A4c – Factorising (basic)

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Factorising involving a single set of brackets

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Given that \(3x+21\) is prime, explain why \(x\) cannot be an integer.

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
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In the real world

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