Last updated on Oct 23, 2026

Factorising (AQA GCSE Further Maths): Quizzes

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Factorising

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What is factorising?

Reverse of expanding brackets

To factorise $2x + 6$ , what is the common factor?

$2$

Factorise $x^2 + 7x + 12$ . Which numbers multiply to $12$ and add to $7$ ?

$3$ and $4$

When the constant is negative, what must be true about the factors?

One positive, one negative

What is the factorised form of $a^2 - b^2$ ?

$(a + b)(a - b)$

Factorise $x^2 - 25$ .

$(x + 5)(x - 5)$

Factorise $9x^2 - 16y^2$ .

$(3x + 4y)(3x - 4y)$

What should you look for FIRST when factorising fully?

Common factors

For $2x^2 - 5x + 3$ , what product do you need when finding factor pairs?

$6$

Factorise fully $3y^3 - 12y$ .

$3y(y + 2)(y - 2)$

How should you check your factorising is correct?

Expand it back out

For $x^2 - 3x - 10$ , which factors multiply to $-10$ and add to $-3$ ?

$2$ and $-5$

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