English

If $$(x – 2)$$ is a factor of $$x^3 – kx – 12$$, then the value of $$k$$ is ______.

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Question

If $$(x - 2)$$ is a factor of $$x^3 - kx - 12$$, then the value of $$k$$ is ______.

Options

  • 3

  • 2

  • –2

  • –3

MCQ
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Solution

If $$(x - 2)$$ is a factor of $$x^3 - kx - 12$$, then the value of $$k$$ is –2.

Explanation:

$$f(2) = 8 - 2k - 12 = 0$$, which gives $$k = -2$$.

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Chapter 8: Remainder Theorem and Factor Theorem - COMPETENCY-FOCUSED QUESTIONS [Page 129]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 8 Remainder Theorem and Factor Theorem
COMPETENCY-FOCUSED QUESTIONS | Q 20. | Page 129
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