हिंदी

For what value of $$k$$ is the polynomial $$f(x) = 2x^3 – kx^2 + 3x + 10$$ exactly divisible by $$(x + 2)$$?

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प्रश्न

For what value of $$k$$ is the polynomial $$f(x) = 2x^3 - kx^2 + 3x + 10$$ exactly divisible by $$(x + 2)$$?

विकल्प

  • 3

  • –3

  • $$-\frac{1}{3}$$

  • – 4

MCQ
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उत्तर

–3

Explanation:

$$f(-2) = -16 - 4k - 6 + 10 = 0$$, hence $$k = -3$$.

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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 17. | पृष्ठ १२९
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