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Question
If $$(x^{101} + 101)$$ is divided by $$(x + 1)$$, then the remainder is ______.
Options
102
100
0
–101
MCQ
Fill in the Blanks
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Solution
If $$(x^{101} + 101)$$ is divided by $$(x + 1)$$, then the remainder is 100.
Explanation:
Remainder = $$f(-1) = (-1)^{101} + 101$$
$$= -1 + 101$$
$$= 100$$
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