Check sibling questions

Slide22.JPG

Slide23.JPG

This video is only available for Teachoo black users

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

Example 12 Find the value of k, if π‘₯βˆ’1 is a factor of 4π‘₯^3+3π‘₯^2βˆ’4π‘₯+π‘˜ Finding remainder when πŸ’π’™^πŸ‘+πŸ‘π’™^πŸβˆ’πŸ’π’™+π’Œ is divided by x – 1 Step 1: Putting Divisor = 0 x – 1 = 0 x = 1 Step 2: Let 𝑝(π‘₯) = 4π‘₯^3+3π‘₯^2βˆ’4π‘₯+π‘˜ Putting x = 1 𝑝(𝟏) = 4γ€–(𝟏)γ€—^3+3γ€–(𝟏)γ€—^2βˆ’ 4(𝟏)+π‘˜ Dividend Divisor = 4+3βˆ’ 4+π‘˜ = πŸ‘+π’Œ Thus, Remainder = 𝑝(1) = 3+π‘˜ Step 3: Since π‘₯ – 1 is a factor of 4π‘₯^3+3π‘₯^2βˆ’4π‘₯+π‘˜ ∴ 𝒑(𝟏) = 0 3+π‘˜ = 0 k = βˆ’3 Thus, k = βˆ’πŸ‘

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.