Question 1: Preferred method of factorisation?

With the 4 methods of factorisation:

1) taking out common factor
2) grouping
3) formulae
4) cross-multiplication,

state the one you prefer most? Explain your choice?

Question 2: Factorised correctly?

How would you do your checks to see if you factorised correctly?

[Habits of Mind: Striving for Accuracy]

Points to note before attempting Questions 3 to 6

As you will be unable to type square power in x², please use x^2 to mean the same thing.

This will apply to your responses for Questions 3 to 6.

Question 3: Factorise by taking out common factor

Give an algebraic expression that can be factorised using the method of taking out the common factor.

Question 4: Factorise by grouping

Give an algebraic expression that can be factorised by using the method of grouping.

Question 4: Factorise by grouping

Give an algebraic expression that can be factorised using the method of grouping.

Question 5: Factorise by formulae

Give an algebraic expression that can be factorised using one of the three formulae.

Question 6: Factorise by cross-multiplication method

Give an algebraic expression that can be factorised by using the cross-multiplication method.

Question 7: Which method?

Out of the 4 methods of factorisation, state which method you would use for each of the two expressions. Explain your choice of method.

a) 4x²-12x+9

b) 4x²+4x-15

Question 8: Extend your Learning...

State the number of answers to the following equations.

a) 3x+2=17

b) x²-2x-3=0

c) x³-4x²+6x-7=0

Explain your answers.