GB-05-03-001 · Factorising fully

Factorise fully $10x^2+15x$ .

Factorising: linear expressions Booklet p. 4

Method

1) Factor out: HCF (number) and Lowest Power (letter)

2) Fill in brackets: how much extra do you need

Worked Example (GB-05-03-001)

Booklet p. 4 — Factorising Grid (HCF outside left, fill in top brackets):

×	$2x$	$+3$
$5x$	$10x^2$	$+15x$

• HCF of

10

and

15

\mathbf{5}

• Lowest power of

x^2

and

x

\mathbf{x}

• Outside factor

= \mathbf{5x}

5x(2x+3)