Edexcel IGCSE Math A 2.2.D Factorising Common Factors

Practise extracting the highest common numerical and algebraic factor from two or more terms.

Exam points

find the HCF of all numerical coefficients before considering variables
choose the smallest power of each variable common to every term
divide each original term by the extracted factor to complete the bracket

[Maximum number: 2]

Jalina left her home at 1000 to cycle to a park.
On her way to the park, she stopped at a friend's house and then continued her journey to the park.
Here is the distance-time graph for her journey to the park.

Figure for Question 2.2.D Taking out common factors question 1 — Edexcel IGCSE Math A Foundation

Factorise fully $16 c^{4} p^{2}+20 c p^{3}$

$4 c p^{2}\left(4 c^{3}+5 p\right)$

2

B2 if not B2 then award B1 for any correct factorisation with at least 2 factors outside the bracket eg
$4 c p\left(4 c^{3} p+5 p^{2}\right), c p^{2}\left(16 p c^{3}+20 p\right)$ ,
$2 p\left(8 c^{4}+10 c p^{2}\right)$ etc or the correct
common factor and a 2 term
expression with just one error

Total 8 marks

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2.2.D Taking out common factors question 1