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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.