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To factorise cubic polynomial p(x), we

  • Find x = a where p(a) = 0
  • Then (x – a) is the factor of p(x)
  • Now divide p(x) by (x – a) i.e. (p(x))/((x - a))
  • And then we factorise the quotient by splitting the middle term


Let us take an example

In Example 15 ,

  1. We first find x where p(x) = 0.
  2. x = 1
  3. So, (x – 1) is a factor of p(x)
  4. We divide p(x) by (x – 1)
  5. We get quotient g(x)
  6. We factorise g(x) using splitting the middle term

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.