Question

If $$(x^{101} + 101)$$ is divided by $$(x + 1)$$, then the remainder is ______.

विकल्प

• 102

• 100

• 0

• –101

Answer 1

If $$(x^{101} + 101)$$ is divided by $$(x + 1)$$, then the remainder is 100.

Explanation:

Remainder = $$f(-1) = (-1)^{101} + 101$$

$$= -1 + 101$$

$$= 100$$