English

If $$(x^{50} – 1)$$ is divided by $$(x – 1)$$, then the remainder is ______.

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Question

If $$(x^{50} - 1)$$ is divided by $$(x - 1)$$, then the remainder is ______.

Options

  • 0

  • –2

  • 49

  • 51

MCQ
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Solution

If $$(x^{50} - 1)$$ is divided by $$(x - 1)$$, then the remainder is 0.

Explanation:

$$f(1) = 1^{50} - 1 = 0$$, so the remainder is zero.

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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 13. | Page 129
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