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Factorising Brackets

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Factorising

Factorising single brackets eg. x2 + 9x = x(x + 9)
Factorising quadratics eg. eg x2 - 2x - 35 = (x - 7)(x + 5)
Two stage factorising eg. eg x2 + 5xy + xy - 2y = x(x + 5) + y(x - 2)

 

Activity
Factorising (single brackets) (www.transum.org)
Factorising Quadratics

Class notes, Blank notes

Ex3.01, Ex3.02, Ex3.03, Ex3.04

Theta pg 13

NuLake EAS Q35 -73

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More Factorising

Harder factorising eg. 4x2 + 7x - 15 = (4x + 5)(x - 3)
Difference between two squares eg. 4x2 - 25y2 = (2x + 5y)(2x - 5y)

Activity
Factorising (common factor) (www.transum.org)

 

Class notes, Blank notes

Ex3.05, Ex3.06, Ex3.07

Theta pg 14

NuLake EAS Q74 - 88

NuLake EAS Q88 - 104

 

6 Even More Factorising

Factorising fractions (factorise top and bottom and cancel)

 

Ex3.07

NuLake EAS Q234 - 259

 

Jump down to... Single brackets | 2 step factorising | Quadratics | Negative Quadratic | Common factor Quadratic | Harder Quadratic | Difference between squares |

Factorise Single brackets

Factorise brackets by dividing out a common factor from each term

1) A number

2) A variable

Answer

3) Number & Variable

Answer

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2 step factorising

Factorise a quadratic by factorising groups of terms first

1) First group

2) 2nd group

3) Factorise again

Mouse over key words

 

Summary:

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Factorise a Quadratic

List the factors of the constant term & select the pair which add to the coefficient of x.

 

Factors

Select pair

Factorise

Mouse over key words

Summary:

An example with negatives

Factors

Select pair

Factorise

Mouse over key words

Summary:

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Quadratics with a common factor

Always check for a common factor which can be divided out first

Take out a common factor

Factorise again

Factors

Answer

Mouse over key words

Summary:

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A more complex example

Step1  Step2

Step3  Step4

Step5  Step6

Answer

Mouse over key words

 

Summary:

     

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A more complex example using 2 step factorising

Step1

Step2

Step3

Step4

Step5

Answer

Mouse over key words

Summary:

     

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The difference between squares

Two squares subtracted can be factorised easily

Step1

Step2

Harder example

Step1

Step2

Mouse over key words

 

Summary:

 

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