Ex 2.3, 1 (iii) - Chapter 2 Class 9 Polynomials

Last updated at April 16, 2024 by

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Ex 2.3, 1 Determine which of the following polynomials has (x + 1) a factor: (iii) x4 + 3x3 + 3x2 + x + 1 Finding remainder when x4 + 3x3 + 3x2 + x + 1 is divided by x + 1 Step 1: Put Divisor = 0 x + 1 = 0 x = 1 Step 2: Let p(x) = x4 + 3x3 + 3x2 + x + 1 Putting x = 1 p( 1) = ( 1)4 + 3( 1)3 + 3( 1)2 + ( 1) + 1 = 1 3 + 3 1 + 1 = 1 Thus, Remainder = p( 1) = 1 Since remainder is not zero, x + 1 is not a factor of x4 + 3x3 + 3x2 + x + 1

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.