A4c – Factorising (basic)

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Factorising involving a single set of brackets

Click the tabs for extension tasks…
Given that \(x\) is a positive integer, explain why \(3x+21\) cannot be prime.

Given that \(n\) is positive integer, decide whether each of the following is true or false:
  1.  4 must be a factor of \(4n+12\)
  2.  8 cannot be a factor of \(4n+12\)
  3.  5 cannot be a factor of \(4n+12\)
  4.  \(8n+12\) must be a multiple of \(4n+12\)
  5.  \(8n+24\) must be a multiple of \(4n+12\)
  6.  The highest common factor of \((5n+15)\) and \((4n+12)\) must be greater than 1
Hover for answers:
  1.   True
  2.   False
  3.   False
  4.   False
  5.   True
  6.   True
Teacher resources

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  • Slides in PPTX (with click-to-reveal answers)
  • Slides in PDF (one slide per page, suitable for importing into IWB software)
  • Desmos classroom activity: Factorising (20 randomised questions) Find out more
Links to past exam questions

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In the real world

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