How To Factorise Cubic Polynomial - With Examples - Teachoo
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- Concept wise
- Factorizing cubic equation
Factorizing cubic equation
Factorising Cubic Polynomial
- Definition
- Degree & Coefficient of a polynomial
- Value of a polynomial at a given point
- Verifying Zeroes of a polynomial
- Finding Zeroes of a polynomial
- Remainder Theoram
- Check if factor
- Factorisation by middle term
- Factorisation by factor formula
-
Factorizing cubic equation
- Identity I - IV
- Identity V
- Identity VI & VII
- Identity VIII
Last updated at December 16, 2024 by Teachoo
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 ,
- We first find x where p(x) = 0.
- x = 1
- So, (x – 1) is a factor of p(x)
- We divide p(x) by (x – 1)
- We get quotient g(x)
- We factorise g(x) using splitting the middle term
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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