 5p + 6
q² + q – 12
9n² + 30nd + 25d² v² + 4v – 21
121c² + 66c + 9 q² - 3q – 18
n² - 17n + 72
49g² - 84g + 36

4. ACTIVITY I: AM I PERFECT OR NOT?
PERFECT SQUARE TRINOMIAL FACTORS
B. FACTOR THE TRINOMIALS THAT BELONGS TO PERFECT SQUARE
TRINOMIAL.
m² + 12m + 36
16d² - 24d + 9
(m + 6)²
(4d – 3)²
9n² + 30nd + 25d² (3n + 5d)²
121c² + 66c + 9 (11c + 3)²
(7g – 6)²
49g² - 84g + 36
=
=
=
=
=

5. FACTORING
NOT PERFECT SQUARE TRINOMIAL
(GENERAL TRINOMIAL a = 1)

6. ACTIVITY I: AM I PERFECT OR NOT?
A. DIRECTION: CATEGORIZE THE FOLLOWING TRINOMIALS AS TO
WHERE IT BELONGS.
PERFECT SQUARE TRINOMIAL NOT PERFECT SQUARE TRINOMIAL
m² + 12m + 36
16d² - 24d + 9
p² + 5p + 6
q² + q – 12
9n² + 30nd + 25d² v² + 4v – 21
121c² + 66c + 9 q² - 3q – 18
n² - 17n + 72
49g² - 84g + 36

7. HOW TO FACTOR GENERAL TRINOMIALS ax² +
bx + c WHERE a = 1?
NOT PERFECT SQUARE TRINOMIAL
p² + 5p + 6
q² + q – 12
v² + 4v – 21
q² - 3q – 18
n² - 17n + 72

8. HOW TO FACTOR GENERAL TRINOMIALS ax² +
bx + c WHERE a = 1?
EXAMPLE:
p² + 5p + 6 = ( )( )
FACTOR THE FIRST TERM
p² = p ● p
p p
FACTOR THE LAST TERM
6 1 ● 6
-1 ● -6
2 ● 3
-2 ● -3
THE SUM FACTOR THE LAST TERM
= 7
= -7
= +5
+ 2 + 3

9. HOW TO FACTOR GENERAL TRINOMIALS ax² +
bx + c WHERE a = 1?
EXAMPLE:
q² + q - 12 = ( )( )
FACTOR THE FIRST TERM
q² = q ● q
q q
FACTOR THE LAST TERM
-12 1 ● -12
-1 ● 12
4 ● -3
-4 ● 3
THE SUM FACTOR THE LAST TERM
= -11
= 11
= +1
+ 4 - 3

10. HOW TO FACTOR GENERAL TRINOMIALS ax² +
bx + c WHERE a = 1?
EXAMPLE:
v² + 4v - 21 = ( )( )
FACTOR THE FIRST TERM
v² = v ● v
v v
FACTOR THE LAST TERM
-21 -7 ● 3
7 ● -3
1 ● -21
-1 ● 21
THE SUM FACTOR THE LAST TERM
= -4
= +4
= -20
+ 7 - 3

11. HOW TO FACTOR GENERAL TRINOMIALS ax² +
bx + c WHERE a = 1?
EXAMPLE:
n² - 17n + 72 = ( )( )
FACTOR THE FIRST TERM
n² = n ● n
n n
FACTOR THE LAST TERM
72 8 ● 9
-8 ● -9
1 ● 72
-1 ● -72
THE SUM FACTOR THE LAST TERM
= 17
= -17
= 73
- 8 - 9

12. q² - 3q – 18

13. DRILL

14. 1. m² + m – 90
(m-9)(m+10)

15. 2. m² + 2m – 24
(m+6)(m-4)

16. 3. k² - 13k + 40
(k-5)(k-8)

17. 4. x² - x -56
(x+7)(x-8)

18. 5. x² - 15x +50
(x-10)(x-5)

19. FACTOR
BINGO
GAME
Caption

20. FACTOR

21. THANK YOU FOR
LISTENING!