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Last updated at May 29, 2018 by Teachoo

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Example 12 Find the value of 𝑘, if x – 1 is a factor of 4𝑥3+ 3𝑥2−4𝑥+𝑘 Let p 𝑥= 4𝑥3+ 3𝑥2−4𝑥+𝑘 It is given x – 1 is a factor of 4𝑥3+ 3𝑥2−4𝑥+𝑘 p(1) = 0 4 (1)3+ 3 (1)2 −4 1+𝑘=0 4 + 3 − 4 + k=0 4 − 4 + 3 + 𝑘=0 3 + 𝑘=0 𝑘=−3 ∴ 𝒌=−𝟑

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.