Factorisation
By the end of the lesson you will be able to:
• Factorise quadratic expressions(trinomials) of 
the form: ax...
Factorise fully:
Factorise fully:
Let's try to factorise  
Which two terms multiply to make             ?
2x2
+7x+5
(            ) (            )
2x2
(     ...
(            ) (            )2x 
 x 
+1  +5
We have to swap around the 1 and the 5
Now, expand again:
Always expand to che...
Factorise:
3x2
+16x+21
(            ) (            )
List the factors of 21:
so it could be:
(3x +7) ( x + 3)or(3x +3) ( x...
Let's try to factorise 3x2
+13x­10
(            ) (            )
List the factors of -10:
The best way to find the correct...
Now even worse!
4x2
­4x­3
Which two terms multiply to make ?4x2
It could be:
or(4x     )  ( x         )  (2x      )   ( 2x...
Factorise:
4x2
 ­25
solve worksheet "Factorisation " Ex D2
2 x3 
­ 11 x2 
+ 5x=
At the end of the lesson:
Factorise:
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Factorising quadratic expressions 2

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Factorising quadratics by inspection with quadratic coefficient different from 1

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Factorising quadratic expressions 2

  1. 1. Factorisation By the end of the lesson you will be able to: • Factorise quadratic expressions(trinomials) of  the form: ax2 +bx+c
  2. 2. Factorise fully:
  3. 3. Factorise fully:
  4. 4. Let's try to factorise   Which two terms multiply to make             ? 2x2 +7x+5 (            ) (            ) 2x2 (            ) (            ) Now, to make the :5 (            ) (            ) 2x   x  2x   x  +1  +5 Let's expand: 2x2 +10x+x+5 2x2 +11x+5
  5. 5. (            ) (            )2x   x  +1  +5 We have to swap around the 1 and the 5 Now, expand again: Always expand to check !!!!!!
  6. 6. Factorise: 3x2 +16x+21 (            ) (            ) List the factors of 21: so it could be: (3x +7) ( x + 3)or(3x +3) ( x + 7) Expand to see which is the correct one. So 3x2 +16x+21  = (3x +7) ( x + 3)
  7. 7. Let's try to factorise 3x2 +13x­10 (            ) (            ) List the factors of -10: The best way to find the correct pair is trial and improvement
  8. 8. Now even worse! 4x2 ­4x­3 Which two terms multiply to make ?4x2 It could be: or(4x     )  ( x         )  (2x      )   ( 2x       ) List the factors of -3: Now try the different possibilities until you find the correct one
  9. 9. Factorise: 4x2  ­25
  10. 10. solve worksheet "Factorisation " Ex D2
  11. 11. 2 x3  ­ 11 x2  + 5x= At the end of the lesson: Factorise:

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