Factorising (AQA GCSE Maths): Quizzes

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Factorising
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What is factorising?

The opposite of expanding brackets

Which equation shows the relationship between expanding and factorising?

2x2+6x=2x(x+3)2x^2 + 6x = 2x(x + 3)

What is the first step when factorising an expression?

Look for the largest factor (HCF)

How should you check your factorisation is correct?

Expand the brackets

What is the difference between partial and complete factorisation?

Complete takes out the largest factor

Is 10a2+5a=5(2a2+a)10a^2 + 5a = 5(2a^2 + a) a complete factorisation?

No, you can still take out aa

What is the complete factorisation of y2+3yy^2 + 3y?

y(y+3)y(y + 3)

What is the largest common factor in 2p24p2p^2 - 4p?

2p2p

In 6x2+12xy=6x(x+2y)6x^2 + 12xy = 6x(x + 2y), which are factors of the original expression?

Both 6x6x and (x+2y)(x + 2y)

What does 'factorise fully' mean in an exam question?

Take out the largest possible factor

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