This study notes covers Worked Example 1: Numbers Only within Factorising for GCSE Mathematics. Revise Factorising in Algebra for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 4 of 12 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 12
Practice
12 questions
Recall
3 flashcards
Worked Example 1: Numbers Only
Factorise: 6x + 15
Step 1 Find HCF of 6 and 15
6 = 2 × 3, 15 = 3 × 5
HCF = 3
Step 2 Divide each term by 3
6x ÷ 3 = 2x
15 ÷ 3 = 5
Final Write in factorised form
6x + 15 = 3(2x + 5)
Check: 3 × 2x + 3 × 5 = 6x + 15 ✓