हिंदी

If $$(x + 5)$$ is a factor of $$f(x) = x^3 – 20x + 5k$$, then $$k = ?$$

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प्रश्न

If $$(x + 5)$$ is a factor of $$f(x) = x^3 - 20x + 5k$$, then $$k = ?$$

विकल्प

  • –2

  • –3

  • 5

  • –5

MCQ
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उत्तर

5 

Explanation:

By the Factor Theorem, $$f(-5) = -125 + 100 + 5k = 0$$, giving $$k = 5$$.

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अध्याय 8: Remainder Theorem and Factor Theorem - COMPETENCY-FOCUSED QUESTIONS [पृष्ठ १२९]

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 8 Remainder Theorem and Factor Theorem
COMPETENCY-FOCUSED QUESTIONS | Q 16. | पृष्ठ १२९
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