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Question
If x – 2 is a factor of x3 – kx – 12, then the value of k is ______.
Options
3
2
–2
–3
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Solution
If x – 2 is a factor of x3 – kx – 12, then the value of k is –2.
Explanation:
(x – 2) is a factor of x3 – kx – 12
Then putting x – 2 = 0
i.e. x = 2 in given expression,
Remainder = 0
(2)3 – 2k – 12 = 0
8 – 2k – 12 = 0
2k = – 4
`\implies` k = –2
= –2
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