Factorisation (Edexcel A-Level Mathematics): Flashcards

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Factorisation
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Factorisation definition

Reverse of expanding brackets; expressing as product of factors

Purpose of factorisation

Simplifies expressions and solves equations

Common factor form: ax+ayax + ay

a(x+y)a(x + y)

Factorise: 6x2+9x6x^2 + 9x

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

Quadratic expression general form

ax2+bx+cax^2 + bx + c

Factorising x2+bx+cx^2 + bx + c method

Find two numbers: multiply to cc, add to bb

Factorise: x2+5x+6x^2 + 5x + 6

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

First step for ax2+bx+cax^2 + bx + c when aeq1a eq 1

Multiply aimesca imes c

Factorise: 2x2+7x+32x^2 + 7x + 3

(2x+1)(x+3)(2x + 1)(x + 3)

Difference of squares formula

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

Factorise: x29x^2 - 9

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

Perfect square trinomial formula

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

Factorise: x2+6x+9x^2 + 6x + 9

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

When to use factorising by grouping

When expression has four terms

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