11 x1 t01 03 factorising (2013)

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<ul><li> 1. Factorising</li></ul> <p> 2. Factorising1) Look for a common factor 3. Factorising1) Look for a common factor2) (i) 2 terms difference of two squares 4. Factorising1) Look for a common factor2) (i) 2 terms difference of two squares sum/difference of two cubes 5. Factorising1) Look for a common factor2) (i) 2 terms difference of two squares sum/difference of two cubes(ii) 3 terms quadratic trinomial 6. Factorising1) Look for a common factor2) (i) 2 terms difference of two squares sum/difference of two cubes(ii) 3 terms quadratic trinomial(iii) 4 terms grouping in pairs 7. 1. Common Factor factorising= dividing by common factor 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 xdividing by common factor 11. 1. Common Factorfactorising 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 Factorfactorising 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 factorisinge.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 Factorfactorising 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 Squaresa 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 24. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x ab 25. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x abe.g. (i ) x 2 9 x 18 26. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x abe.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 abe.g. (i ) x 2 9 x 18 18 x 6 x 39 28. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x abe.g. (i ) x 2 9 x 18 18 x 6 x 39 (ii ) t 2 4t 3 29. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x abe.g. (i ) x 2 9 x 18 18 x 6 x 39 (ii ) t 2 4t 3 3 4 30. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x abe.g. (i ) x 2 9 x 18 18 x 6 x 39 (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 abe.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 abe.g. (i ) x 2 9 x 18 18 x 6 x 39 (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 abe.g. (i ) x 2 9 x 18 18 x 6 x 39 (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 34. b) Splitting the Middle 35. b) Splitting the Middlee.g. (i ) 3x 2 4 x 7 36. b) Splitting the MiddleMultiply the constant by thee.g. (i ) 3x 4 x 7 2 21 coefficient of x squared47 3 37. b) Splitting the Middle Multiply the constant by thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 3 38. b) Splitting the Middle Multiply the constant by thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 3 3 x x 1 7 x 1 39. b) Splitting the Middle Multiply the constant by thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 3 3 x x 1 7 x 1 x 1 3 x 7 40. b) Splitting the Middle Multiply the constant by thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 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 thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 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 thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 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 thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 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 thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 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 thee.g. (i ) 3x 4 x 72 21coefficient of x squared 3x 2 3x 7 x 7 47 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</p>