e.g .

1. Factorising Method 1: Common Factors e.g. means so, xis a factor of both terms. It is a common factor Common factor So,

2. Exercises Factorise the following by taking out the common factors 1. 2. 3.

3. 4. 5. 6. 7. 8.

4. Factorising Method 3: Trinomials x2+bx+c e.g. 1 or We need the factors of 4 which add up to –3 We need–3xso we want – 4xand +1x. –3x is called the linear term

5. Method 3: Trinomials e.g. 2 or We need the factors of 6 which add up to 7 Constant positive  Signs of factors are the same

6. Exercises Constant positive  Signs of factors are the same 1. 2 3 2. 2 3 3 4 3.

7. Exercises Constant negative  Signs of factors are different 6 1 4. 6 1 5. 1 3 6.

8. Exercises 7. 8. 9. 10.

9. 1. 6. 2. 7. 8. 3. 9. 4. 10. 5.

10. Method 3: Trinomials ax2+bx+c or This time we need the factors of 3 and the factors of 15

11. Method 3: Trinomials ax2+bx+c x`s no.s 1  5 + 3  3 will give –14 1  1 + 3  15 will not give –14 1  3 + 3  5 will not give –14 We need to find the pair which will add up to –14

12. Method 3: Trinomials ax2+bx+c x`s no.s We need to find the pair which will add up to –14 1  –5 + 3  –3 will give –14 (1x – 3)(3x –5) (1x )( –5)

13. Method 3: Trinomials ax2+bx+c

14. Method 3: Trinomials ax2+bx+c This time we need the factors of 10 and the factors of –6

15. Method 3: Trinomials ax2+bx+c x`s no.s We need to find the pair which will add up to –11 2  2 + 5  3 will give 14

16. Method 3: Trinomials ax2+bx+c x`s no.s We need to find the pair which will add up to –11 2  2 + 5  –3 will give –11 (2x )( +2) (2x –3)(5x +2)

17. Method 3: Trinomials ax2+bx+c

18. Method 3: Trinomials ax2+bx+c (2x + 1)(x – 4) (5x – 3)(x + 2) (3x – 2)(x + 7) (2x – 1)(x – 5) (3x – 5)(x + 3)

20. The following slides contain repeats of information on earlier slides, shown without colour, so that they can be printed and photocopied. For most purposes the slides can be printed as “Handouts” with up to 6 slides per sheet.