Multiple Choice Questions on Forwhat value of k is x 1 a factor of x3 kx2 x 2 ........ for CDS Exam Preparation

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Multiple Choice Questions

Forwhat value of k is x 1 a factor of x3 kx2 x 2 ........

Quantitative Aptitude (CDS) Number System
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    Forwhat value of k is (x + 1)a factor of x3 + kx2 -x + 2 ?

    4

    Incorrect Answer

    3

    Incorrect Answer

    1

    Incorrect Answer

    −2

    Correct Answer
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    Explanation:

    Let f (x) = x3 + kx2 − x + 2
    If (x + 1) is a factor of f (x).
    Then, f (−1) = 0 => (−1)3 + k(−1)2 − (−1) + 2 = 0
    => −1 + k + 1 + 2 = 0      =>k = − 2

    By: Munesh Kumari
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