Multiple Choice Questions on For what value of k is x ndash 5 a factor of x3 ndash 3x2 kx ndash 10 ........ for Graduation cum Career Security Preparation

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Multiple Choice Questions

For what value of k is x ndash 5 a factor of x3 ndash 3x2 kx ndash 10 ........

Quantitative Aptitude (CCS) Algebra
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    For what value of k is (x – 5) a factor of x3 – 3x2 + kx – 10?

    -8

    Correct Answer

    4

    Incorrect Answer

    2

    Incorrect Answer

    1

    Incorrect Answer
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    Explanation:

    Let f(x) = x3 – 3x2 + kx – 10
    Now, f(x) at (x = 5)
    ⇒   f(x) = (5)3 – 3(5)2 + 5k – 10 = 0
    ⇒   125 – 3 × 25 + 5k – 10 = 0
    ⇒   125 – 75 – 10 + 5k = 0
    ⇒   40 + 5k = 0   ⇒   5k = –40   ⇒   k = –8.

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