हिंदी

If $$(x^2 – 7x + a)$$ leaves a remainder 1 when divided by $$(x + 1)$$, then the value of $$a$$ is ______.

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प्रश्न

If $$(x^2 - 7x + a)$$ leaves a remainder 1 when divided by $$(x + 1)$$, then the value of $$a$$ is ______.

विकल्प

  • 1

  • –1

  • –7

  • –5

MCQ
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उत्तर

If $$(x^2 - 7x + a)$$ leaves a remainder 1 when divided by $$(x + 1)$$, then the value of $$a$$ is –7.

Explanation:

The remainder is f(–1) = 1 + 7 + a = 8 + a.

Setting 8 + a = 1 gives a = –7.

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अध्याय 8: Remainder Theorem and Factor Theorem - COMPETENCY-FOCUSED QUESTIONS [पृष्ठ १२८]

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 8 Remainder Theorem and Factor Theorem
COMPETENCY-FOCUSED QUESTIONS | Q 9. | पृष्ठ १२८
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