Last updated at May 29, 2018 by Teachoo

Transcript

Ex 2.3, 3 Check whether 7 + 3x is a factor of 3x3 + 7x. Finding remainder when 3x3 + 7x is divided by 7 + 3x Step 1: Put Divisor = 0 7 + 3x = 0 3x = –7 x = (−7)/3 Step 2: Let p(x) = 3x3 + 7x Putting x = (−7)/3 p((−7)/3) = 3((−7)/3)^3 + 7((−7)/3) = − 3 (7^3/3^3 ) – 49/3 = − 243/9 – 49/3 = (−243 − 49(3))/9 = (−243 −147)/9 = (−490)/9 Thus, remainder = p((−7)/3) = (−490)/9 Since, remainder is not 0 Thus, 7 + 3x is a not factor of 3x3 + 7x

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.