हिंदी

$$(x – 2)$$ and $$(x + 2)$$ are the factors of $$x^3 + x^2 – 4x – 4$$. The third factor of the given polynomial is ______.

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प्रश्न

$$(x - 2)$$ and $$(x + 2)$$ are the factors of $$x^3 + x^2 - 4x - 4$$. The third factor of the given polynomial is ______.

विकल्प

  • $$(x - 1)$$

  • $$(x - 4)$$

  • $$(x + 1)$$

  • $$(x + 4)$$

MCQ
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उत्तर

(x + 1)

Explanation:

$$x^3 + x^2 - 4x - 4 = (x + 1)(x^2 - 4) = (x + 1)(x - 2)(x + 2)$$.

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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 26. | पृष्ठ १२९
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