grade 8 factoring

1. FACTORING

2. A. Solve the following by factoring algebraically.
1. 3x + 15
2. 6x2
– 12x
3. 8x3
- 4x2
4. x2
– 49
5. x2
– 64
6. x4
– 25
7. 4x2
– 9y4
ACTIVITY
= 3(x + 5) CMF
= 6x(x – 2) CMF
= 4x2
(2x - 1) CMF
=(x + 3)(x – 3) DTS
=(x + 8)(x – 8) DTS
=(x2
+ 5)(x2
– 5) DTS
=(2x + 3y2
)(2x – 3y2
) DTS

3. B. Factor the following using algebra tiles.
1. 3x + 15
2. 6x2
– 12x
3. x2
– 16
4. x2
– 25
ACTIVITY
= 3(x + 5)
= 6x(x – 2)
=(x + 4)(x – 4)
=(x + 5)(x – 5)

4. COMMON MONOMIAL FACTOR
1.) 3x + 15
3x + 15

5. COMMON MONOMIAL FACTOR
1.) 3x + 15 = 3(x + 5)
Length x + 5
width
3

6. COMMON MONOMIAL FACTOR
2.) 6x2
– 12x = 6x(x – 2)

7. COMMON MONOMIAL FACTOR
2.) 6x2
– 12x = 6x(x – 2)
Length x – 2
width
6x

8. DIFFERENCE OF TWO SQUARES
3.) x2
– 16
x2
- 16
=(x + 4)(x – 4)

9. DIFFERENCE OF TWO SQUARES
3.) x2
– 16
x - 4
x + 4
=(x + 4)(x – 4)

10. DIFFERENCE OF TWO SQUARES
4.) x2
– 25
x2
- 25
=(x + 5)(x – 5)

11. DIFFERENCE OF TWO SQUARES
4.) x2
– 25
x - 5
x + 5
=(x + 5)(x – 5)

13. PERFECT SQUARE TRINOMIAL (PST)
- It a trinomial.
- The first and last terms are perfect square. Last term
is always positive.
- The middle term is twice the product of the square
roots of first and last term.
How to factor:
- Get the square root of first and last terms.
- Create a binomial factor using the square roots.
Connect them using the sign of middle term.
- Square the binomial factor.
FACTORING PERFECT SQUARE
TRINOMIAL PST

14. D. PERFECT SQUARE TRINOMIAL
a2
± 2ab + b2
= (a ± b) 2
1.) x2
– 4x + 4
c. Square the binomial
factor.
b. Create a binomial factor
using the sq. roots and
connect them using the
sign of middle term.
a. Get the sq. roots of 1st
and last terms
2. x2
+ 6x + 9
3.) x2
– 2x +1
4.) 25x2
– 90x + 81

15. D. PERFECT SQUARE TRINOMIAL
a2
± 2ab + b2
= (a ± b) 2
1.) x2
– 4x + 4
x2 – 4x
+ 4

16. D. PERFECT SQUARE TRINOMIAL
1.) x2
– 4x + 4
Place the x2
tile and +4 (blue) tiles in the grid.
Place the – 4x (red) tiles in the grid.

17. D. PERFECT SQUARE TRINOMIAL
1.) x2
– 4x + 4 Fill the outside sections of the grid with x-tiles and
1-tiles that complete the pattern.
x– 2 (Length)
x– 2
(width)
= (x – 2) 2

18. D. PERFECT SQUARE TRINOMIAL
a2
± 2ab + b2
= (a ± b) 2
x2
+ 6x + 9
x2 6x + 9

19. D. PERFECT SQUARE TRINOMIAL
x2
+ 6x + 9
Place the x2
tile and +9(blue) tiles in the grid.
Place the 6x (blue) tiles in the grid.

20. D. PERFECT SQUARE TRINOMIAL
x2
+ 6x + 9 Fill the outside sections of the grid with x-tiles and
1-tiles that complete the pattern.
x + 3 (Length)
x+3
(width)
= (x + 3) 2

21. D. PERFECT SQUARE TRINOMIAL
a2
± 2ab + b2
= (a ± b) 2
3.) x2
– 2x +1
x2
– 2x
+ 1

22. D. PERFECT SQUARE TRINOMIAL
3.) x2
– 2x + 1
x– 1 (Length)
x– 1
(width)
= (x – 1) 2

23. ACTIVITY TITLE: PERFECT SQUARE TRINOMIAL
LEARNING TARGET: I CAN FACTOR PST
2.) 4x2
+ 4x + 1
1.) x2
–10x + 25
Solve the following by factoring algebraically.
3.) x2
– 12x + 36
4.) 9x2
+ 12x + 4
5.) x2
– 14x+49
Solve the following by factoring using tiles.
1.) x2
–10x + 25

24. ACTIVITY TITLE: PERFECT SQUARE TRINOMIAL
LEARNING TARGET: I CAN FACTOR PST
2.) 4x2
+ 4x + 1
1.) x2
–10x + 25
Solve the following by factoring .
3.) x2
– 12x + 36
4.) 9x2
+ 12x + 4
5.) x2
– 14x+49
= (x – 5)2
= (2x + 1) 2
=(x – 6)2
= (3x + 2)2
= (x – 7)2

25. x 2
– 10x + 25

26. x - 5 (Length)
x-5
(width)
= (x - 5) 2

27. ACTIVITY TITLE: FACTORING
LEARNING TARGET: I CAN FACTOR CMF. DTS AND PST
2.) x2
– 1
1.) x2
– 6x + 9
I. Identify the type of factoring and solve by using tiles.
(show the representation and factored form.)
a. Type of factoring
b. Representation
c. Factored form
3.) 5x + 10
4.) 2x2
– 4x