Example 12 - Find the value of k, if x – 1 is a factor - Check if factor

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Example 12 Find the value of 𝑘, if x – 1 is a factor of 4𝑥﷮3﷯+ 3𝑥﷮2﷯−4𝑥+𝑘 Let p 𝑥﷯= 4𝑥﷮3﷯+ 3𝑥﷮2﷯−4𝑥+𝑘 It is given x – 1 is a factor of 4𝑥﷮3﷯+ 3𝑥﷮2﷯−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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