Example 7 - Chapter 2 Class 9 Polynomials
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 7 Find the value of k, if ๐ฅโ1 is a factor of 4๐ฅ^3+3๐ฅ^2โ4๐ฅ+๐ Finding remainder when ๐๐^๐+๐๐^๐โ๐๐+๐ is divided by x โ 1 Step 1: Putting Divisor = 0 x โ 1 = 0 x = 1 Step 2: Let ๐(๐ฅ) = 4๐ฅ^3+3๐ฅ^2โ4๐ฅ+๐ Putting x = 1 ๐(๐) = 4ใ(๐)ใ^3+3ใ(๐)ใ^2โ 4(๐)+๐ Dividend Divisor = 4+3โ 4+๐ = ๐+๐ Thus, Remainder = ๐(1) = 3+๐ Step 3: Since ๐ฅ โ 1 is a factor of 4๐ฅ^3+3๐ฅ^2โ4๐ฅ+๐ โด ๐(๐) = 0 3+๐ = 0 k = โ3 Thus, k = โ๐
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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