11 X1 T01 03 factorising (2010)

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<ul><li> 1. Factorising </li> <li> 2. Factorising 1) Look for a common factor </li> <li> 3. Factorising 1) Look for a common factor 2) (i) 2 terms difference of two squares </li> <li> 4. Factorising 1) Look for a common factor 2) (i) 2 terms difference of two squares sum/difference of two cubes </li> <li> 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 </li> <li> 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 </li> <li> 7. 1. Common Factor factorising = dividing by common factor </li> <li> 8. 1. Common Factor factorising e.g. (i ) ax bx = dividing by common factor </li> <li> 9. 1. Common Factor factorising e.g. (i ) ax bx x a b = dividing by common factor </li> <li> 10. 1. Common Factor factorising e.g. (i ) ax bx x a b = (ii ) 5 x 2 10 x dividing by common factor </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 24. 3. Quadratic Trinomial a) Monic Quadratic x a x b x 2 a b x ab </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 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 </li> <li> 34. b) Splitting the Middle </li> <li> 35. b) Splitting the Middle e.g. (i ) 3x 2 4 x 7 </li> <li> 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 </li> <li> 37. b) Splitt...</li></ul>