Factorisation (Edexcel A-Level Mathematics): Quizzes

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Factorisation
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12 questions from this quiz

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What is factorisation?

Reverse of expanding brackets

What is the general form for factorising by taking out a common factor?

ax+ay=a(x+y)ax + ay = a(x + y)

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 the factorised form of x2+5x+6x^2 + 5x + 6?

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

When factorising 2x2+7x+32x^2 + 7x + 3 where a1a \neq 1, what is the first step?

Multiply a×ca \times c

For 2x2+7x+32x^2 + 7x + 3, which two numbers multiply to 6 and add to 7?

6 and 1

What is the formula for the difference of squares?

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

What is the factorised form of x29x^2 - 9?

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

What is the general form of a perfect square trinomial?

a2+2ab+b2=(a+b)2a^2 + 2ab + b^2 = (a + b)^2

What is the factorised form of x2+6x+9x^2 + 6x + 9?

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

After grouping ax+ay+bx+byax + ay + bx + by as (ax+ay)+(bx+by)(ax + ay) + (bx + by), what is the next step?

Factor each group

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