Multiple Choice Questions on If the expression x3 3x2 4x k has a factor x 5 then what is the value of k ........ for Common University Entrance Test (CUET) Preparation

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Multiple Choice Questions

If the expression x3 3x2 4x k has a factor x 5 then what is the value of k ........

Quantitative Aptitude (CUET) Algebra
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    If the expression x3 + 3x2 + 4x + k has a factor x + 5, then what is the value of k?
    –70
    Incorrect Answer

    70

    Correct Answer
    48
    Incorrect Answer
    –48
    Incorrect Answer
    Explanation:

    Here, x + 5 is a factor.
    So, x + 5 = 0 ⇒ x = –5
    Now, x3 + 3x2 + 4x + k = (–5)3 + 3 × (–5)2 + 4 × (–5) + k
    ⇒ –125 + 75 – 20 + k = 0
    Now, –70 + k = 0
    So, k = 70.

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