4. Factorising
1) Look for a common factor
2) (i) 2 terms
difference of two squares
sum/difference of two cubes
5. Factorising
1) Look for a common factor
2) (i) 2 terms
difference of two squares
sum/difference of two cubes
(ii) 3 terms
quadratic trinomial
6. Factorising
1) Look for a common factor
2) (i) 2 terms
difference of two squares
sum/difference of two cubes
(ii) 3 terms
quadratic trinomial
(iii) 4 terms
grouping in pairs
8. 1. Common Factor
factorising
e.g. (i ) ax bx
=
dividing by common factor
9. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
dividing by common factor
10. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x dividing by common factor
11. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
12. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny
13. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
14. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
15. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
16. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1
17. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
18. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
(ii ) 3 y 2 75
19. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
(ii ) 3 y 2 75 =3 y 2 25
20. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
(ii ) 3 y 2 75 =3 y 2 25
=3 y 5 y 5
21. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
(ii ) 3 y 2 75 =3 y 2 25
=3 y 5 y 5
(iii ) 5 x 5 y x 2 y 2
22. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
(ii ) 3 y 2 75 =3 y 2 25
=3 y 5 y 5
(iii ) 5 x 5 y x 2 y 2 =5 x y x y x y
23. 1. Common Factor
factorising
e.g. (i ) ax bx x a b
=
(ii ) 5 x 2 10 x 5 x x 2 dividing by common factor
(iii ) mx nx my ny x m n y m n
m n x y
2. Difference of Two Squares
a 2 b 2 a b a b
e.g. (i ) 16x 2 1 = 4 x 1 4 x 1
(ii ) 3 y 2 75 =3 y 2 25
=3 y 5 y 5
(iii ) 5 x 5 y x 2 y 2 =5 x y x y x y
= x y 5 x y
25. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18
26. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
9
27. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
28. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
(ii ) t 2 4t 3
29. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
(ii ) t 2 4t 3 3
4
30. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
(ii ) t 2 4t 3 3
t 3 t 1 4
31. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
(ii ) t 2 4t 3 3
t 3 t 1 4
(iii ) x 2 5 xy 4 y 2
32. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
(ii ) t 2 4t 3 3
t 3 t 1 4
(iii ) x 2 5 xy 4 y 2 4 y 2
5 y
33. 3. Quadratic Trinomial
a) Monic Quadratic
x a x b x 2 a b x ab
e.g. (i ) x 2 9 x 18 18
x 6 x 3 9
(ii ) t 2 4t 3 3
t 3 t 1 4
(iii ) x 2 5 xy 4 y 2 4 y 2
x y x 4 y 5 y
36. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
4 7 3
37. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
38. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
39. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
40. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
(ii ) 2 x 2 5 x 12
41. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
(ii ) 2 x 2 5 x 12 24
5
42. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
(ii ) 2 x 2 5 x 12 24
2 x 2 8 x 3 x 12 5
43. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
(ii ) 2 x 2 5 x 12 24
2 x 2 8 x 3 x 12 5
2 x x 4 3 x 4
44. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
(ii ) 2 x 2 5 x 12 24
2 x 2 8 x 3 x 12 5
2 x x 4 3 x 4
x 4 2 x 3
45. b) Splitting the Middle
Multiply the constant by the
e.g. (i ) 3x 4 x 7
2 21
coefficient of x squared
3x 2 3x 7 x 7 4 7 3
3 x x 1 7 x 1
x 1 3 x 7
(ii ) 2 x 2 5 x 12 24
2 x 2 8 x 3 x 12 5
2 x x 4 3 x 4
x 4 2 x 3
Exercise 1C; 1e, 2f, 3d, 4ejo, 5adhkn, 6ace etc, 7ace etc, 8*bdfij