Factorisation (AQA A-Level Mathematics): Quizzes

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Factorisation
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What is factorisation?

Reverse of expanding brackets

What is the common factor in 6x2+9x6x^2 + 9x?

3x3x

To factorise x2+5x+6x^2 + 5x + 6, which two numbers multiply to 6 and add to 5?

2 and 3

What is x2+5x+6x^2 + 5x + 6 factorised?

(x+2)(x+3)(x + 2)(x + 3)

For 2x2+7x+32x^2 + 7x + 3, what is aimesca imes c when a=2a = 2 and c=3c = 3?

6

What is the general form for difference of squares?

a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b)

What is x29x^2 - 9 factorised?

(x+3)(x3)(x + 3)(x - 3)

In perfect square trinomial a2+2ab+b2a^2 + 2ab + b^2, what is the middle term?

Twice the product of aa and bb

What is x2+6x+9x^2 + 6x + 9 factorised?

(x+3)2(x + 3)^2

When is factorising by grouping most useful?

When expression has four terms

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