CAIE IGCSE Mathematics Core C2.2.3 Factorise By Extracting Common Factors Questions

Practise Core CAIE IGCSE Mathematics by finding common factors, placing remaining terms in brackets, and checking that a complete factorisation reproduces the original expression.

Exam points

Extract the highest common numerical and algebraic factor, writing the remaining expression in brackets.
Factorise fully by checking that the common factor multiplies back to the original expression, including when a variable remains in every term.

[Maximum number: 2]

Factorise completely.
$15x^3y-3x$

$3x(5x^2y-1)$ final answer
B1 for $3(5x^3y-x)$ or $x(15x^2y-3)$ , or correct answer spoilt

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CAIE IGCSE Mathematics Core C2.2.3 Factorise By Extracting Common Factors Questions question 1