Question 5 - Examples - Chapter 2 Class 9 Polynomials

Last updated at Dec. 13, 2024 by

Example 10 - Check whether polynomial q(t) = 4t3 + 4t2 - t - 1 - Examples

Example 10 - Chapter 2 Class 9 Polynomials - Part 2

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Question 5 Check whether the polynomial q(t) = 4t3 + 4t2 – t – 1 is a multiple of 2t + 1. Finding remainder when 4t3 + 4t2 – t – 1 is divided by 2t + 1 Step 1: Put Divisor = 0 2t + 1 = 0 2t = –1 t = (−1)/2 Step 2: q(t) = 4t3 + 4t2 – t – 1 Putting t = (−1)/2 q((−1)/2) = 4 ((−1)/2)^3 + 4 ((−1)/2)^2 – ((−1)/2) – 1 = − 4 (1/8) + 4 (1/4) + 1/2 − 1 = − 1/2 + 1 + 1/2 − 1 = 0 Thus, remainder = q((−1)/2) = 0 Since, remainder is 0 Thus, 4t3 + 4t2 – t – 1 is a multiple 2t + 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 and Computer Science at Teachoo